How to Divide Decimals without needing a Calculator

The Easy Method for Dividing Decimals

How to Divide Decimals Practice Problems Quiz

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.

If we wanted to divide 15.6 divided by 6.5 you would set it up just as you normally would for long division. We’re going to say 6.5 is being divided into 15.6. In order to divide decimals your divisor has to be a whole number. In order to change that you’re going to have to move the decimal point one time to the right. We move it to the right to make it 65. Every time you move the decimal to your divisor you also have to move it to your dividend. we also have to move this decimal point to the right one time. Now that we have decimal points that have been moved you can take your decimal point and your dividend and move it straight up to where your answer where your quotient’s going to go. This decimal point will be where your decimal is located in your solution to the problem. Now we can divide just as we normally would 156 divided by 65. Well, the largest amount of 65s that can go into 156 is 2. It can go in 2 times 65 times 2 is 130 then we’re going to subtract 6 minus 0 is 6 5 minus 3 is 2 and then 1 minus 1 is 0.  We’re left with 26. Then we’re going to bring down a 0. This is going to we’re going to have a 0 here. We’re going to bring it down make it 260. Then you have to figure out how many times 65 goes into 260. It goes in four times. Now we have a four here it happens to be 260 and then when you subtract 260 minus 260 you get 0 or no remainder. Your solution will be your quotient up here which is 2.4. That’s going to be the solution to 15.6 divided by 6.5. Let’s do a couple practice problems on our dividing decimals worksheet.

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.