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**long short Division space saver**

October Kindly contributed to the Adult Basic Skills Resource Centre by Gaye Noel Park Lane College, Leeds. Thank you Gaye. Main curriculum links N1/L1.3 Add, subtract, multiply and divide using efficient written methods. N1/L2.2 Carry out calculations with numbers of any size using efficient methods.

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**Short division 369 ÷ 3 can be written like this:**

Divide 3 into 369, one digit at a time Start with the digit 3. Put the result of each answer on top of the line. 3 into 6 goes 2 times The 3 into 3 goes 1 time exactly The 3 into 9 goes 3 times exactly 3 6 9 1 2 3 396 ÷ 3 = 132

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**Short division 675 ÷ 5 can be written like this:**

5 into 17 goes 3 times with 2 left over to carry Divide 5 into 675, one digit at a time Start with the digit 6. Put the result of each answer on top of the line. The 5 into 6 goes 1 time with 1 left over to carry The 5 into 25 goes 5 times exactly 5 6 7 1 3 5 1 2 675 ÷ 5 = 135

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**Long division part 1 598 ÷ 13 can be written like this:**

Tip: Make a times table to help 1 x 13 = 2 26 3 39 4 52 5 65 6 78 7 91 8 104 9 117 13 into 59 goes 4 times 1 3 5 9 8 4 -5 2 4 x 13 = 52 7 59 – 52 = 7

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**Long division part 2 598 ÷ 13 can be written like this:**

x 13 = 2 26 3 39 4 52 5 65 6 78 7 91 8 104 9 117 13 into 78 goes 6 times 1 3 5 9 8 4 6 -5 2 Bring down the 8 to make 78 7 8 6 x 13 = 78 -7 8 78 – 78 = 0 598 ÷ 13 = 46

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**Long division part 1 3195 ÷ 15 can be written like this:**

Tip: Make a times table to help 15 into 31 goes 2 times. 1 x 15 = 2 30 3 45 4 60 5 75 6 90 7 105 8 120 9 135 1 5 3 9 2 2 x 15 = 30. -3 1 31 – 30 = 1

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**Long division part 2 3195 ÷ 15 can be written like this:**

15 into 19 goes 1 times. 1 x 15 = 2 30 3 45 4 60 5 75 6 90 7 105 8 120 9 135 1 5 3 9 2 1 -3 Bring down the 9 to make 19 1 9 1 x 15 = 15 -1 5 19 – 15 = 4 4

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**Long division part 3 3195 ÷ 15 can be written like this:**

15 into 45 goes 3 times. 1 x 15 = 2 30 3 45 4 60 5 75 6 90 7 105 8 120 9 135 1 5 3 9 2 1 3 -3 1 9 Bring down the 5 to make 45 -1 5 4 5 3 x 15 = 45. -4 5 45 – 45 = 0 3195 ÷ 15 = 213

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**Space saver division is like short division but with larger numbers**

Space saver division is like short division but with larger numbers. 156 ÷ 13 can be written like this: 13 into 26 goes 2 times exactly 13 into 15 goes 1 time and 2 left over to carry Divide 13 into 156. Start with the digit 1, but this is not enough. Then say, 13 into 15 and continue. Put the result of each answer on top of the line. 1 3 5 6 1 2 2 156 ÷ 13 = 12 A times table for 13 would be helpful with this method

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**Space saver division 480 ÷ 15 can be written like this:**

15 into 30 goes 2 times exactly 15 into 48 goes 3 time and 3 left over to carry Divide 15 into 480. Start with the digit 4, but this is not enough. Then say, 15 into 48 and continue. Put the result of each answer on top of the line. 1 5 4 8 3 2 3 480 ÷ 15 = 32 A times table for 15 would be helpful with this method

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**Space saver division with larger numbers 3645 ÷ 15 can be written like this:**

15 into 64 goes 4 time and 4 left over to carry A times table for 15 would be helpful with this method 15 into 36 goes 2 time and 6 left over to carry 15 into 45 goes 3 times exactly 1 x 15 = 2 30 3 45 4 60 5 75 6 90 7 105 8 120 9 135 1 5 3 6 4 2 4 3 6 4 3645 ÷ 15 = 243

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**Space saver division with larger numbers 5589 ÷ 23 can be written like this:**

23 into 98 goes 4 times and 6 left over to carry A times table for 15 would be helpful with this method 23 into 55 goes 2 time and 9 left over to carry 23 into 69 goes 3 times exactly 1 x 23 = 2 46 3 69 4 92 5 115 6 138 7 161 8 184 9 207 2 3 5 8 9 3 6 9 9 6 5589 ÷ 23 = 243

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**Space saver division with larger numbers 5535 ÷ 15 can be written like this:**

15 into 103 goes 6 times and 13 left over to carry A times table for 15 would be helpful with this method 15 into 55 goes 3 time and 10 left over to carry 15 into 135 goes 9 times exactly 1 x 15 = 2 30 3 45 4 60 5 75 6 90 7 105 8 120 9 135 1 5 3 3 6 9 10 13 5535 ÷ 15 = 369

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**Now try the exercises using both long division and space saver methods for the larger numbers**

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