division problem solving year 1

Division Worksheets

Welcome to the division worksheets page at Math-Drills.com! Please give us your undivided attention while we introduce this page. Our worksheets for division help you to teach students the very important concept of division. If students have a good recall of multiplication facts, the division facts should be a breeze to teach. If you want your students to experience success in learning division, please make sure they know their multiplication facts to 81, how to multiply by 0 and how to multiply by 10. If they don't know these things, learning division will take a lot longer.

On this page you will find many Division Worksheets including division facts and long division with and without remainders. We start off with some division facts which are just the multiplication facts expressed in a different way. The main difference is that you can't divide by 0 and get a real number. If you really want your students to impress, say at their dinner table when their parents ask them what they learned today, you can teach them that division by zero is undefined.

The rest of the page is devoted to long division which for some reason is disliked among some members of the population. Long division is most difficult when students don't know their multiplication facts, so make sure they know them first! Oh, we already said that. What about a long division algorithm... maybe the one you or your parents or your grandparents learned? We adamantly say, yes! The reason that you and your ancestors used it is because it is an efficient and beautiful algorithm that will allow you to solve some of the most difficult division problems that even base ten blocks couldn't touch. It works equally well for decimals and whole numbers. Long division really isn't that hard.

Most Popular Division Worksheets this Week

$3-Digit by 1-Digit Long Division with Remainders and Steps Shown on Answer Key$

Division Facts Tables

$division problem solving year 1$

Like their counterparts on the multiplication facts page, these division facts tables can be used in a variety of ways to help students learn division facts. Students can memorize, look for patterns in the tables, compare them to multiplication tables, write answers on the versions with the answers omitted, or a variety of other learning activities. The tables come in gray, color and Montessori color depending on what fits you and your printer or school the best. For those that have already mastered the facts up to 12, they might be challenged to try the 13 to 24 versions.

Division Facts Tables for Facts from 1 to 12 Division Facts Tables in Gray 1 to 12 Division Facts Tables in Gray 1 to 12 (Answers Omitted) Division Facts Tables in Color 1 to 12 Division Facts Tables in Color 1 to 12 (Answers Omitted) Division Facts Tables in Color 1 to 12 with Individual Facts Highlighted Division Facts Tables in Montessori Colors 1 to 12 Division Facts Tables in Montessori Colors 1 to 12 (Answers Omitted)
Division Facts Tables for Facts from 13 to 24 Division Facts Tables in Gray 13 to 24 Division Facts Tables in Gray 13 to 24 (Answers Omitted) Division Facts Tables in Color 13 to 24 Division Facts Tables in Color 13 to 24 (Answers Omitted)

Division Facts up to the 7 Times Table

$division problem solving year 1$

If your students aren't quite ready for all of the division facts at once, this might be a good place to start. Perhaps they are really good at the multiplying up to 5; there is a worksheet to help them practice, and when they are ready, they can include 6 then 7. This section includes vertical questions with the traditional division symbol (aka bracket) and some arranged with a division symbol like you might see addition, subtraction or multiplication arranged.

Division Facts up to the 7 Times Table with a Long Division Symbol Vertical Division Facts Up To The 5 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To The 6 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To The 7 Times Table With Long Division Symbol/Bracket (50 per page) ✎
Division Facts up to the 7 Times Table with a Division Sign Vertical Division Facts Dividends to 25 With Division Sign Vertical Division Facts Dividends to 36 With Division Sign Vertical Division Facts Dividends to 49 With Division Sign

More worksheets with division facts up to 7, but these ones are arranged horizontally. This is a more natural arrangement for students who are used to reading things from left to right, allows them to practice recalling the answers and it is possible to fit 100 of these questions on the page without it getting too cluttered. If clutter is a problem though, there are also 50 and 25 question options.

Horizontally Arranged Division Facts up to the 5 Times Table Horizontally Arranged Division Facts with Dividends to 25 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 25 ( 50 Questions ) ✎ Horizontally Arranged Division Facts with Dividends to 25 ( 25 Questions ; Large Print) ✎
Horizontally Arranged Division Facts up to the 6 Times Table Horizontally Arranged Division Facts with Dividends to 36 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 36 ( 50 Questions ) ✎ Horizontally Arranged Division Facts with Dividends to 36 ( 25 Questions ; Large Print) ✎
Horizontally Arranged Division Facts up to the 7 Times Table Horizontally Arranged Division Facts with Dividends to 49 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 49 ( 50 Questions ) ✎ Horizontally Arranged Division Facts with Dividends to 49 ( 25 Questions ; Large Print) ✎

Some students require chunking and more practice before they can handle the more complex pages with many different divisors. Here the worksheets only contain one divisor and there are several repetitions of the set on each page.

Dividing by Individual Facts up to the 7 Times Table Vertically Arranged Dividing by 1 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 2 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 4 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 5 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 6 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7 with Quotients 1 to 7 ( 50 Questions ) ✎
Dividing by Groups of Individual Facts up to the 7 Times Table Vertically Arranged Dividing by 1, 2 and 5 with Quotients 1 to 7 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3, 4 and 6 with Quotients 1 to 7 ( 50 Questions ) ✎

More individual division facts worksheets but with a horizontal arrangement. This section includes 50 and 25 question options with each set repeated on the page.

Horizontally Arranged Dividing by Individual Facts up to the 7 Times Table (50 Questions per Page) Horizontally Arranged Dividing by 1 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 7 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 7 ( 50 Questions ) ✎
Horizontally Arranged Dividing by Individual Facts up to the 7 Times Table (25 Large Print Questions per Page) Horizontally Arranged Dividing by 1 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 7 ( 25 Questions ; Large Print) ✎

Division Facts up to the 9 Times Table

$division problem solving year 1$

Manipulatives can help students "get" the concept of division. For example, students could regroup base ten blocks into units, then divide the units into piles. For the question 81 ÷ 9, students would start with eight ten blocks and one unit block. They would trade in the ten blocks for unit blocks and try to distribute all 81 of the unit blocks into nine piles. If they did it correctly, they would end up with 9 piles of 9 units and could say that 81 ÷ 9 = 9 as there are 9 units in each pile.

Division Facts up to the 9 Times Table With a Long Division Symbol Vertical Division Facts Up To The 8 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To The 9 Times Table With Long Division Symbol/Bracket (50 per page) ✎
Division Facts up to the 9 Times Table with a Division Sign Vertical Division Facts Dividends to 64 With Division Sign Vertical Division Facts Dividends to 81 With Division Sign Large Print Vertical Division Facts Dividends to 81 With Division Sign

If students learn up to the 9 times table and can do all the related division, they are likely to do well in later math studies. Long multiplication and long division, algebra, and many other math topics rely on students knowing these facts. Division facts worksheets up to the nine times tables can be used for students to practice, as a diagnostic test to see what gaps exist, or as a mastery test before moving on to the next topic. This section includes horizontally arranged questions which allows for a 100 per page option. Worksheets up to the 8 times table are also included to ensure a continual flow with the rest of this page, say, if you were adding one number at a time.

Horizontally Arranged Division Facts up to the 8 Times Table Horizontally Arranged Division Facts with Dividends to 64 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 64 ( 50 Questions ) ✎ Horizontally Arranged Division Facts with Dividends to 64 ( 25 Questions ; Large Print) ✎
Horizontally Arranged Division Facts up to the 9 Times Table Horizontally Arranged Division Facts with Dividends to 81 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 81 ( 50 Questions ) ✎ Horizontally Arranged Division Facts with Dividends to 81 ( 25 Questions ; Large Print) ✎

More individual facts where a single number is used as the divisor throughout the entire worksheet. The quotients end up being in the range 1 to 9. These are great for students that need more practice on one or more divisors. This might be identified using a diagnostic test of a worksheet that includes all the division facts. If students consistently get questions wrong with a certain divisor, these worksheets might help them.

Dividing by Individual Facts up to the 9 Times Table Vertically Arranged Dividing by 1 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 2 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 4 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 5 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 6 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 8 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 9 with Quotients 1 to 9 ( 50 Questions ) ✎
Dividing by Groups of Individual Facts up to the 9 Times Table Vertically Arranged Dividing by 1, 2 and 5 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3, 4 and 6 with Quotients 1 to 9 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7, 8 and 9 with Quotients 1 to 9 ( 50 Questions ) ✎

Same as the previous section except with horizontally arranged questions and more options for the number of questions per page.

