Numbers: Getting to grips with division

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# 13 Dividing decimal numbers – an example

Say you want to divide 39.44 by 2.9. After adjusting the decimal points this becomes 394.4 divided by 29. The division, ignoring the decimal point, is shown below.

The final step is to insert the decimal point in the right place in your answer. Click on step 1 below to see how.

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## Activity 8

Click on ‘Reveal discussion’ to see all the individual steps at once.

### Discussion

Figure 35
Figure 36

As an extra check to make sure you have the decimal point in the right place, it is always a good idea to do an estimate of the answer you expect. The division above, in its original form, was roughly 40 divided by 3, which works out at approximately 13. Knowing this you can be confident you have put the decimal point where it should be.

This example of decimal division worked out, with no remainder. If there is a remainder, you simply add extra zeros at the end of the number you are dividing into, just like when dividing with whole numbers. This time of course the decimal point is already in its place, so there is no need to add it.

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