
	[Teaching Ideas]

Maths - Learn long division as repeated subtraction.

Many children find the traditional division method far to complex to learn. Below are two different ways for you to help your children understand division. The first method uses repeated subtraction and the second is a grid method.

Question: 765÷12

12x10=120
765-120=645
12x10-120
  645-120=525
12x10=120
  525-120=405
12x10=120
  305-120=285
12x10-120
  185-120=165
12x10=120
165-120=45

You now know that 12x60=720

765-720=45

How many 12’s in 45?

12x3=36 remainder 9

60+3=36 remainder 9

Answer: 765÷12=63 r9

Grid method for division which can be used if you know you tables well.

Question: 765÷12

Start by partitioning 765 as in the grid below:

÷

700

60

5

12

First box needs 700÷12, this is quite had to work out so lets make it easier:

÷

720

40

5

12

60

720÷12=60 (because 72÷12=6)

The second box needs 40÷12=3 remainder 4:

÷

720

40

5

12

60

3

The remainder(4) is added to the last box - see grid below:

÷

720

40

5 9

12

60

3

0 r9

Now all you need to do is add.

60+3+0=63 r9

Answer: 765÷12=63 r9

Some more division sums, lots of variety.