Horizontally Arranged Dividing by Individual Facts up to the 9 Times Table (100 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 9 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 9 ( 100 Questions ) ✎
Horizontally Arranged Dividing by Individual Facts up to the 9 Times Table (50 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 9 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 9 ( 50 Questions ) ✎
Horizontally Arranged Dividing by Individual Facts up to the 9 Times Table (25 Large Print Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 9 ( 25 Questions ; Large Print) ✎

Division Facts up to the 10 Times Table

$division problem solving year 1$

Ten is such an important number in math. Our entire numbering system is based on tens. There are ten digits and each lower place is a tenth (divided by 10) of the place before it. Although 10 is a two-digit number, it is almost always included in multiplication and division facts learning. Multiplying and dividing by 10 is so important there is a whole page (powers of ten) on Math-Drills dedicated to it.

If you jumped right to this section, you cannot be blamed! A lot of students learn their times tables all at once and that means including the most important 10! So, when they are ready for division worksheets, they are ready for this section. For students who might be struggling a bit though, please scroll up and start them off with something a little more at their pace.

Division Facts up to the 10 Times Table With a Long Division Symbol Vertical Division Facts Up To The 10 Times Table With Long Division Symbol/Bracket (50 per page) ✎
Division Facts up to the 10 Times Table with a Division Sign Vertical Division Facts Dividends to 100 With Division Sign

Even with its size, 10 is often the easiest divisor to use... well, besides 1. This section includes horizontally arranged practice questions for all the division facts from the 1 times to the 10 times table.

Horizontally Arranged Division Facts up to the 10 Times Table Horizontally Arranged Division Facts with Dividends to 100 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 100 ( 50 Questions ) ✎

The worksheets in this section are included for students that need the facts one at a time with quotients from 1 to 10.

Dividing by Individual Facts up to the 10 Times Table Vertically Arranged Dividing by 1 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 2 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 4 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 5 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 6 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 8 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 9 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 10 with Quotients 1 to 10 ( 50 Questions ) ✎
Dividing by Groups of Individual Facts up to the 10 Times Table Vertically Arranged Dividing by 1, 2, 5 and 10 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3, 4 and 6 with Quotients 1 to 10 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7, 8 and 9 with Quotients 1 to 10 ( 50 Questions ) ✎

A horizontal repeat of the previous section.

Horizontally Arranged Dividing by Individual Facts up to the 10 Times Table (100 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 10 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 10 ( 100 Questions ) ✎
Horizontally Arranged Dividing by Individual Facts with up to the 10 Times Table (50 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 10 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 10 ( 50 Questions ) ✎
Horizontally Arranged Dividing by Individual Facts up to the 10 Times Table (25 Large Print Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 10 ( 25 Questions ; Large Print) ✎

Division Facts up to the 12 Times Table

$division problem solving year 1$

Ah, twelve. Educators have a penchant for the the 12 times table likely because it is important in clocks, eggs, the Vendergood language, and definitely to the Dozenal Societies of America and Great Britain. In mathematics, it is seen mostly in the completion of both multiplication and division facts worksheets. Since Math-Drills is happy to support the base twelve system, we present worksheets with division facts up to the 12 times table in the unlikely event that the duodecimal (aka dozenal) system is ever adopted.

Division Facts up to the 12 Times Table with a Long Division Symbol Vertical Division Facts Up To The 11 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To The 12 Times Table With Long Division Symbol/Bracket (50 per page) ✎
Division Facts up to the 12 Times Table with a Division Sign Vertical Division Facts Dividends to 144 With Division Sign

Division is essentially asking the question, "How many _____'s are in _____?" For the question, 81 ÷ 9, the prompt would sound like, "How many 9's are in 81?" This prompt will benefit students in later math studies when there are more complex concepts such as dividing decimals or fractions. "How many thirds are in four?" or even better, "How many third cups are in four cups?" If necessary, get out the measuring cups.

This important section includes worksheets with division facts up to the 12 times table with a 100 question option.

Horizontally Arranged Division Facts up to the 12 Times Table Horizontally Arranged Division Facts with Dividends to 144 ( 100 Questions) ✎ Horizontally Arranged Division Facts with Dividends to 144 ( 50 Questions ) ✎

So, if you are having your students learn division facts up to the 12 times table, it might be useful to have some worksheets with individual facts for a few students who might be overwhelmed with everything at once!

Dividing by Individual Facts up to the 12 Times Table Vertically Arranged Dividing by 1 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 2 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 4 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 5 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 6 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 8 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 9 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 10 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 11 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 12 with Quotients 1 to 12 ( 50 Questions ) ✎
Dividing by Groups of Individual Facts up to the 12 Times Table Vertically Arranged Dividing by 1, 2, 5 and 10 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 3, 4 and 6 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 7, 8 and 9 with Quotients 1 to 12 ( 50 Questions ) ✎ Vertically Arranged Dividing by 11 and 12 with Quotients 1 to 12 ( 50 Questions ) ✎

Same idea as the previous section, but with a horizontal arrangement and different numbers of questions on each page.

Horizontally Arranged Dividing by Individual Facts up to the 12 Times Table (100 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 11 with Quotients 1 to 12 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 12 with Quotients 1 to 12 ( 100 Questions ) ✎
Horizontally Arranged Dividing by Groups of Individual Facts up to the 12 Times Table (100 Questions) Horizontally Arranged Dividing by 1, 2, 5 and 10 (Quotient 1-12)
Horizontally Arranged Dividing by Individual Facts up to the 12 Times Table (50 Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 11 with Quotients 1 to 12 ( 50 Questions ) ✎ Horizontally Arranged Dividing by 12 with Quotients 1 to 12 ( 50 Questions ) ✎
Horizontally Arranged Dividing by Individual Facts up to the 12 Times Table (25 Large Print Questions) Horizontally Arranged Dividing by 1 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 2 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 3 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 4 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 5 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 6 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 7 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 8 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 9 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 10 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 11 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎ Horizontally Arranged Dividing by 12 with Quotients 1 to 12 ( 25 Questions ; Large Print) ✎

Division Facts beyond the 12 Times Table

$division problem solving year 1$

Scenario: you have some students that have aced the division facts up to the 12 times table and need more of a challenge. This section has got you covered. Is there an argument for learning division facts for times tables beyond 9? 10? 12? Sure, why not. Students are likely to apply their knowledge in future math studies by instantly recognizing that the square root of 625 is 25, for example.

Division Facts up to the 25 Times Table With a Long Division Symbol Vertical Division Facts Up To the 13 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 14 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 15 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 16 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 17 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 18 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 19 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts Up To the 20 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts From 5 Up To the 21 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts From 5 Up To the 22 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts From 5 Up To the 23 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts From 5 Up To the 24 Times Table With Long Division Symbol/Bracket (50 per page) ✎ Vertical Division Facts From 5 Up To the 25 Times Table With Long Division Symbol/Bracket (50 per page) ✎
Division Facts Up to the 15 Times Table With a Division Sign Vertical Division Facts Dividends to 169 With Division Sign Vertical Division Facts Dividends to 196 With Division Sign Vertical Division Facts Dividends to 225 With Division Sign

There are certainly a few questions on these worksheets that will be useful knowledge later on. If your students are interested in learning them, anything to do with 16, 20, 24, and 25 will certainly be useful, and likely someone could come up with a reason for learning the others. Sixteen is used in the base 16 (aka hexadecimal system), so converting hexadecimal numbers to decimal numbers involves dividing (and multiplying by 16). Twenty is a great number that is divisible by six different numbers and in turn is a factor of some important numbers. Twenty is also a coin unit in many countries. Twenty-four hours is the length of a day, so if you wanted to know how many days were in 288 hours, you might want to know your 24 times table division facts. Twenty-five, well that is the value of a quarter, isn't it? You could also calculate how many seconds of PAL video you have by dividing the number of frames by 25!

Horizontally Arranged Division Facts up to the 20 Times Table Horizontally Arranged Division Facts Up to the 13 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 14 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 15 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 16 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 17 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 18 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 19 Times Table ( 100 Questions) ✎ Horizontally Arranged Division Facts Up to the 20 Times Table ( 100 Questions) ✎

If the previous two sections are a little tough to handle right out of the gates, perhaps start with these worksheets that only deal with one of the divisors at a time.

