Dividing Decimals by Decimals

Welcome to another CSE dividing decimals tutorial. In this post, we are going to learn how to divide a decimal by another decimal. If you read the first dividing decimals tutorial that I’ve posted, then do know that this one is going to be easier, not to mention that you get some division exercises after the tutorial. I strongly suggest that you read that post first so you can have a better understanding of dividing decimals. For this lesson, we are going to use the example; 6.5 ÷ 0.5.

 

6.5 ÷ 0.5

The first step that we need to do is move the decimal point of the divisor to the left UNTIL it becomes a whole number. The divisor in our example is 0.5 so…

 

Next is to do the same with the dividend. We will move the decimal point until it becomes a whole number.

 

Now that we have them converted into whole numbers, we can proceed to divide them. You can do the “mind” division because, in the CSE dividing decimals part of the exam, only the answer is needed, and showing your solution is not required. However, it is quite handy if you know how to solve questions like this with the long division method. Watch the video below to refresh your brain about basic division.

Since our example 6.5 ÷ 0.5 became 65 ÷ 5, where the dividend and divisor are both whole numbers, the equation became a lot easier. The answer is 13 with no remainders. Its long division process looks like this:

I hope you understand how the process works. Knowing this will boost your chances of getting better results in the CSE Numerical Reasoning part of the test. But what if there are 3 or more digits that follow after the decimal point? Let’s say, 0.32 divided by 0.006 (0.32 ÷ 0.006). How do we deal with it? Well first, we move the decimal point of the divisor until it becomes a whole number. To make 0.006 whole, we have to move the decimal point three places to the right. 0.006 becomes 6.

Next is we move the decimal point of the dividend by the same amount of places that we moved the decimal point of the divisor. Since with the divisor, we moved it three times to the left, we will do that here too. Just don’t forget to add a “ZERO” for every empty space you move the decimal point of the dividend. In this case, 0.32 will become 320.

So now that we’ve converted our decimals into whole numbers, which is now 320 ÷ 6, we can proceed and divide them. Using our basic division knowledge, we now get the answer 53.333. If you understood the process of dividing decimals by decimals, you may proceed to the FREE CSE exercises below regarding this tutorial.

Dividing Decimals by Decimals Exercises

Here are some decimals that you can divide for you to put your new knowledge to the test. Take your time to remember the process and try to get as many correct answers as possible.

1. 0.75 ÷ 0.15 = ?	11. 0.53 ÷ 0.01 = ?
2. 0.66 ÷ 0.03 = ?	12. 0.54 ÷ 0.09 = ?
3. 0.32 ÷ 0.008 = ?	13. 0.25 ÷ 0.01 = ?
4. 0.88 ÷ 0.02 = ?	14. 0.36 ÷ 0.06 = ?
5. 0.11 ÷ 0.055 = ?	15. 0.45 ÷ 0.15 = ?
6. 0.84 ÷ 0.06 = ?	16. 0.65 ÷ 0.05 = ?
7. 0.77 ÷ 0.07 = ?	17. 0.25 ÷ 0.05 = ?
8. 0.88 ÷ 0.04 = ?	18. 0.64 ÷ 0.04 = ?
9. 0.96 ÷ 0.04 = ?	19. 0.39 ÷ 0.03 = ?
10. 0.63 ÷ 0.01 = ?	20. 0.56 ÷ 0.008 = ?

Once you are done with the questions, click on any of the social media buttons below to reveal the correct answers.

So did you get at least 17 correct answers? If so, then good. You are on the right track. For more Math exercises, visit this Numerical Reasoning reviewers archive.