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### Course: 5th grade (Eureka Math/EngageNY)>Unit 2

Lesson 7: Topic G: Partial quotients and multi-digit decimal division

# Dividing decimals

We'll start with simple problems like 3 / 2 and build to more complex problems like 4.5 / 0.15.
In this article, you'll learn how to divide decimals by jumping in and giving it a try without being shown how to do it first.
The problems go from easier to more difficult. Along the way there are examples and explanations to help you out if you get stuck. If you get a little confused, just think of it as a chance to learn!
Let's start by dividing whole numbers to get a decimal.

### Problem set 1:

Problem 1a
$3÷2=$

Beautiful, let's move on to dividing larger whole numbers.

### Problem set 2:

Problem 2a
$27÷4=$

Great, now we'll work on dividing a decimal by a whole number.

### Problem set 3:

Problem 3a
$2.5÷5=$

Nice! Let's move onto working with slightly bigger numbers.

### Problem set 4:

Problem 4a
$9÷30=$

Sweet! Next up are even bigger numbers!

### Problem set 5:

Problem 5a
$50÷40=$

Baller. Now we'll divide decimals by decimals.

### Problem set 6:

Problem 6a
$0.8÷0.2=$

Awesome! Let's try a few that are a bit harder.

### Problem set 7:

Problem 7a
$4.5÷0.1=$

Great, we'll finish with a few more challenging problems.

### Problem set 8:

Problem 8a
$12÷0.5=$

## Want to join the conversation?

• can anyone break down how to do set 7, it was pretty confusing
• The first thing that you can do is shift the decimal in 4.5. When doing this, you also have to shift the decimal in 0.1. This is essentially 45/1, which is 45. So the answer is 45.
• i know according to sal 30/1000 equal to .03...but when i divide on paper i dont understand why i need 0 after the decimal.after putting decimal i can solve it with .3....can anyone tell me what is my mistake?
• Can 1000 go into 30? No, so you change 30 int0 30.0 and, you but 0. in your answer.

Can 1000 go into 300? No. So, you change 30.0 into 30.00

Can 1000 go into 3000? Yes - 3 times.

I think the step you are missing is that any time you can't divide because the dividend is not large enough, you put a 0 in your answer because you divided 0 times. Then, you add a zero to the dividend to get a larger number.

FYI... you can always check your result by multiply your answer (0.3) with the divisor (1000) to see if you get back to 30. 0.3 x 1000 = 300, not 30.

Hope this helps.
• Wait there are more than 3 problems?!
• unforcenatlly yes
• I absolutely love how everyone is so helpful! But I have one question how would I divide 4.85 divided by 12.67 please help thanks :)
• It's impossible because 12.67 needs to be divided by 4.85. I hope This kinda helped. :)
• Wait, 12 divided by 0.1 is 120? Thanks.
• Note that 0.1 is 1/10, and dividing by 1/10 is the same as multiplying by 10.

So 12 divided by 0.1 = 12 divided by (1/10) = 12*10 = 120.

Note that 120 answers the question "how many tenths are in 12?".

If the 120 still doesn't make sense to you, check this division by multiplication: 120*0.1 = 12.0 = 12, so it does check.
• good
i go pay 100 for a bad teacher when here it is a free good site
• why are some some of these easy and complicate and try to trick you
• So that you can understand the subject more thoroughly. :D