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Space saver short long Division. Short division 369 ÷ 3 can be written like this:  Divide 3 into 369, one digit at a time  Start with the digit 3. 

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Presentation on theme: "Space saver short long Division. Short division 369 ÷ 3 can be written like this:  Divide 3 into 369, one digit at a time  Start with the digit 3. "— Presentation transcript:

1 space saver short long Division

2 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 = 132 The 3 into 3 goes 1 time exactly The 3 into 9 goes 3 times exactly 3 into 6 goes 2 times 1 23

3 Short division 675 ÷ 5 can be written like this:  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 ÷ 5 = 135 The 5 into 6 goes 1 time with 1 left over to carry The 5 into 25 goes 5 times exactly 5 into 17 goes 3 times with 2 left over to carry

4 Long division part ÷ 13 can be written like this: into 59 goes 4 times x13= 2x =26 3x13=39 4x13=52 5x13=65 6x13=78 7x13=91 8x13=104 9x13=117 Tip: Make a times table to help 4 x 13 = – 52 = 7

5 Long division part ÷ 13 can be written like this: into 78 goes 6 times Bring down the 8 to make x13= 2x =26 3x13=39 4x13=52 5x13=65 6x13=78 7x13=91 8x13=104 9x13=117 6 x 13 = – 78 = ÷ 13 =46

6 Long division part ÷ 15 can be written like this: into 31 goes 2 times x15= 2x =30 3x15=45 4x15=60 5x15=75 6x15=90 7x15=105 8x15=120 9x15=135 Tip: Make a times table to help 2 2 x 15 = – 30 = 1

7 Long division part ÷ 15 can be written like this: into 19 goes 1 times Bring down the 9 to make x15= 2x =30 3x15=45 4x15=60 5x15=75 6x15=90 7x15=105 8x15=120 9x15= x 15 = – 15 = 4 4

8 Long division part ÷ 15 can be written like this: into 45 goes 3 times ÷ 15 = Bring down the 5 to make x15= 2x =30 3x15=45 4x15=60 5x15=75 6x15=90 7x15=105 8x15=120 9x15= x 15 = – 45 =

9 Space saver division is like short division but with larger numbers. 156 ÷ 13 can be written like this:  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 ÷ 13 = into 15 goes 1 time and 2 left over to carry 13 into 26 goes 2 times exactly A times table for 13 would be helpful with this method

10 Space saver division 480 ÷ 15 can be written like this:  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 ÷ 15 = into 48 goes 3 time and 3 left over to carry 15 into 30 goes 2 times exactly A times table for 15 would be helpful with this method

11 Space saver division with larger numbers 3645 ÷ 15 can be written like this: ÷ 15 = into 36 goes 2 time and 6 left over to carry 15 into 45 goes 3 times exactly A times table for 15 would be helpful with this method into 64 goes 4 time and 4 left over to carry 1x15= 2x =30 3x15=45 4x15=60 5x15=75 6x15=90 7x15=105 8x15=120 9x15=135

12 Space saver division with larger numbers 5589 ÷ 23 can be written like this: ÷ 23 = into 55 goes 2 time and 9 left over to carry 23 into 69 goes 3 times exactly 36 9 A times table for 15 would be helpful with this method into 98 goes 4 times and 6 left over to carry 1x23= 2x =46 3x23=69 4x23=92 5x23=115 6x23=138 7x23=161 8x23=184 9x23=207

13 Space saver division with larger numbers 5535 ÷ 15 can be written like this: ÷ 15 = into 55 goes 3 time and 10 left over to carry 15 into 135 goes 9 times exactly A times table for 15 would be helpful with this method into 103 goes 6 times and 13 left over to carry 1x15= 2x =30 3x15=45 4x15=60 5x15=75 6x15=90 7x15=105 8x15=120 9x15=135

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


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