In these examples I will use the common 1,2,4,8 method that kids are being taught in school today.  It's probably not how you learned long division, but it makes a lot of sense!

Before embarking on long division it is important that your child fully understand the concept of division.

As well as the concepts, your child must be able to compare numbers, multiply by 2, add and subtract.  That's it!

So let's dive in immediately with a problem that is probably not easy to do mentally!

In this worked example we are going to deal with this problem:

 Divide 137 by 17

First and foremost, what are we being asked here?  We are being asked how many groups of 17 are there in 137.  We could actually simply subtract 17 from 137 until we cannot subtract it any more.

This is correct, but of course not in the least bit efficient.  Remember in math really we are only working with addition and subtraction!  We could go down the road of using guess work.  Multiplying by 10 is easy, so we can say 17 x 10 = 170, but that is too large.  Lets half that, and we have 17 x 5 = 85, this is too low, and now we are finding this method inefficient also.

We need to establish an efficient method, that will work for all Long division problems. And here it is.