Learn Division: Long & Short Methods

1. long short Division space saver

2. Short division369 ÷ 3 can be written like this: 3 into 6 goes 2 times • 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. The 3 into 3 goes 1 time exactly The 3 into 9 goes 3 times exactly 1 2 3 396 ÷ 3 = 132

3. Short division675 ÷ 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 1 3 5 1 2 675 ÷ 5 = 135

4. Long division part 1598 ÷ 13 can be written like this: Tip: Make a times table to help 13 into 59 goes 4 times 4 -5 2 4 x 13 = 52 7 59 – 52 = 7

5. Long division part 2598 ÷ 13 can be written like this: 13 into 78 goes 6 times 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

6. Tip: Make a times table to help Long divisionpart 13195 ÷ 15 can be written like this: 15 into 31 goes 2 times. 2 2 x 15 = 30. 0 -3 1 31 – 30 = 1

7. Long divisionpart 23195 ÷ 15 can be written like this: 15 into 19 goes 1 times. 2 1 0 Bring down the 9 to make 19 -3 1 9 1 x 15 = 15 -1 5 19 – 15 = 4 4

8. Long divisionpart 33195 ÷ 15 can be written like this: 15 into 45 goes 3 times. 2 1 3 0 -3 1 9 Bring down the 5 to make 45 -1 5 5 4 3 x 15 = 45. -4 5 45 – 45 = 0 3195 ÷ 15 = 213

9. Space saver divisionis 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. 2 1 2 156 ÷ 13 = 12 A times table for 13 would be helpful with this method

10. Space saver division480 ÷ 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. 2 3 3 480 ÷ 15 = 32 A times table for 15 would be helpful with this method

11. Space saver divisionwith larger numbers3645 ÷ 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 2 4 3 6 4 3645 ÷ 15 = 243

12. Space saver divisionwith larger numbers5589 ÷ 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 3 6 9 9 6 5589 ÷ 23 = 243

13. Space saver divisionwith larger numbers5535 ÷ 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 3 6 9 10 13 5535 ÷ 15 = 369

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