Dividing by a decimal can look difficult, but actually there's only one simple step we need to do before we can divide by a decimal number. The following video will explain and show a couple of examples:

**Ways to show division**

The division symbol (÷) is not the only way to show division. As you learned earlier in the mini-lesson about how to use Excel as a calculator, division can be symbolized with a slash (/) too. You may see this on some calculators as well. We will often use the / symbol within this course to represent division.

Remember, to divide by a decimal, multiply both numbers by the power of 10 that will make the divisor (the number we’re dividing by—for example, in \(5 \div 2.5\), the divisor is \(2.5\)) an integer. Then the division process is exactly the same as when all the numbers were integers.

### Examples:

\(5 \div 2.5 =\text{?}\)

- We multiply both numbers by \(10\) to make it \(50 \div 25\)

\(88.2365 \div 3.69\)

- We multiply both numbers by \(100\), moving the decimal of the divisor over two spaces so it is an integer.
- This makes the question \(8823.65 \div 369\).
- We just need the divisor to no longer have a decimal. The dividend can still have a decimal.

## Additional Resources

- Khan Academy: Dividing Decimals (06:43 mins, Transcript)

### Practice Problems

**Evaluate the following expression:**

- \(54 \div 1.2 = \text{?}\) (Solution
- \(69 \div 2.4 = \text{?}\) (Solution
- \(8.4 \div 6.5 = \text{?}\) (Round your answer to the nearest hundredth.) (Video Solution
- \(24.7 \div 3.9 =\text{?}\) (Round your answer to the nearest hundredth.) (Video Solution
- \(62.5 \div 1.75 =\text{?}\) (Round your answer to the nearest hundredth.) (Solution
- \(25 \div 4.35 = \text{?}\) (Round your answer to the nearest hundredth.) (Solution

## Need More Help?

- Study other Math Lessons in the Resource Center.
- Visit the Online Tutoring Resources in the Resource Center.
- Contact your Instructor.
- If you still need help, Schedule a Tutor.