Dividing Decimals using Long Division

There are six sets of divide decimals worksheets.
Divide Decimals by 10, 100, 1000
Divide Decimals by Powers of 10 (eg. 74.2 ÷ 10³)
Divide Whole Numbers to give Decimal Quotients
Divide Decimals by Whole Numbers (without rounding)
Divide Decimals by Whole Numbers (with rounding)
Divide Decimals by Decimals (with & without rounding)

Examples, solutions, videos, and worksheets to help Grade 5 students learn how to divide decimals by decimals (with or without rounding). Include dividing decimals word problems.

How to divide a decimal by a decimal?

Step 1: Align the decimals.
Write the dividend (the number being divided) and the divisor (the number doing the division) as if they were whole numbers.
Align the decimal points vertically.
Step 2: Move the decimal.
If the divisor is not a whole number, move the decimal point to the right until it becomes a whole number.
Move the decimal point in the dividend the same number of places to the right as you moved the decimal point in the divisor.
Step 3: Divide as usual.
Divide the adjusted dividend by the adjusted divisor as you would with whole numbers.
Perform the division operation and write down the quotient.
Step 4: Place the decimal point.
Count the total number of decimal places in both the dividend and the divisor (including the ones you moved).
Place the decimal point in the quotient above the line, directly above the decimal point in the dividend.
The number of decimal places in the quotient should match the difference between the total decimal places in the dividend and divisor.
Step 5: Simplify the result (if needed).
You may round the decimal to a desired number of decimal places.

Example:

 

Have a look at this video if you need to review how to divide decimals by decimals.

• Dividing Decimals

Have a look at this video if you need to review how to round the quotients.

• Rounding Quotients to the Nearest Hundredths

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Divide Decimals by Decimals Worksheets.

There are four sets of divide decimals by decimals worksheets:

• Divide decimals by decimals without rounding
• Divide decimals by decimals (round to nearest tenths)
• Divide decimals by decimals (round to nearest hundredths)
• Divide decimals by decimals (round to nearest thousandths)

 

More Divide Decimals using Long Division Worksheets

Printable
(Answers on the second page.)
Divide Decimals using Long Division Worksheet #1 (no rounding)
Divide Decimals using Long Division Worksheet #2 (round to nearest tenths)
Divide Decimals using Long Division Worksheet #3 (round to nearest hundredths)
Divide Decimals using Long Division Worksheet #4 (round to nearest thousandths)

Online & Generated
Divide Decimals by 10, 100, 1,000
Divide Decimals by Powers of 10 (Exponent Form)
Divide Decimals by Multiples of 10

Divide Decimals by Decimals

Divide Decimals by Whole Numbers Word Problems

1. John ran a total of 6.4 kilometers in a race. How many laps did he run around a 0.8-kilometer track?
   • Show Answer

     8

2. Sarah baked a cake that weighs 1.4 kilograms. If each serving is 0.15 kilograms, how many servings can she get from the cake? Round your answer to the nearest whole number.
   • Show Answer

     9

3. A rectangular swimming pool is 9.3 meters long, and its area is 24.18 square meters. What is the width of the swimming pool?
   • Show Answer

     2.6 meters

Related Lessons & Worksheets

Dividing Decimals Lesson

More Printable Worksheets

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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