**Remainder**

Sometimes when you divide you have an amount left over. This is called the remainder, r = remainder.

For example: 23 ÷ 4 = 5 r 3

If you used a calculator to work out the answer you’d get the number 5.75. The 0.75 on the calculator represents remainder 3. This is because the calculator has shown the remainder as a decimal.

Different words can describe division. For example, 35 ÷ 5 = 7 can also be described as:

If you split 35 into 7 parts each part will contain 5.

35 shared between 5 = 7.

There are 7 groups of 5 in 35.

**Checking your calculations**

Multiplication and division are linked. They are the opposite action of each other:

10 × 5 = 50, 50 ÷ 5 = 10 or 50 ÷ 10 = 5

When you carry out a division you can check your answer by using multiplication.

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