# How to divide a decimal by another decimal.

If you have to divide an amount by a decimal then the trick is to multiply both numbers by 10,100 or 1000 so that you have a new question that doesn’t involve dividing by a decimal. Make sure that both numbers in the question are multiplied by the same number otherwise you will get the wrong answer. Once this is done, you can then use your normal method for division (short or long) to get the correct answer.

**Example**

Work out 3.48 ÷ 0.4

To change 0.4 into a whole number you need to multiply it by 10. Also, don’t forget to multiply 3.46 by 10.

3.48 × 10 = 34.6

0.4 × 10 = 4

So all you need to do now is work out 3.48 ÷ 4 by carrying out short division.

This will give you an answer of 8.7

Don’t do anything else to this number, as this is the correct answer to 3.48 ÷ 0.4

**Example 2**

Work out 17.05 ÷ 0.05

To change 0.05 into a whole number you need to multiply it by 100. Also, don’t forget to multiply 17.05 by 100.

17.05 × 100 = 1705

0.05 × 100 = 5

So all you need to do now is work out 17.05 ÷ 0.05 by carrying out short division.

This will give you an answer of 341

Don’t do anything else to this number, as this is the correct answer to 17.05 ÷ 0.05

**Example 3**

Work out 1.7856 ÷ 0.002

To change 0.002 into a whole number you need to multiply it by 1000. Also, don’t forget to multiply 1.7856 by 1000.

1.7856 × 1000 = 1785.6

0.002 × 1000 = 2

So all you need to do now is work out 1785.6 ÷ 2 by carrying out short division (or halving)

This will give you an answer of 892.8

Don’t do anything else to this number, as this is the correct answer to 1.7856 ÷ 0.002

So that’s all you need to do when dividing by a decimal. Just multiply both numbers by 10, 100 or 1000 (or sometimes more) and carry out the resulting division.

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