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.

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.

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.

Long Division Problems with Answers Worksheet Generator

4 Steps to Your Worksheets...

1. Choose your divisor value - this is the number you are dividing by
2. Choose your dividend value - this is the number you are dividing
3. Choose if you want to have remainders or not
4. Choose the number of questions
5. View your sheet
6. 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:

2
3
4
5
6
7
8
9
10
11
12
13
14
15

Dividend value:

Number of Questions:

Missing Multiplier

Your worksheet will appear below.

Examples of Long Division Problems with Answers

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 $8165 \div 12 = 680 {5 \over 12}$