Spacesaver division

Spacesaver division is long division without all the written bits.
With this method you're doing a division sum, but all the thinking is multiplication and subtraction! You can use it when dividing by both one digit and two digit numbers.

Have a look at the sum:
22 972 ÷ 4.

Step 1: 4 into 2 won't go - so carry 2
Step 2: 4 into 22 goes 5 times (5 x 4 = 20) - so carry the remainder 2
Step 3: 4 into 29 goes 7 times (7 x 4 = 28) - so carry the remainder 1
Step 4: 4 into 17 goes 4 times (4 x 4 = 16) - so carry the remainder 1
Step 5: 4 into 12 goes exactly 3 times.

22 972 ÷ 4 = 5 743

This method also works when dividing by 2 digit numbers. Have a look at the sum 40 458 ÷ 11.

Step 1: 11 into 4 won't go - so carry the remainder 4
Step 2: 11 into 40 goes 3 times(3 x 11 = 33) - so carry the remainder 7
Step 3: 11 into 74 goes 6 times (6 x 11 = 66) - so carry the remainder 8
Step 4: 11 into 85 goes 7 times (7 x 11 = 77) - so carry the remainder 8
Step 5: 11 into 88, goes exactly 3 times (8 x 11 = 88)

40 458 ÷ 11 = 3 678

If you need some help with times tables...

Have a look at the times tables module.