Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA154)
LO: To divide decimal numbers by other decimal numbers
Know:
- how to divide numbers
Understand:
- that dividing decimal numbers is similar to dividing regular numbers
Do:
- I can divide decimal numbers by other decimal numbers
When dividing decimal numbers by other decimal numbers, before you just divide, you need to shift the decimal so that it creates a whole number to divide by.

In this case before you can divide by 0.08, you have to shift the decimal place 2 spots over, which means you need to shift the decimal 2 spots in the dividend, so that it becomes 722.4 / 8. After you shift the decimal places, then just proceed as normal to divide.
Remember to always double check for the reasonableness of answers!!!
In the example above, if I rounded 722.4 to 720. I know that 720 / 8 = 90, so my answer should be somewhere around 90.