Dividing by Individual Facts up to the 25 Times Table Vertically Arranged Dividing by 13 with Quotients 1 to 13 ( 50 Questions ) ✎ Vertically Arranged Dividing by 14 with Quotients 1 to 14 ( 50 Questions ) ✎ Vertically Arranged Dividing by 15 with Quotients 1 to 15 ( 50 Questions ) ✎ Vertically Arranged Dividing by 16 with Quotients 1 to 16 ( 50 Questions ) ✎ Vertically Arranged Dividing by 17 with Quotients 1 to 17 ( 50 Questions ) ✎ Vertically Arranged Dividing by 18 with Quotients 1 to 18 ( 50 Questions ) ✎ Vertically Arranged Dividing by 19 with Quotients 1 to 19 ( 50 Questions ) ✎ Vertically Arranged Dividing by 20 with Quotients 1 to 20 ( 50 Questions ) ✎ Vertically Arranged Dividing by 21 with Quotients 1 to 21 ( 50 Questions ) ✎ Vertically Arranged Dividing by 22 with Quotients 1 to 22 ( 50 Questions ) ✎ Vertically Arranged Dividing by 23 with Quotients 1 to 23 ( 50 Questions ) ✎ Vertically Arranged Dividing by 24 with Quotients 1 to 24 ( 50 Questions ) ✎ Vertically Arranged Dividing by 25 with Quotients 1 to 25 ( 50 Questions ) ✎

Even more of the previous section, but with 100 questions per page and a horizonal arrangement.

Horizontally Arranged Dividing by Individual Facts up to the 25 Times Table Horizontally Arranged Dividing by 13 with Quotients 1 to 13 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 14 with Quotients 1 to 14 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 15 with Quotients 1 to 15 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 16 with Quotients 1 to 16 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 17 with Quotients 1 to 17 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 18 with Quotients 1 to 18 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 19 with Quotients 1 to 19 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 20 with Quotients 1 to 20 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 21 with Quotients 1 to 21 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 22 with Quotients 1 to 22 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 23 with Quotients 1 to 23 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 24 with Quotients 1 to 24 ( 100 Questions ) ✎ Horizontally Arranged Dividing by 25 with Quotients 1 to 25 ( 100 Questions ) ✎

Long division Worksheets

$division problem solving year 1$

Need an easier way to divide large numbers? Try this method using powers of ten. To successfully use this method, students need to be able to multiply by powers of ten and to subtract. Students subtract the dividend multiplied by decreasing powers of ten until they have zero or a remainder. Example: 1458 ÷ 54. Note 54 × 1 = 54, 54 × 10 = 540 (nothing greater is needed). 1458 - 540 - 540 = 378. Note that 540 was subtracted twice, so the number of times that 54 "goes into" 1458 so far is 20 times. Continuing, 378 - 54 - 54 - 54 - 54 - 54 - 54 - 54 = 0. Since 54 was subtracted seven times, the quotient increases by seven for a total of 27. In other words, 54 "goes into" 1458, 27 times.

We might also mention that this method can be even more sophisticated by using multiples of powers of ten. In the above example, using 54 × 5 = 270 would have helped to get to the quotient quicker.

Long Division Worksheets with No Remainders Long Division with No Remainders with a Multiple of Ten Divisor and a 2-Digit Quotient Long Division with No Remainders with a 1-Digit Divisor and a 1-Digit Quotient Long Division with No Remainders with a 1-Digit Divisor and a 2-Digit Quotient Long Division with No Remainders with a 1-Digit Divisor and a 3-Digit Quotient Long Division with No Remainders with a 2-Digit Divisor and a 2-Digit Quotient Long Division with No Remainders with a 2-Digit Divisor and a 3-Digit Quotient Long Division with No Remainders with a 2-Digit Divisor and a 4-Digit Quotient Long Division with No Remainders with a 3-Digit Divisor and a 3-Digit Quotient Long Division with No Remainders with a 3-Digit Divisor and a 4-Digit Quotient Long Division with No Remainders with a 3-Digit Divisor and a 5-Digit Quotient
European Format Long Division Worksheets with No Remainders European Format Long Division with No Remainders with a 1-Digit Divisor and a 1-Digit Quotient European Format Long Division with No Remainders with a 1-Digit Divisor and a 2-Digit Quotient European Format Long Division with No Remainders with a 1-Digit Divisor and a 3-Digit Quotient European Format Long Division with No Remainders with a 2-Digit Divisor and a 2-Digit Quotient European Format Long Division with No Remainders with a 2-Digit Divisor and a 3-Digit Quotient European Format Long Division with No Remainders with a 2-Digit Divisor and a 4-Digit Quotient European Format Long Division with No Remainders with a 3-Digit Divisor and a 2-Digit Quotient European Format Long Division with No Remainders with a 3-Digit Divisor and a 3-Digit Quotient European Format Long Division with No Remainders with a 3-Digit Divisor and a 4-Digit Quotient

Have you ever thought that you could help a student understand things better and get a more precise answer while still using remainders? It's quite easy really. Remainders are usually given out of context, including on the answer keys below. A remainder is really a numerator in a fractional quotient. For example 19 ÷ 3 is 6 with a remainder of 1 which is more precisely 6 1/3. Using fractional quotients means your students will always find the exact answer to all long division questions, and in many cases the answer will actually be more precise (e.g. compare 6 1/3 with 6.3333....).

Long Division Worksheets with Remainders Long Division with Remainders with a Multiple of Ten Divisor and a 2-Digit Quotient Long Division with Remainders with a 1-Digit Divisor and a 2-Digit Dividend Long Division with Remainders with a 1-Digit Divisor and a 3-Digit Dividend Long Division with Remainders with a 1-Digit Divisor and a 4-Digit Dividend Long Division with Remainders with a 2-Digit Divisor and a 3-Digit Dividend Long Division with Remainders with a 2-Digit Divisor and a 4-Digit Dividend Long Division with Remainders with a 2-Digit Divisor and a 5-Digit Dividend Long Division with Remainders with a 3-Digit Divisor and a 4-Digit Dividend Long Division with Remainders with a 3-Digit Divisor and a 5-Digit Dividend Long Division with Remainders with a 3-Digit Divisor and a 6-Digit Dividend
European Format Long Division Worksheets with Remainders European Format Long Division with Remainders with a 1-Digit Divisor and a 2-Digit Dividend European Format Long Division with Remainders with a 1-Digit Divisor and a 3-Digit Dividend European Format Long Division with Remainders with a 1-Digit Divisor and a 4-Digit Dividend European Format Long Division with Remainders with a 2-Digit Divisor and a 3-Digit Dividend European Format Long Division with Remainders with a 2-Digit Divisor and a 4-Digit Dividend European Format Long Division with Remainders with a 2-Digit Divisor and a 5-Digit Dividend European Format Long Division with Remainders with a 3-Digit Divisor and a 4-Digit Dividend European Format Long Division with Remainders with a 3-Digit Divisor and a 5-Digit Dividend European Format Long Division with Remainders with a 3-Digit Divisor and a 6-Digit Dividend
Long Division Worksheets with Decimal Quotients Long Division with Decimal Quotients with a 1-Digit Divisor; 2-Digit Dividend Long Division with Decimal Quotients with a 1-Digit Divisor; 3-Digit Dividend Long Division with Decimal Quotients with a 1-Digit Divisor; 4-Digit Dividend Long Division with Decimal Quotients with a 2-Digit Divisor; 3-Digit Dividend Long Division with Decimal Quotients with a 2-Digit Divisor; 4-Digit Dividend Long Division with Decimal Quotients with a 2-Digit Divisor; 5-Digit Dividend Long Division with Decimal Quotients with a 3-Digit Divisor; 4-Digit Dividend Long Division with Decimal Quotients with a 3-Digit Divisor; 5-Digit Dividend Long Division with Decimal Quotients with a 3-Digit Divisor; 6-Digit Dividend
European Format Long Division Worksheets with Decimal Quotients European Format Long Division with Decimal Quotients with a 1-Digit Divisor; 2-Digit Dividend European Format Long Division with Decimal Quotients with a 1-Digit Divisor; 3-Digit Dividend European Format Long Division with Decimal Quotients with a 2-Digit Divisor; 2-Digit Dividend European Format Long Division with Decimal Quotients with a 2-Digit Divisor; 3-Digit Dividend European Format Long Division with Decimal Quotients with a 2-Digit Divisor; 4-Digit Dividend European Format Long Division with Decimal Quotients with a 3-Digit Divisor; 3-Digit Dividend European Format Long Division with Decimal Quotients with a 3-Digit Divisor; 4-Digit Dividend European Format Long Division with Decimal Quotients with a 3-Digit Divisor; 5-Digit Dividend

We thought it might be helpful to include some long division worksheets with the steps shown. The answer keys for these division worksheets use the standard algorithm that you might learn if you went to an English speaking school. Learning this algorithm by itself is sometimes not enough as it may not lead to a good conceptual understanding. One tool that helps students learn the standard algorithm and develop an understanding of division is a set of base ten blocks. By teaching students division with base ten blocks first then progressing to the standard algorithm, students will gain a conceptual understanding plus have the use of an efficient algorithm for long division. Students who have both of these things will naturally experience more success in their future mathematical studies.

