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## (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.

### 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'.

Your worksheet will appear below.

### 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

### 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 factsand 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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### Math-Salamanders.com

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