Part 4: Division

# 4.6: Dividing decimals

Notes

To divide two decimal numbers, create an equivalent division problem by multiplying the dividend and the divisor by the same product of 10s so that the divisor becomes a whole number. For example,

• 1.242 ÷ 0.27
• = (1.242 x 100) ÷ (0.27 x 100)    [multiply dividend and divisor by the same product of 10s, 100 in this case]
• = 124.2 ÷ 27
• = 4.6    [use 4.1: Dividing integers to calculate 124.2 ÷ 27]
• This works because we’ve multiplied and divided by the same product of 10s, which creates an equivalent problem with the same answer.

Here are two more examples:

• 91 ÷ 2.6
• = (91 x 10) ÷ (2.6 x 10)    [multiply dividend and divisor by 10]
• = 910 ÷ 26
• = 35
• 159.1 ÷ 0.43
• = (159.1 x 100) ÷ (0.43 x 100)    [multiply dividend and divisor by 100]
• = 15910 ÷ 43
• = 370

The video below works through some examples of dividing decimals.

Practice Exercises

Do the following exercises to practice dividing decimals.

## License

Mathematics For Elementary Teachers Copyright © 2023 by Iain Pardoe is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.