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Methods of Division Heatherside Junior School

Methods of Division Heatherside Junior School. share share equally equal groups of divide divided by divided into divisible by. remainder factor quotient inverse. ÷ DIVISION ÷. Step 1 – Sharing and grouping 16 shared between 2. 16 ÷ 2 = 8

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Methods of Division Heatherside Junior School

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  1. Methods of DivisionHeatherside Junior School

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

  3. Step 1 – Sharing and grouping16 shared between 2. 16 ÷ 2 = 8 How many equal groups of 8 can you make?16 ÷ 8 = 2

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

  5. 24 ÷ 2 = 24 204 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. Step 3 – Partitioning by using known facts

  6. 81 ÷ 3 = Partition using known facts. 81 6021 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. Step 4 – Short Division of TU ÷ U

  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. 291 ÷ 3 = Partition using known facts. 291 27021 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. Step 6 – Short division of HTU ÷ U

  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

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