FRACTIONS, DECIMALS AND PERCENTAGES

Dividing Decimals

Learn the reliable method for dividing decimals, then apply it to 11+ exam-style questions.

1 · WHAT YOU NEED TO KNOW

The idea

Decimal division uses place value to turn the calculation into an equivalent, simpler division.

Picture itSee each decimal digit hold its place
Stationery and UK money arranged as a real-life shopping problem
2 · THE METHOD

Follow these steps

  1. If the divisor is decimal, scale both numbers by the same power of ten.
  2. Complete the division.
  3. Check by multiplying the quotient by the divisor.
3 · WORKED EXAMPLES

See the method in action

Example 1

Calculate 6.06 ÷ 3.

  1. 6.06 shared into 3 equal groups gives 2.02.
Answer: 2.02
Example 2

2 identical items cost £2.72. What is the price of one item?

  1. Unit price = total cost ÷ number of items = £1.36.
Answer: £1.36
4 · ELEVENSPRINT TIP

A useful shortcut

Check by multiplying the quotient by the divisor.

5 · COMMON MISTAKES

Watch out for these

6 · TRY IT YOURSELF

Three fresh questions

Ready to check the method? You will get three fresh, validated questions.