Dividing decimals

The Maths Habit

How many short pieces can you cut from the long ribbon?

4 pieces

Multiply by 10.

0.6 × 106
1.5 × 1015
2.8 × 1028

Divide
Find how many times one number fits into another.
0.30.30.30.3
Divisor
The number you divide by.
2.8 ÷ 0.7
Tenth
One of ten equal parts of 1.

number÷divisor× 10× 10whole÷whole=answer
  1. 1Multiply both by 10.Count in tenths. The jumps stay the same.
  2. 2Divide the whole numbers.This is the answer.

Work out 1.2 ÷ 0.3.

0.30.30.30.301.2
1.2÷0.3
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
12÷3=4

Work out 1.5 ÷ 0.5.

0.50.50.501.5
1.5÷0.5
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
15÷5=3

Work out 1.2 ÷ 0.3.

0.30.30.30.301.2
1.2÷0.3
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
12÷3=4
1number÷divisor× 102whole÷whole=answer

Work out 2.4 ÷ 0.4.

0.40.40.40.40.40.402.4
2.4÷0.4
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
24÷4=6

Work out 1.2 ÷ 0.3.

0.30.30.30.301.2
1.2÷0.3
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
12÷3=4
1number÷divisor× 102whole÷whole=answer

Work out 0.9 ÷ 0.3.

0.30.30.300.9
0.9÷0.3
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
9÷3=3

Work out 1.2 ÷ 0.3.

0.30.30.30.301.2
1.2÷0.3
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
12÷3=4
1number÷divisor× 102whole÷whole=answer

A jug holds 2.5 litres. A glass holds 0.5 litres. How many glasses can the jug fill?

0.50.50.50.50.502.5
2.5÷0.5
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
25÷5=5

1number÷divisor× 102whole÷whole=answer

1Work out 1.6 ÷ 0.4.

0.40.40.40.401.6
1.6÷0.4× 10× 1016÷4=4

2Work out 3.5 ÷ 0.5.

0.50.50.50.50.50.50.503.5
3.5÷0.5× 10× 1035÷5=7

3Work out 2.1 ÷ 0.7.

0.70.70.702.1
2.1÷0.7× 10× 1021÷7=3

4Work out 1.8 ÷ 0.3.

0.30.30.30.30.30.301.8
1.8÷0.3× 10× 1018÷3=6

Multiply by 10.

3 × 1030
0.3 × 103
2 × 1020

Work out 3 ÷ 0.5.

0.50.50.50.50.50.503
3÷0.5
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
30÷5=6

Work out 1 ÷ 0.2.

0.20.20.20.20.201
1÷0.2
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
10÷2=5

Work out 3 ÷ 0.5.

0.50.50.50.50.50.503
3÷0.5
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
30÷5=6
1number÷divisor× 102whole÷whole=answer

Work out 4 ÷ 0.5.

0.50.50.50.50.50.50.50.504
4÷0.5
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
40÷5=8

Work out 3 ÷ 0.5.

0.50.50.50.50.50.503
3÷0.5
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
30÷5=6
1number÷divisor× 102whole÷whole=answer

Work out 3 ÷ 0.3.

0.303
3÷0.3
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
30÷3=10

Work out 3 ÷ 0.5.

0.50.50.50.50.50.503
3÷0.5
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
30÷5=6
1number÷divisor× 102whole÷whole=answer

A bottle holds 2 litres. A cup holds 0.5 litres. How many cups can the bottle fill?

0.50.50.50.502
2÷0.5
1Multiply both by 10.
× 10× 10
2Divide the whole numbers.
20÷5=4

Dividing decimals worksheet, page 1

Dividing decimals worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. 2.4 ÷ 0.6 = 4

    Right

  2. 2.4 ÷ 0.6 = 0.4

    Wrong: multiply both by 10

  3. 3 ÷ 0.5 = 6

    Right

  4. 3 ÷ 0.5 = 1.5

    Wrong: that is half of 3. It is 30 ÷ 5

  5. 1.2 ÷ 0.4 = 3

    Right

  1. Work out 1.2 ÷ 0.03. Hint: multiply both by 10 twice.

    40

  2. Work out 0.45 ÷ 0.5.

    0.9

  3. How many 0.3 m pieces can be cut from 9 m of wood?

    30

  1. Work out 1.8 ÷ 0.6.

    3
    01.81.8÷0.61Multiplyboth by 10.× 10× 102Divide thewhole numbers.18÷6=

  2. Work out 2 ÷ 0.4.

    5
    022÷0.41Multiplyboth by 10.× 10× 102Divide thewhole numbers.÷=

  3. Work out 5.6 ÷ 0.7.

    8
Exit tickets to print