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How to Divide Decimals without needing a Calculator

Get the free Dividing Decimals worksheet and other resources for teaching & understanding how to Divide Decimals

The Easy Method for Dividing Decimals

Dividing Decimals is the process of dividing two numbers that are decimals with each other. When Dividing Decimals together you must move the decimal in the divisor to the right so that it becomes a whole number. Next, you move the decimal in the dividend the same amount of times that you moved the decimal in the divisor. Divide the numbers normally as if they were not decimals to start with. The last step for finding How to Divide with Decimals is to place the decimal point in your answer. In order to do this you must move the decimal straight up from your dividend into your answer.

Common Core Standard: 6.NS.3

Here’s how to complete Decimal Division Example problems

Division with Decimals is the way to divide two numbers decimals with one another. When Dividing Decimals together you should move the decimal in the divisor to all the way to the right because it needs to be a whole number. Next, you move the decimal in the dividend by the same amount that you moved the decimal in the divisor. Divide the numbers regularly as though they were not decimals to begin with. Finally to discover how do you divide decimals you must put the decimal point in your answer. Locate the decimal in the dividend and move it directly up into your answer.

4 Steps to Easily Divide Decimals from each other

1. Move the decimal in the divisor to the right to create a whole number.
2. Move the decimal in the dividend to the right by the same amount that you moved it in the divisor.
3. Divide the numbers as you normally would.
4. Move the decimal directly up into your answer from the dividend.

How to Divide Decimals Practice Problems Quiz

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Dividing Decimals Quiz

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Divide the following decimals:

63.92 / 9.4

2 / 5

Divide the following decimals:

23.1 / 5.5

3 / 5

Divide the following decimals:

18.4 / 2.3

4 / 5

Divide the following decimals:

18.13 / 4.9

5 / 5

Divide the following decimals:

17.2 / 4.3

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Watch the video explanation of our Dividing Decimals Worksheet

Watch our free video on how to Divide Decimals. This video shows how to solve problems that are on our free Dividing Decimals worksheet that you can get by submitting your email above.

Watch the free Dividing Decimals video on YouTube here: How to Divide Decimals Video

Video Transcript:

This video is about how to do long division with decimals. You can get the decimal division worksheet used in this video for free by clicking on the link in the description below. The process for dividing decimals is very similar to the process for dividing regular integer numbers except you have to account for the decimal point by moving the decimal point before you divide.

The first problem we’re going to complete on our dividing decimals worksheet is number one. This problem gives us 8.4 divided by 2.1. We’re going to go ahead and set up our division problem. We have 2.1 divided into 8.4. Now remember the divisor has to be a whole number so we’re going to move the decimal point to the right to make a whole number. Now it’s 21 and then if you move the decimal to the right one time to your divisor you also have to do it to your dividend. Our dividend is going to be 84. Now that we have a whole number here, we’re going to take our decimal point and move it straight up into the area of our solution or our quotient’s going to go. You’re just going to divide 21 into 84 which happens to go four times. You say four times here and then 21 times four is 84 and then when you subtract those you will get no remainder or zero. Our solution is going to be four, it would be 4.0 or just four.

The next problem we’re going to complete on our dividing decimals worksheet is number six. This division of decimals problem gives us 40.7 divided by 7.4. We’re going to go ahead and set up our division problem. We’re going to take our decimal point and our 7.4 we’re going to make it a whole number. We move it to the right so now it’s 74 and then you’re going to move your decimal now that you have a whole number for your divisor. You can move the decimal point directly up into where your quotient is going to go then we can go ahead and complete the division. 74 goes into 407 5 times 74 times 5 is 370 then we’re going to subtract 7 minus 0 is 7. 0 minus 7 you can’t do. You have to borrow from the 4 make it a 3 and then turn the 0 into a 10. 10 minus 7 is 3 and then 3 minus 3 just cancels you’re left with nothing. Now we have our zero we’re going to bring down this is going to become 370. And then 74 goes to 370 five times which is also 370 and then when you subtract you will get zero. The solution to this dividing decimals example is 5.5.

The last problem we’re going to complete on our dividing decimals worksheet is number seven. This problem gives us 3.675 divided by 1.05. Again, we’re going to take our decimal point in our divisor and we’re going to move it until we have a whole number. In this case we have to move it two times. We move it two times and the divisor, we also have to move it twice in the dividend. It moves two times in the dividend. Now that we have a whole number, we can move our decimal point directly into the area where our quotient is going to go then we’re going to divide 105 into 367. It goes three times 105 times 3 is 315 then we’re going to subtract 7 minus 5 is 2 6 minus 1 is five and then three minus three is zero or it goes away bring the five straight down. This is going to be a five here and then 105 goes into 525 five times which is also 525 and then when you subtract those you have no remainder or just 0. Our solution to this dividing decimals example is 3.5. Hopefully this video was helpful for teaching you how to divide decimals. Try the other practice problems by downloading the division with decimals worksheets above.

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