Long Division with 1-Digit Divisors with the Steps Shown on the Answer Key 2-Digit by 1-Digit Long Division with Remainders with the Steps Shown on the Answer Key 3-Digit by 1-Digit Long Division with Remainders with the Steps Shown on the Answer Key 4-Digit by 1-Digit Long Division with Remainders with the Steps Shown on the Answer Key 5-Digit by 1-Digit Long Division with Remainders with the Steps Shown on the Answer Key 6-Digit by 1-Digit Long Division with Remainders with the Steps Shown on the Answer Key
Long Division with 2-Digit Divisors with the Steps Shown on the Answer Key 3-Digit by 2-Digit Long Division with Remainders with the Steps Shown on the Answer Key 4-Digit by 2-Digit Long Division with Remainders with the Steps Shown on the Answer Key 5-Digit by 2-Digit Long Division with Remainders with the Steps Shown on the Answer Key 6-Digit by 2-Digit Long Division with Remainders with the Steps Shown on the Answer Key
Long Division with 3-Digit Divisors with the Steps Shown on the Answer Key 4-Digit by 3-Digit Long Division with Remainders with the Steps Shown on the Answer Key 5-Digit by 3-Digit Long Division with Remainders with the Steps Shown on the Answer Key 6-Digit by 3-Digit Long Division with Remainders with the Steps Shown on the Answer Key

Some students find it difficult to get everything lined up when completing a long division algorithm, so these worksheets include a grid and wider spacing of the digits to help students get things in the right place. The answer keys include the typical steps that students would record while completing each problem; however, slight variations in implementation may occur. For example, some people don't bother with the subtraction signs,some might show steps subtracting zero, etc.

Long Division Worksheets with Grid Assistance and Prompts (No Remainders) 2-Digit by 1-Digit Long Division with Grid Assistance and Prompts and NO Remainders 3-Digit by 1-Digit Long Division with Grid Assistance and Prompts and NO Remainders 3-Digit by 2-Digit Long Division with Grid Assistance and Prompts and NO Remainders 4-Digit by 1-Digit Long Division with Grid Assistance and Prompts and NO Remainders 4-Digit by 2-Digit Long Division with Grid Assistance and Prompts and NO Remainders 5-Digit by 1-Digit Long Division with Grid Assistance and Prompts and NO Remainders 5-Digit by 2-Digit Long Division with Grid Assistance and Prompts and NO Remainders 6-Digit by 1-Digit Long Division with Grid Assistance and Prompts and NO Remainders 6-Digit by 2-Digit Long Division with Grid Assistance and Prompts and NO Remainders
Long Division Worksheets with Grid Assistance Only (No Remainders) 3-Digit by 1-Digit Long Division with Grid Assistance and NO Remainders 3-Digit by 2-Digit Long Division with Grid Assistance and NO Remainders 4-Digit by 1-Digit Long Division with Grid Assistance and NO Remainders 4-Digit by 2-Digit Long Division with Grid Assistance and NO Remainders 5-Digit by 1-Digit Long Division with Grid Assistance and NO Remainders 5-Digit by 2-Digit Long Division with Grid Assistance and NO Remainders 6-Digit by 1-Digit Long Division with Grid Assistance and NO Remainders 6-Digit by 2-Digit Long Division with Grid Assistance and NO Remainders
Long Division Worksheets with Grid Assistance and Prompts (Some Remainders) 2-Digit by 1-Digit Long Division with Grid Assistance and Prompts and some Remainders 3-Digit by 1-Digit Long Division with Grid Assistance and Prompts and some Remainders 3-Digit by 2-Digit Long Division with Grid Assistance and Prompts and some Remainders 4-Digit by 1-Digit Long Division with Grid Assistance and Prompts and some Remainders 4-Digit by 2-Digit Long Division with Grid Assistance and Prompts and some Remainders 5-Digit by 1-Digit Long Division with Grid Assistance and Prompts and some Remainders 5-Digit by 2-Digit Long Division with Grid Assistance and Prompts and some Remainders 6-Digit by 1-Digit Long Division with Grid Assistance and Prompts and some Remainders 6-Digit by 2-Digit Long Division with Grid Assistance and Prompts and some Remainders
Long Division Worksheets with Grid Assistance Only (Some Remainders) 3-Digit by 1-Digit Long Division with Grid Assistance and some Remainders 3-Digit by 2-Digit Long Division with Grid Assistance and some Remainders 4-Digit by 1-Digit Long Division with Grid Assistance and some Remainders 4-Digit by 2-Digit Long Division with Grid Assistance and some Remainders 5-Digit by 1-Digit Long Division with Grid Assistance and some Remainders 5-Digit by 2-Digit Long Division with Grid Assistance and some Remainders 6-Digit by 1-Digit Long Division with Grid Assistance and some Remainders 6-Digit by 2-Digit Long Division with Grid Assistance and some Remainders

Divisibility by 2, 5 and 10

A number is divisible by 2 if the final digit (the digit in the ones place) is even. Numbers ending in 0, 2, 4, 6, or 8 therefore are divisible by 2. A number is divisible by 5 if the final digit is a 0 or a 5. A number is divisible by 10 if the final digit is a 0.

Divisibility by 3, 6 and 9

A number is divisible by 3 if the sum of its digits is divisible by 3. For example, 285 is divisible by 3 because 2 + 8 + 5 = 15 is divisible by 3. A number is divisible by 6 if it is divisible by both 3 and 2 (see above rules). A number is divisible by 9 if the sum of its digits is divisible by 9. For examples, 285 is not divisible by 9 because 2 + 8 + 5 = 15 is not divisible by 9.

Divisibility by 4, 7 and 8

A number is divisible by 4 if the last two digits of the number are divisible by 4. For 7, there are a couple of strategies to use. Please see Divisibility Tricks for Learning Math for more information. A number is divisible by 8 if the last three digits are divisible by 8. This is the standard rule which can be a little sketchy for larger numbers, like who knows if 680 is divisible by 8? Because of this, we offer our Math-Drills.com solution which requires a little arithmetic, but can be accomplished quite easily with a little practice. As you know 8 is 2 to the third power, so we thought if you could divide the last three digits of a number by 2 three times, it would be divisible by 8. 680 ÷ 2 ÷ 2 ÷ 2 = 340 ÷ 2 ÷ 2 = 170 ÷ 2 = 85. We have a winner! 680 is indeed divisible by 8.

Divisibility Rules Worksheets with 2-Digit Numbers Divisibility of 2, 5 and 10 (2-digit) Divisibility of 3, 6 and 9 (2-digit) Divisibility of 4, 7 and 8 (2-digit) Divisibility of Numbers 2 to 10 (2-digit)
Divisibility Rules Worksheets with 3-Digit Numbers Divisibility of 2, 5 and 10 (3-digit) Divisibility of 3, 6 and 9 (3-digit) Divisibility of 4, 7 and 8 (3-digit) Divisibility of Numbers 2 to 10 (3-digit)
Divisibility Rules Worksheets with 4-Digit Numbers Divisibility of 2, 5 and 10 (4-digit) Divisibility of 3, 6 and 9 (4-digit) Divisibility of 4, 7 and 8 (4-digit) Divisibility of Numbers 2 to 10 (4-digit)

Dividing numbers in number systems other than decimal numbers including binary, quaternary, octal, duodecimal and hexadecimal numbers.

