Dividing Decimals Examples: 48 Problems with Answers

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Dividing Decimals.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.

Concept Recap

Dividing numbers that contain decimal points, typically by converting the divisor to a whole number (multiplying both divisor and dividend by a power of 10) and then performing long division.

If you want to split $7.20 equally among 3 people, you're dividing a decimal. The trick for harder problems is: if the divisor is $0.4$ , multiply both numbers by 10 to get $72 \div 4 = 18$ . You haven't changed the answer—just made it easier to compute.

Read the full concept explanation →

How to Use These Examples

Read the first worked example with the solution open so the structure is clear.
Try the practice problems before revealing each solution.
Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Dividing decimals multiplies both numbers by the same power of 10 so the divisor becomes a whole number, then does ordinary long division.

Common stuck point: The procedure for dividing decimals is the easy part; the trap is shifting only one number's point. Asking "Is the divisor a decimal I should make whole by shifting both points equally?" first is what keeps a correct-looking calculation from being attached to the wrong concept.

Sense of Study hint: Ask: Is the divisor a decimal I should make whole by shifting both points equally?

Worked Examples

Example 1

easy

Calculate

3.6 \div 4

Answer

0.9

First step

Think:

36 \div 4 = 9

Full solution

2
Since $3.6 = 36 \times 0.1$ , we get $3.6 \div 4 = 0.9$ .
3
Or: $4 \times 0.9 = 3.6$ ✓.

Divide as whole numbers (

36 \div 4 = 9

), then adjust the decimal:

3.6 \div 4 = 0.9

Example 2

medium

Calculate

5.4 \div 0.6

Example 3

medium

A jug holds

2.4

L of juice. Each cup holds

0.3

L. How many cups does the jug fill?

Example 4

hard

Why does

0.4 \div 0.2 = 2

but

0.4 \div 2 = 0.2

? Explain the difference.

Example 5

challenge

Without long division, estimate

7.83 \div 0.39

to one significant figure, then compute exactly.

Practice Problems

\$7.20

equally among

3

people. How much each?

Example 15

medium

Divide:

5 \div 0.25

Example 16

medium

Divide and round to hundredths:

1 \div 3

Example 17

medium

Divide:

12.6 \div 0.6

Example 18

medium

A ribbon

4.5

m long is cut into

0.9

m pieces. How many pieces?

Example 19

medium

Divide:

8.4 \div 0.7

Example 20

challenge

A car travels

148.5

km on

13.5

L. What is its fuel efficiency in km per L?

Example 21

challenge

Divide

2.5 \div 0.04

, then divide that result by

5

. Give the final value.

Example 22

challenge

Find

x

0.3x = 1.5

15.75 \div 0.25

Example 33

medium

A snack pack costs

\$1.20

. How many can you buy with

\$9.60

Example 34

medium

Divide:

4.5 \div 0.15

Example 35

medium

Divide and round to two decimal places:

hours. What is the average speed, in km/h?

Example 42

hard

Solve for

x

0.04 x = 1.6

. Verify by multiplication.

Example 43

challenge

A recipe scales by dividing each ingredient by

0.75

. If the original uses

1.5

cups of flour, how much should the scaled version use?

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Related Concepts

Division Long Division Place Value

Background Knowledge

These ideas may be useful before you work through the harder examples.

divisionlong divisionplace value