When we are given a long division to do it will not always work out to a whole number.
Sometimes there will be numbers left over. These are known as remainders.
e.g: 435 ÷ 25
When we are given a long division to do it will not always work out to a whole number.
Sometimes there will be numbers left over. These are known as remainders.
e.g: 435 ÷ 25
 | 4 ÷ 25 = 0 remainder 4 | The first number of the dividend is divided by the divisor. |
The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 0 = 0 The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into. 
4 – 0 = 4 Now we take away the bottom number from the top number. 
Bring down the next number of the dividend.
43 ÷ 25 = 1 remainder 18 Divide this number by the divisor. 
The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 1 = 25 The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into. 
43 – 25 = 18 Now we take away the bottom number from the top number. 
Bring down the next number of the dividend.
185 ÷ 25 = 7 remainder 10 Divide this number by the divisor. 
The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 7 = 175 The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into. 
185 – 175 = 10 Now we take away the bottom number from the top number. There is still 10 left over but no more numbers to bring down.
With a long division with remainders the answer is expressed as 17 remainder 10
as shown in the diagram
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