Worksheets for Long Division in Other Base Number Systems Dividing Binary Numbers (Base 2) Dividing Ternary Numbers (Base 3) Dividing Quaternary Numbers (Base 4) Dividing Quinary Numbers (Base 5) Dividing Senary Numbers (Base 6) Dividing Octal Numbers (Base 8) Dividing Duodecimal Numbers (Base 12) Dividing Hexadecimal Numbers (Base 16) Dividing Vigesimal Numbers (Base 20) Dividing Hexatrigesimal Numbers (Base 36) Dividing Various Numbers (Various Bases)

Multiplying and dividing

KS1 Maths videos, quizzes and activities that will help students practise their multiplying and dividing knowledge and skills.

Part of KS1 Maths

The 10 times table

Listen to this catchy song about the 10 times table.

The 5 times table

Sing along to the 5 times table and find out about multiples of 5.

The 2 times table

Practise your 2 times tables with the help of a fun song.

Learn how to make doubles and explore doubling numbers up to 20.

What is division?

Find out how to sort numbers into groups and dividing them equally.

Using number lines for division

Discover how to use number lines for division.

How to multiply using an array

Find out how to use an array to solve multiplication problems.

How to divide using an array

Find out how to use an array to work out division problems.

What are multiples?

Find out what multiples are and how to sort multiples of 2 and 5.

Play Karate Cats Maths game!

Times tables games and songs

All Bitesize Primary games

BBC Teach: KS1 Maths

School Radio: Mathematics

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2. Try different methods of division

In Year 1, your child will begin to understand division as sharing and grouping. There are many easy ways you can support this at home.

Division by sharing

Ask your child to practise division by sharing objects equally.For example, 8 ÷ 2 could be solved by sharing 8 objects into 2 equal groups. Using objects such as your child’s toys, items of food, or buttons helps them visualise what the calculation means and keeps them interested.

Ask your child to find out how many objects there are to begin with. Can they share the objects equally between the two of you? Help them to share objects one at a time between the two groups. When all the objects have been shared, ask your child how many there are in each group. If you have the same number, explain that your child has shared the objects equally into two groups which is the same as dividing by two.

If you do not have the same number, ask your child if the objects have been shared equally. For example, ‘we started with 11 objects and shared them into two groups and I have 6 objects and you have 5 objects. Are they equal? If they are not equal then 11 cannot be shared equally into two groups so 11 cannot be divided by 2 equally using whole numbers or objects.’

Video: How to do division by sharing

Division by grouping

It’s important that your child also understands division as grouping. Again, you can use any objects from around your home to practise division as grouping.

Ask your child to find out how many there are in a group of objects. Explain to them that you want to find out how many groups of two there are in the total group. Help your child to take two items at a time and count how many groups of two there are in the total number.

For example, if you had 8 objects and wanted to divide by grouping this could be seen as ‘How many groups of 2 are there in 8?’. Ask and support your child to explain that they have divided the 8 objects by grouping them in twos and finding out how many groups of 2 there are in the total group of 8 objects.

Video: How to do division by grouping

3. Use mathematical language

It’s helpful to be able to use the language of multiplication and division when talking with your child, because being able to reason and communicate mathematically is one of the main aims of the National Curriculum. It also makes it much easier for your child to understand calculations when they are learning in school.

Multiplication language includes multiply , times, repeated, addition , equal groups , and arrays . Division language includes divide , sharing equally , grouping equally , and arrays .

You can help your child learn these terms by asking them to use this language to explain how they have solved a problem. It may be helpful to have the mathematical words written on cards and to ask your child to use some of the words in their explanations.

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Division Worksheets

Division worksheets for grade 3 through grade 6.

Our free division worksheets start with practicing simple division facts (e.g. 10 ÷2 = 5) and progress to long division with divisors up to 99. Exercises with and without remainders and with missing divisors or dividends are included.

Choose your grade / topic:

Grade 3 division worksheets, grade 4 mental division worksheets, grade 4 long division worksheets, grade 5 division worksheets, grade 6 division worksheets.

Division facts: drills and practice

Long division: drills and practice

Division flashcards

Topics include:

Meaning of division & division sentences
Equal groups
Division by 2 or 3, 4 or 5, 6 or 7, 8 or 9
Division facts practice (tables 1-10)
Division facts practice (tables 1-12)
Multiplication and division fact families
Division facts with missing dividend or divisors
Dividing by 10
Dividing by 100
Divide by whole 10s
Divide by whole hundreds
Divide 3 or 4 digit numbers by 1 digit numbers (no remainders)
Division with remainders (1-100)
Long division: Division facts (1-100), no remainder
Long division: Division facts (1-100), with remainder
Division word problems
Division facts (tables 1-10, 1-12)
Division facts with missing dividend or divisor
Divide by 10 or 100
Divide by whole tens or hundreds
Divide whole tens or hundreds by 1-digit numbers
Divide numbers up to 1,000 by 1-digit numbers
Division with remainders (1-1,000)
Divide by 10 or 100, with remainders
Mixed multiplication and division word problems
Mixed 4 operations word problems
Division facts in long division form
2 digit numbers divided by 1-digit numbers, with / without remainders
3 digit numbers divided by 1-digit numbers, with / without remainders
4 digit numbers divided by 1-digit numbers, with / without remainders
Divide 3 or 4-digit numbers by 1-digit numbers mentally
Division with remainder 1-100, 1-1,000
Dividing by whole tens or hundreds, with remainders
Long division with 1-digit divisors, no remainders
Long division with 1-digit divisors, with remainders
Long division with 2-digit divisors (10-25, 10-99)
Missing dividend or divisor problems
Missing factor problems (solve by long division)
1-10,000 divided by 1-digit numbers, no remainder
1-100,000 divided by 1-digit numbers, with remainder
Long division by 2-digit divisors

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Multiplication and Division

These activities are part of our Primary collections , which are problems grouped by topic.

These lower primary tasks will help you to think about multiplication and division.

These upper primary tasks will help you to think about multiplication and division.

Division Problem Solving

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Our Division Problem Solving resource provides students with the opportunity to demonstrate their understanding of division concepts, with and without remainders. Its versatility makes it the perfect task for a Maths activity or an assessment piece!

To complete the task, students are given a division problem to glue on their Division Problem Solving Mat or Division Problem Solving worksheet. The Division Problem Solving Mats are designed for students to solve one problem at a time, while the Division Problem Solving worksheets allow students to solve 2 problems per page. We have included problems that are phrased in a variety of ways, and you have the option to choose problems that will result in a remainder or a whole number based on your students’ individual needs.

To demonstrate their understanding of the problem, students are provided with multiple ways to solve the problem and show their working out, including:

Number sentence
Fact family
Written strategy (we have provided a checklist of options)
Word problem

To cater for the needs of your students, we have included an Editable Division Problem Card template where you can write your own division problems! In addition, we have included generic mat and worksheet templates that can be used with any style of division problem.

Additional information

File Format	zip
Number of Pages	14
Australian Curriculum Code	AC9M3N04, AC9M3N05, AC9M3N06, AC9M4A02, AC9M4N05, AC9M4N06, AC9M4N07, AC9M4N08, AC9M5A01, AC9M5N010, AC9M5N07, AC9M5N08, AC9M6N06, AC9M6N08

Australian Curriculum V9

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Maths Resources & Worksheets > Year 1 Maths Resources & Worksheets >

Multiplication and Division Resources and Worksheets

About these resources.

Differentiated maths resources for Summer Block 1 (Multiplication and Division) in small steps for KS1 children in Year 1. Each small step contains a pack of resources which includes a teaching PowerPoint, a varied fluency worksheet pack (in three differentiated levels) and a reasoning and problem solving worksheet pack (in 3 differentiated levels). Coverage of the Summer Block 1 (Multiplication and Division) small steps includes count in 10s, making equal groups, add equal groups, make arrays, making doubles, make equal groups - grouping, and sharing. These resources have been created with the relevant Year 1 objectives in mind.

