To divide a decimal by an integer, you perform the division as you would with whole numbers, but you keep the decimal point in the quotient (answer) directly above its position in the dividend (number being divided).
According to the provided reference, one way to visualize this is using a part-whole model or a place value chart.
For instance, if you are dividing 4.8 by 4, you can think of 4.8 as being split into 4 equal groups. As indicated in the reference example, 4.8 divided by 4 equals 1.2. This can be shown using place value counters.
Here's a step-by-step breakdown:
- Set up the division: Write the problem as a long division problem, with the decimal inside the division symbol and the integer outside.
- Divide as with whole numbers: Perform the division ignoring the decimal point at first.
- Place the decimal point: Once you've completed the division, place the decimal point in the quotient directly above the decimal point in the dividend.
Example:
Divide 6.24 by 3:
2.08
_______
3 | 6.24
- 6
_______
02
- 0
_______
24
-24
_______
0
Therefore, 6.24 divided by 3 is 2.08.