# Long Division with Remainders

When we are given a long division to do it will not always work out to a whole number.

Sometimes there are numbers left over. These are called remainders.

Taking an example similar to that on the Long Division page it becomes more clear:

(If you feel happy with the process on the Long Division page you can skip the first bit.)

 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   Answer: 435 ÷ 25 = 17 R 10

1651, 1652, 1653, 1654, 1655, 1656, 3437, 3438, 3439, 3440