Count in 2s

Fully Resourced Step →

Count in 5s

Count in 10s, recognise equal groups.

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Making Equal Groups

Add equal groups, make arrays, making doubles, make equal groups – grouping, sharing equally, 1 summer consolidation pack.

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Recognise Equal Groups – Teaching PowerPoint

These lesson slides guide pupils through the prior learning of counting in 2s, 5s and 10s, before moving on to the main skill of recognising equal groups. There are a number of questions to check pupils' understanding throughout.

Recognise Equal Groups – Discussion Problem

This worksheet includes one discussion problem that can be used in pairs or in small groups to enable pupils to further their understanding of the concepts linked to recognising equal groups.

Recognise Equal Groups – Extension

This worksheet includes a range of varied fluency and reasoning and problem solving questions for pupils to further extend and practise the main skill of recognising equal groups.

Recognise Equal Groups – Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of recognising equal groups.

Recognise Equal Groups – Varied Fluency

This worksheet includes a range of varied fluency questions for pupils to practise the main skill of recognising equal groups.

Year 1 Multiplication and Division Consolidation

Multiplication and Division Consolidation Year 1 Summer Block 1 Reasoning and Problem Solving

This Multiplication and Division Consolidation Year 1 resource will help your pupils consolidate their understanding of Summer Block 1: Multiplication and Division. This resource is themed around preparing for a party for the good fairy.

Year 1 Count in 2s Lesson

This Year 1 Count in 2s lesson includes teaching slides, prior learning, worksheets, interactive activities and extensions.

Year 1 Count in 5s Lesson

This Year 1 Count in 5s lesson includes teaching slides, prior learning, worksheets, interactive activities and extensions.

Free Year 1 Count in 10s Lesson Slides

These interactive Year 1 Count in 10s Lesson Slides are designed to support your teaching of this objective.

Free Year 1 Count in 10s Lesson

This Year 1 Count in 10s Lesson includes teaching slides, prior learning, worksheets, interactive activities and extensions.

Count in 10s Year 1 Multiplication Free Resource Pack

Step 1: This Year 1 Count in 10s lesson pack includes a teaching PowerPoint and differentiated varied fluency, and reasoning problem solving questions Summer 1 Block 1 Number: Multiplication and Division.

Free Count in 10s Homework Extension Year 1 Multiplication and Division

Step 1: Free Count in 10s Homework Extension provides additional questions which can be used as homework or an in-class extension for the Year 1 Count in 10s Resource Pack and are differentiated three ways.

Multiplication and Division Year 1 Count in 10s Free Discussion Problems

Step 1: Year 1 Count in 10s Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.

Year 1 Making Equal Groups Lesson Slides

These interactive Year 1 Making Equal Groups Lesson Slides are designed to support your teaching of this objective.

Year 1 Making Equal Groups Lesson

This Year 1 Making Equal Groups Lesson includes teaching slides, prior learning, worksheets, interactive activities and extensions.

Making Equal Groups Year 1 Multiplication and Division Resource Pack

Step 2: This Making Equal Groups Year 1 lesson pack includes a teaching PowerPoint, plus differentiated varied fluency and reasoning problem solving questions.

Making Equal Groups Homework Extension Year 1 Multiplication and Division

Step 2: Making Equal Groups Homework Extension provides additional questions which can be used as homework or an in-class extension for the Year 1 Making Equal Groups Resource Pack and are differentiated three ways.

Multiplication and Division Year 1 Making Equal Groups Discussion Problems

Step 2: Year 1 Making Equal Groups Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.

Year 1 Add Equal Groups Lesson Slides

These interactive Year 1 Add Equal Groups Lesson Slides are designed to support your teaching of this objective.

Year 1 Add Equal Groups Lesson

This Year 1 Add Equal Groups Lesson includes teaching slides, prior learning, worksheets, interactive activities and extensions.

Add Equal Groups Year 1 Multiplication and Division Resource Pack

Step 3: This Add Equal Groups Year 1 Multiplication and Division Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Summer Block 1.

Add Equal Groups Homework Extension Year 1 Multiplication and Division

Step 3: Add Equal Groups Homework Extension provides additional questions which can be used as homework or an in-class extension for the Year 1 Add Equal Groups Resource Pack and are differentiated three ways.

Multiplication and Division Year 1 Add Equal Groups Discussion Problems

Step 3: Year 1 Add Equal Groups Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.

Year 1 Make Arrays Lesson Slides

These interactive Year 1 Make Arrays Lesson Slides are designed to support your teaching of this objective.

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Printable Division Worksheets

Division is a basic skill we use daily! The division worksheets motivate kids of grade 3, grade 4 and grade 5 and help them see the real-life benefits division skills can bring them and help build those skills. Included here are division times tables and charts, various division models, division facts, divisibility rules, timed division drills, worksheets with grid assistance, basic and advanced division, multiplication and division fact family, estimating product and quotient, division word problems and the list goes on.

List of Division Worksheets

Division Tables and Charts

Division Models

Division Facts

Divisibility Rule

Basic Division

Division Drills

Division using Grids

2-digit by 1-digit Division

3-digit by 1-digit Division

3-digit by 2-digit Division

4-digit by 1-digit Division

4-digit by 2-digit Division

Dividing Large Numbers

Division Word Problems

In and Out Boxes for Division

Multiplication and Division Fact Family

Estimating Products and Quotient

Explore Division Worksheets in Detail

Packed in this unit are division tables and charts featuring 1 to 16, 20, 25 and 50 times division tables presented as individual and as 5-in-1, 10-in-1, and 12-in-1 charts. Test skills with follow-up activities.

Learn four important strategies with this bundle of division models worksheets. Find division problems involving equal sharing and grouping, divide using arrays and on the number line model as well.

Emphasizing on each divisor ranging between 1 and 12, the division facts worksheets contain adequate exercises to develop skills. Learn to divide the numbers and complete the division facts.

Divisibility Rules

The divisibility rules worksheets comprise a divisibility rules chart stating the rules for divisors 2-12. Apply rules to test numbers with multiple divisors. Answer Yes/No questions, MCQs and more!

Bolster skills with this collection of 50+ basic division worksheets, comprehend the zero property, identity property, complete division sentences, unit price, repeated subtraction and compare quantities as well.

Timed Division Drills

Incorporate this package of timed division drills worksheets encompassing ample skills in dividing single and double digit numbers with and without a remainder. The number of problems vary per page.

Get acquainted with the concept of division using grids worksheets or graph paper worksheets involving dividends up to 4-digits. Grids provide assistance in solving division exercises with ease.

Utilize the 2-digit by 1-digit division worksheets to find the quotients and remainders, solve division word problems, comprehend the relationship between multiplication and division to mention a few.

The 3-digit by 1-digit division worksheets comprise a variety of standard division problems and division word problems involving remainders and no remainders, divide and check the answers as well.

This collection of 3-digit by 2-digit division worksheets features PDFs to find the quotient and remainder. Solve real-life word problems, multiply to check the answer, complete the process of division too.

Constructively engage students with this bundle of 4-digit by 1-digit division worksheets. Calculate the quotient and remainder, fill missing digits and understand the inverse property of multiplication as well.

Efficiently and accurately solve exclusive 4-digit by 2-digit division exercises offered as a mix of standard and word problems. Reaffirm division skills with this section of printable division worksheets.

Navigate through the dividing large numbers worksheets and find myriad pdfs with division problems involving multi-digit dividends by 1, 2 and 3 digit divisors and calculate the quotient and remainder.

Highlighting the application of the concept of division and brimming with real-life scenarios, this package of worksheets is a must-have for students to perform division with varied place values.

Walk through this assemblage of division worksheets with in and out boxes. Fill the out box using the rule, understand the pattern and write the rule, complete the in or out boxes involving divisors up to 20.

The ready-to-use multiplication and division fact family worksheets help comprehend the relationship between multiplication and division. Identify the members, write the four facts and a lot more.

Estimating Products and Quotients

Find a variety of estimating product and quotient worksheets to round numbers to the nearest tens and hundreds, round the leading digits to estimate the product, compare quotients and more.

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Division word problems- differentiated

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

6 August 2020

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Long Division Problems with Answers

(randomly generated).

Welcome to our Long Division Problems with Answers page.

Here you will find our free worksheet generator for generating your own long division sheets and answers.

