1. Methods of Division Heatherside Junior School

2. ÷ DIVISION ÷ share share equally equal groups of divide divided by divided into divisible by remainder factor quotient inverse

3. Step 1 – Sharing and grouping 16 shared between 2. 16 ÷ 2 = 8 How many equal groups of 8 can you make? 16 ÷ 8 = 2

4. 9 63 9 54 63-9 45 54-9 9 36 45-9 9 27 36-9 9 18 27-9 9 9 9 18-99-9 0 How many 9’s have been subtracted? 63 ÷ 9 = 7 ÷ 9 = Step 2 – Grouping by repeated subtraction using a number line

5. Step 3 – Partitioning by using known facts 24 ÷ 2 = 24 20 4 20 ÷ 2 = 10 4 ÷ 2 = + 2 12 How many 2s in 24? 24 ÷ 2 = 12 More able children will use this method to show remainders.

6. Step 4 – Short Division of TU ÷ U 81 ÷ 3 = Partition using known facts. 81 60 21 20 + 7 = 27 3 60 + 21 This can then be shortened to show adjusting. 27 3 8²1 We aim for most children to begin to use this method by the end of Year 4.

7. Step 5 – Repeated subtraction 78 ÷ 6 = We can do this by repeated subtraction… 13 6 78 - 60 ( 10 x 6) 18 - 18 ( 3 x 6) 0 How many 6s have been subtracted? 78 ÷ 6 = 13

8. This method can be extended to reduce the number of steps, include remainders and use HTU ÷ U. 134 ÷ 5 = 26 r 4 5 134 - 100 (20 x 5) 34 - 30 ( 6 x 5) 4 How many 5s have been subtracted? 134 ÷ 5 = 26 r 4

9. Step 6 – Short division of HTU ÷ U 291 ÷ 3 = Partition using known facts. 291 270 21 90 + 7 = 97 3 270 + 21 This can then be shortened to show adjusting. 97 3 29²1 We aim for most children to begin to use this method by the end of Year 5.

10. Step 7 – Long Division of HTU ÷ TU using repeated subtraction 560 ÷ 24 = 23r 8 24 560 - 480 (20 x 24) 80 - 72 ( 3 x 24) 8 How many 24s have been subtracted? 560 ÷ 24 = 23 r 8