Written methods of Division
Children sometimes struggle with the concept of division. I begin by relating it to sharing, mainly food, pizzas or chocolate cake, with their friends and draw lots of pictures to help them visualise what is happening.
How many pieces will you have to cut the cake into to get an equal share?
Four friends plus you means that you have to cut the cake into 5 or divide it by 5.
If the cake was cut into 10 equal pieces, how may pieces would each person get?
10 ÷ 5 = 2.
If the cake was cut into 11 pieces, how many pieces would each person get and what be left over or remaining? 10 ÷ 5 = 2 remainder 1.
But what does the remainder mean? To share the cake properly, you would have to share the remaining piece as well  which is 1 ÷ 5 or 1/5  a fifth. So each child would get 2 whole pieces and one fifth of a piece  2 1/5 slices.
Timestables are again very important here, as is the idea of "inverse" or opposite. If you multiply an amount by a certain number, say 5 x 3 = 15, and then divide the answer by the same number, 15 ÷ 3, you get 5, back where you started.
So a secure knowledge of timestables is essential to be able to divide. Take 30 ÷ 6 as an example. By recalling the 6 times table, you know that 5 x 6 = 30, so your answer is 5.
Remember  to divide a number by 10, move the digits 1 place to the right.
Remember "Times and Divide" are Opposites (Inverse).
Try these worksheets on division facts from Mathsblog to practice.
Know Division Facts 1 and Know Division Facts 2
Division can also be thought of as repeated subtraction. 20 ÷ 5 is the same as
20  5 =15 15  5 = 10 10 5 =5 5  5 = 0
5 was subtracted 4 times  so 20 ÷ 5 = 4, with nothing remaining. 20 ÷ 5 = 4
22 ÷ 5 is ... 22  5 = 17 17  5 = 12 12  5 = 7 7  5 = 2
5 was subtracted 4 times  so 20 ÷ 5 = 4, this time with 2 remaining.
22 ÷ 5 = 4 r 2 (remainder 2 means 2/5) so 22 ÷ 5 = 4 2/5.
Before moving on to written methods of division check out the Division Tips and Tricks page.