If you are looking to create your own custom-made long or short division worksheets then look no further!

We also have several worked examples showing long division on this page so you can see how the method works.

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

Using the random sheet generator will allow you to:

choose the number range and number of questions you wish the worksheet to have;
print or save your worksheet and a corresponding answer sheet;
choose your own title and instructions for completing the sheet - great for homework!

For optimal printing, please set your margins to zero on your print setup options.

To save your worksheets, select Print to PDF in the printing options.

If you have any problems with our Random Generator, please let us know using the Contact Us link at the top of each page.

Mobile View of Worksheets

Please note that our generated worksheets may have problems displaying correctly on some mobile devices.

This should not affect the printing of the sheets which should display correctly.

Long Division Problems with Answers Generator

Here is our random worksheet generator for creating your own long or short division worksheets.

You can generate a range of long division worksheets ranging from 2 digit by 1 digit up to 5 digits by 2 digits.

Using this generator will let you create your own worksheets for:

Dividing 2, 3, 4 and 5 digit numbers by a range of different numbers up to 99;
Dividing numbers with or without a remainder;
Choosing exactly which divisors you want to include;

One of the best features of this generator is that you can choose individual values for the divisors for the worksheets (between 2 and 15).

This means that:

if you were introducing long division for the first time, you could choose just to divide 2 digit numbers by, say, 2, 3 and 5.
if you wanted to introduce dividing by two digits but you wanted to divide 3 digit numbers by 11 and 12, you could do that also.
to access this feature, go to the 'Select divisors from a list' option.

To start creating your sheet, choose an option from the Number values box below.

Parts of a Long Division Equation

The dividend is the number being divided.

The divisor is the number you are dividing by.

The quotient is the number of times the divisor goes into the dividend.

The remainder is what is left over from the dividend when the divisor has been taken away as many times as it can be without leading to a negative answer.

The remainder can be a whole number, but it can also be expressed as a fraction or decimal.

Long Division Problems with Answers Worksheet Generator

4 Steps to Your Worksheets...

Choose your divisor value - this is the number you are dividing by
Choose your dividend value - this is the number you are dividing
Choose if you want to have remainders or not
Choose the number of questions
View your sheet
Print your sheet (if you want to save a hard copy of your sheet, choose 'Save to PDF'.

(Optional) Give your worksheet a title.

(Optional) Write out any instructions to go at the top of the sheet.

Divisor Value:

Remainders:

Dividend value:

Number of Questions:

Your worksheet will appear below.

$worksheet logo$

Examples of Long Division Problems with Answers

Here are some examples showing some long division problems with answers, along with commentary on each step.

Example 1) Work out 84 ÷ 3

So we are working out \[ 3 \enclose {longdiv} {84} \]

FIrst step is to work out 8 ÷ 3, which means we need to find how many groups of 3 make 8.

We can get 2 groups of 3 in 8, and 2 x 3 = 6 so this gives us: \[ \begin {array}{l} \quad 2 \\ 3 \enclose {longdiv} {84} \\ \quad \underline{6} \end{array} \]

Next we subtract 6 from 8 to give us: \[ \begin {array}{l} \quad 2 \\ 3 \enclose {longdiv} {84} \\ \quad \underline{6} \\ \quad 2 \end{array} \]

The next step is to bring down the 4 and put it next to the 2 \[ \begin {array}{l} \quad 2 \\ 3 \enclose {longdiv} {84} \\ \quad \underline{6} \\ \quad 24 \end{array} \]

We now have to work out 24 ÷ 3, or how many groups of 3 make 24.

8 groups of 3 make 24. So this gives us: \[ \begin {array}{l} \quad 28 \\ 3 \enclose {longdiv} {84} \\ \quad \underline{6} \\ \quad 24 \\ \quad \underline{24} \end{array} \]

Finally subtract 24 from 24 to give us an answer of 0. \[ \begin {array}{l} \quad 28 \\ 3 \enclose {longdiv} {84} \\ \quad \underline{6} \\ \quad 24 \\ \quad \underline{24} \\ \quad \; \; 0 \end{array} \]

There are no more digits to bring down and we have no remainders, so we have finished.

Answer: 84 ÷ 3 = 28

Example 2) Work out 347 ÷ 4

So we are working out \[ 4 \enclose {longdiv} {347} \]

FIrst step is to work out 3 ÷ 4, which means we need to find how many groups of 4 make 3.

There are 0 groups of 4 in 3, so we keep the 3 in its place and go on to the next digit which is 4.

This gives us: \[ \begin {array}{l} \quad 0 \\ 4 \enclose {longdiv} {347} \end{array} \]

So the next step is to work out 34 ÷ 4, or find how many groups of 4 make 34.

8 groups of 4 make 32. So this gives us: \[ \begin {array}{l} \quad 08 \\ 4 \enclose {longdiv} {347} \\ \quad \underline {32} \end{array} \]

We subtract 32 from 34 to give us an answer of 2. This gives us: \[ \begin {array}{l} \quad 08 \\ 4 \enclose {longdiv} {347} \\ \quad \underline {32} \\ \quad \; \; 2 \end{array} \]

Next we bring the 7 down alongside the 2. \[ \begin {array}{l} \quad 08 \\ 4 \enclose {longdiv} {347} \\ \quad \underline {32} \\ \quad \; \; 27 \end{array} \]

So we need to work out 27 ÷ 4, or find how many 4s make 27.

6 groups of 4 make 24. So this gives us: \[ \begin {array}{l} \quad 086 \\ 4 \enclose {longdiv} {347} \\ \quad \underline {32} \\ \quad \; \; 27 \\ \quad \; \; \underline {24} \end{array} \]

Finally we need to subtract 24 from 27 to give us 3.

There are no more digits to bring down, so we are left with 3 as a remainder. \[ \begin {array}{l} \quad 086r3 \\ 4 \enclose {longdiv} {347} \\ \quad \underline {32} \\ \quad \; \; 27 \\ \quad \; \; \underline {24} \\ \quad \quad 3 \end{array} \]

Answer: 347 ÷ 4 = 86r3

If we wanted the remainder as a fraction, we would have 347 ÷ 4 = 86 ¾

Example 3) Work out 8165 ÷ 12

So we are working out \[ 12 \enclose {longdiv} {8165} \]

FIrst step is to work out 8 ÷ 12, which means we need to find how many groups of 12 make 8.

There are 0 groups of 12 in 8, so we keep the 8 in its place and go on to the next digit which is 1.

This gives us: \[ \begin {array}{l} \quad \; 0 \\ 12 \enclose {longdiv} {8165} \end{array} \]

So the next step is to work out 81 ÷ 12, or find how many groups of 12 make 81.

6 groups of 12 make 72. So this gives us: \[ \begin {array}{l} \quad \; 06 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \end{array} \]

6 groups of 12 make 72. So this gives us: \[ \begin {array}{l} \quad \; 06 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 9 \end{array} \]

Next we bring the 6 down alongside the 9. \[ \begin {array}{l} \quad \; 06 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \end{array} \]

So we need to work out 96 ÷ 12, or find how many 12s make 96.

8 groups of 12 make 96. So this gives us: \[ \begin {array}{l} \quad \; 068 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \\ \qquad \underline{96} \end{array} \]

Now we subtract 96 from 96 to give us 0. \[ \begin {array}{l} \quad \; 068 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \\ \qquad \underline{96} \\ \qquad \; \: 0 \end{array} \]

Now we bring down the 5. \[ \begin {array}{l} \quad \; 068 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \\ \qquad \underline{96} \\ \qquad \; \: 05 \end{array} \]

Nexy we need to work out 5 ÷ 12, or how many 12s make 5.

0 groups of 12 make 5, so this gives us: \[ \begin {array}{l} \quad \; 0680 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \\ \qquad \underline{96} \\ \qquad \; \: 05 \\ \qquad \; \: \underline {00} \end{array} \]

Subtracting 0 from 5 gives us 5. There are no more digits to bring down, so 5 is the remainder. \[ \begin {array}{l} \quad \; 0680r5 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \\ \qquad \underline{96} \\ \qquad \; \: 05 \\ \qquad \; \: \underline {00} \\ \qquad \quad 5 \end{array} \]

Answer: 8165 ÷ 12 = 680r5

If we wanted the remainder as a fraction, we would have \[ 8165 \div 12 = 680 {5 \over 12} \]

Other Recommended Worksheets & Resources

Here are some of our other related worksheets you might want to look at.

