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Long Division with Decimals
Up to 3dp
Welcome to our Long Division with Decimals Worksheets page.
Here you will find our selection of long division worksheets with decimals up to 3 decimal places (3dp).
There are also some worked examples to show you how it all works.
Long Division with Decimals up to 3 decimal places
On this page we walk you through how to divide a decimal with up to 3 decimal places by a whole number.
There are several worked examples which explain how it works step-by-step.
The long division worksheets involve solving problems involving decimals to 1dp, 2dp and 3dp.
Long division is also a great way to convert fractions into decimals if you do not have a calculator.
The sheets are graded so that the division problems start off easier, then get gradually harder.
Using these decimal division worksheets will help your child to:
- use long division with decimal numbers to 1dp, 2dp and 3dp;
Long Division with Decimals - How it works
The important thing to remember about using Long division with decimal numbers, is that the actual method is not really any different than just normal long division.
The main thing to remember is that the decimal point has to be lined up.
How to Divide decimal numbers
Step 1) Write out the long division in standard form
Step 2) Start the long division problem exactly as if it were a non-decimal problems.
Step 3) Put the decimal point into the quotient (answer line) exactly above where it is in the dividend.
Step 4) Bring the next digit down.
Step 5) Continue until there is no remainder, or until you get repeated digits.
Let's look at some examples...
Division of Decimal Numbers - Examples
Example 1) Work out 37.6 ÷ 4.
Step 1) Write out the long division in standard form.
Step 2) We start the long division problem exactly as if it were a non-decimal problems.
Step 3) Put the decimal point into the quotient (answer line) exactly above where it is in the dividend.
Step 4) Bring the next digit down.
Step 5) Continue until there is no remainder, or until you get repeated digits.
This gives us a final answer of 9.4
Example 2) Work out 44.73 ÷ 7.
Step 1) Write out in standard form.
Step 2) Start the long division problem exactly as if it were a non-decimal problems.
Step 3) Put the decimal point into the quotient (answer line) exactly above where it is in the dividend.
Step 4) Bring the next digit down.
Step 5) Continue until there is no remainder, or until you get repeated digits.
This gives us a final answer of 6.39
Example 3) Work out 61 ÷ 8.
Step 1) Write out in standard form. For this division problem, we are going to need 3 decimal places.
If you don't know the number of decimal places you need, then you can add them as you go!
Step 2) Start the long division problem exactly as if it were a non-decimal problems.
Step 3) Put the decimal point into the quotient (answer line) exactly above where it is in the dividend.
Step 4) Bring the next digit down.
Step 5) Continue until there is no remainder, or until you get repeated digits.
This gives us a final answer of 7.625
Example 4) Use long division to find the decimal equivalent for the fraction 7/20
Step 1) Write out the fraction as a division expression.
7/20 = 7 ÷ 20
For this division problem, we are going to allow 3 decimal places though we may not need them all.
Next we write the division out in standard form, remembering to put the divisor - which is 20 - on the left.
Step 2) Start the long division problem exactly as if it were a non-decimal problems.
Step 3) Put the decimal point into the quotient (answer line) exactly above where it is in the dividend. Bring the next digit down.
Step 4) Divide the number we have just made by 20 and then write the remainder underneath.
Step 5) Bring the next digit down and put it beside the remainder.
Step 6) Divide this new number by 20 and find the remainder.
As the remainder is now zero, we have finished.
This gives us a final answer of 7/20 = 0.35
Division of Decimal Numbers Worksheets
We have split the sheets into several sections:
- Long division with 1 decimal place
- Long division with 2 decimal places
- Long division with 3decimal places
- Mixed long division questions with up to 3 decimal places
Long Division with 1dp Worksheets
Long Division with 2dp Worksheets
Long Division with 3dp Worksheets
Mixed Long Division with up to 3dp Worksheets
Long Division with Decimals Walkthrough Video
This short video walkthrough shows several problems from our Mixed Decimal Division up to 3dp Worksheet 1 being solved and has been produced by the West Explains Best math channel.
If you would like some support in solving the problems on these sheets, please check out the video below!
Looking for some more division of decimal numbers sheets?
If you are looking for decimal division facts linked to the multiplication table, then we also have some worksheets for you.
These sheets are all about using the multiplication table to work our decimal division facts like 1.2 ÷ 4, or 7.2 ÷ 9.
Looking for some easier division sheets?
We also have some 4th Grade Division related facts worksheets.
This page focuses on working out division facts related to the multiplication table.
We also have long division worksheets both with and without remainders.
More Recommended Math Worksheets
Take a look at some more of our worksheets similar to these.
More Fifth Grade Division Worksheets
Here you will find a range of Free Printable 5th Grade Division Worksheets.
The following worksheets involve using the 5th Grade Math skills of dividing, and solving division problems.
Using these sheets will help your child learn to:
- divide any whole number up to 10000 by a two digit number;
- express any division with a remainder in the form of a mixed number (a number with a fraction part).
PEMDAS Worksheets
The sheets in this section involve using parentheses and exponents in simple calculations.
There are also lots of worksheets designed to practice and learn about PEMDAS.
Using these worksheets will help your child to:
- know and understand how parentheses works;
- understand how exponents work in simple calculations.
- understand and use PEMDAS to solve a range of problems.
Math Division Games
Here you will find a range of Free Printable Division Games to help kids learn their division facts.
Using these games will help your child to learn their division facts, and also to develop their memory and strategic thinking skills.
How to Print or Save these sheets 🖶
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How to Print or Save these sheets 🖶
Need help with printing or saving?
Follow these 3 steps to get your worksheets printed perfectly!
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