Long division - divide decimals by 2 digit number

Long division by 2 digit numbers

When we divide by 2 digit numbers, working out an estimate first helps us get an idea of what to expect as our answer. When our total, or the amount we have to share, is a decimal, our estimate is even more important, so that we know our digits are in the correct places.

 

Working out an estimate

There are different ways to work out an estimate, and in Video 1 we will look at how we can use a range, rather than a specific number.

 

The long division part

The name says it all really, doesn't it? It's not tricky, it's just longer this way. Long division helps to understand what you are actually doing when you are dividing, which is really useful with decimals. 

Video 2 works through the problem from our first video, and then checks the answer back to the estimate.

 

Dividing larger numbers

If we have numbers in the tens or hundreds, and need to divide by $2$2 digit numbers, we can follow the same process as we did above. Let's work through an example in Video 3, and see how we can estimate our answer, using:

• the super powers of the number 10
• thinking out loud, to consider which of the ranges of answers are just, well, not even in the ball park!

 

Using 0 as a placeholder

When we solve the long division in our next video, it looks a little similar to the earlier video. Beware though! There's a bit of a trap that is easy to fall into. The importance of including a $0$0 as a placeholder is the key here. Once you remember to think about the place value of the digits, you can make sure you don't fall down into the trap.

 

Worked examples

Question 1

QUESTION 2

QUESTION 3