Long Division Support

We have created a calculator to help you master the long division method.

Just type in the dividend and divisor and let the calculator show you how to work out the long division, step-by-step.

The calculator also gives commentary to show you what is happending at each stage.

$Step by step long division calculator image$

Step by Step Long Division Calculator

More Randomly Generated Multiplication and Division Worksheets

As well as our long division problems with answers generator on this page, we also have a a generator for making your own division facts and several multiplication worksheet generators.

Long Division with Money (randomly generated)
Division Facts Worksheet Generator
Single Digit Multiplication Worksheets Generator
Multi Digit Multiplication Generator
Money Multiplication Worksheets Generator

Graded (non-generated) Division Sheets

As well as our randomly generated long division worksheets, we also have a selection of carefully graded division worksheets for each grade.

These sheets are especially useful for introducing the concept and keeping the numbers to divide manageable and simple.

The sheets in the links below are not randomly generated, but have been carefully selected to progress your child through their division learning.

Learning long division starts at a 3rd grade level with learning to divide by a single digit. It then gradually gets more complex for higher grades.

Long Division Worksheets (graded)

Long Division Worksheets 3rd Grade
4th Grade Long Division Worksheets
Long Division Worksheets 5th Grade
Long Division of Decimal Numbers

Mental Division Worksheets

As well as long division worksheets, you also need to know your division facts.

Knowing your division facts will help improve the speed and accuracy of your long division.

We have a wide variety of division fact worksheets for you to choose from.

Division Facts Worksheets

Division facts starts off with understanding the link between multiplication and division.

Once you understand this, you can start learning the division facts related to the multiplication table.

After this, at a 4th and 5th grade level, you can start learning related division facts.

This means that if you know that 12 ÷ 4 = 3 then you can work out 120 ÷ 4 = 30 or that 120 ÷ 40 = 3, etc

Understanding Division Sheets (2nd grade)
Division Facts to 10x10 Worksheets (3rd grade)
Divding by Multiples of 10 and 100 Worksheets (4th grade)
Decimal Division Facts (5th grade)

Multiply and Divide by 10 and 100

Knowing how to multiply and divide numbers by 10 and 100 is a very useful skill.

It is especially useful when converting between metric units or when using percentages.

Multiply and Divide by 10 and 100 (decimals)

Division Math Games

Here you will find a range of Free Division Games.

The following games develop the Math skill of dividing and learning your division facts in a fun and motivating way.

Using these sheets will help your child to:

learn their division facts;
develop their strategic thinking skills.
Math Division Games

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We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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Year 1 KS1 Maths Multiplying and dividing learning resources for adults, children, parents and teachers.
Year 1 Multiplication and Division Explain Your Reasoning ...
A set of different challenge activities for children to use to build up their understanding of Multiplication and Division through problem solving and reasoning. And for more brilliant resources, check out these division worksheets and activities, perfect for your classroom.Or, if you want to support your little one's multiplication learning, then these Year 1 Multiplication Worksheets can ...
Multiplication & division in Year 1 (age 5-6)
Multiplication & division in Year 1 (age 5-6) In Year 1, your child will learn to read, write, and understand mathematical ideas using multiplication (×), division (÷), and equals (=) signs. They will start to use arrays and will use grouping and sharing to divide. The key word for this section is array.
100+ KS1 Division
A wide collection of KS1 division resources for kids. Choose from fun games, cards and more, all perfect for helping teach year 1 and year 2 about division.
Division worksheets
Division worksheets for grade 3 through grade 6. Our free division worksheets start with practicing simple division facts (e.g. 10 ÷2 = 5) and progress to long division with divisors up to 99. Exercises with and without remainders and with missing divisors or dividends are included.
Division Word Problem Worksheets
These printable worksheets involve division word problems with three-digit dividends and single digit divisors. Apply long division method to solve each problem. Three-digit by Two-digit Word Problems. This set of word problems will require the student to perform division operations involving three-digit numbers and two-digit numbers.
Year 1 Maths Division and multiplication problem solving
This resource has sets of questions to support teaching problem solving of multiplication and division.
Multiplication and Division
These activities are part of our Primary collections, which are problems grouped by topic. Multiplication and Division. Age 5 to 7. These lower primary tasks will help you to think about multiplication and division.
Division Problem Solving
The Division Problem Solving Mats are designed for students to solve one problem at a time, while the Division Problem Solving worksheets allow students to solve 2 problems per page. We have included problems that are phrased in a variety of ways, and you have the option to choose problems that will result in a remainder or a whole number based ...
Summer Block 1 (Multiplication and Division)
Differentiated maths resources for Summer Block 1 (Multiplication and Division) in small steps for KS1 children in Year 1. Each small step contains a pack of resources which includes a teaching PowerPoint, a varied fluency worksheet pack (in three differentiated levels) and a reasoning and problem solving worksheet pack (in 3 differentiated levels). Coverage of the Summer Block 1 ...
Division Worksheets
Utilize the 2-digit by 1-digit division worksheets to find the quotients and remainders, solve division word problems, comprehend the relationship between multiplication and division to mention a few.
One-Step Multiplication and Division Problem-Solving Year 1
Find worksheets to support the use of concrete objects, pictorial representations and arrays to solve one-step multiplication and division problems.
Division word problems- differentiated
2 sheets of division word problems to be solved using the bus stop method. First sheet is 2 digit and second is 3 digits. Children cut out a question and stick into their books then answer underneath.
Division Year 1 Worksheets & Teaching Resources
It's a new year 3-digit by 1-digit division mystery picture spreadsheet to help supplement your lessonHow It WorksTo use, your students must solve the problems and put their answers in the boxes.
Division Practice Questions
Next: Multiply and Dividing by 10, 100, 1000 etc Practice Questions. The Corbettmaths Practice Questions on Division.
Long Division Problems with Answers
Here you will find our worksheet generator for our long division problems with answers to help you practice your long division skills
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Division year 1

Year 1 and 2 Multiplication and Division Word Problem Slides - Distance Learning

MATH Timed 1 -Minute FULL- YEAR Daily MULTIPLICATION & DIVISION Drill System

Year 1 and 2 Multiplication and Division Slides - Distance Learning

Factivation.com ONE YEAR TEACHER MEMBERSHIP - Multiplication/ Division

NEW YEAR MULTIPLY DIVIDE BY 1 -DIGIT BUNDLE | 4.NR.2 | 4.NBT.B.5 | 5.NBT.B.6

Color by Code: Multiplication and Division Facts 1 -10 All Year Long Bundle

Pixel Art Math - Happy New Year - Long Division : One -Digit Divisor

NEW YEAR DIVIDE BY 1 -DIGIT MYSTERY BUNDLE | 4.NR.2 | 4.NBT.B.5 | 5.NBT.B.6

Year 2 Term 1 Multiplication and Division Check Up Steps

DIVIDE 4 BY 1 DIGIT | NEW YEAR MYSTERY PICTURE TILES | 4.NBT.B.6

DIVIDE 3 BY 1 DIGIT | NEW YEAR MYSTERY PICTURE TILES | 4.NBT.B.6

DIVIDE 2 BY 1 DIGIT | NEW YEAR MYSTERY PICTURE TILES | 4.NBT.B.6

Year 1 -2 Multiplication and Division PRE-TEST NZC Aligned

Beginning Of The School Year Math Division 2-Digit By 1 -Digit Coloring Activity

New Year : DIVISION 3-Digit by 1 -Digit - Google Forms | Digital Coloring Pages

Multiplication, Division and Fractions Mastery Activities Year 1

New Year : DIVISION 2-Digit by 1 -Digit - Google Forms | Digital Coloring Pages

New Year : One -Step Equations - Multiplication & Division - Google Forms

New Year : Dividing by 10, 100, and 1 ,000 - Google Forms | Digital Coloring Pages

New Year : DIVISION 4-Digit by 1 -Digit - Google Forms | Digital Coloring Pages

Year 3 Multiplication and Division Week 1 - UK

Multiplication & Division One Step Equations | Chinese New Year Mystery Pictures

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