decimal division for 5th grader need help working the problem out

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for example  245.3 divided by 5

Oct 14th, 2015

Hi! Thanks for working with me on this question!

You would work this problem out using what is called long division. I've attached a picture to show how it looks, to go along with my notes below. :)


Picture: Scan.pdf 


Put the 245.3 under the "division house" and the five on the outside of the "division house."

Start by asking "how many times does 5 go into 2?" (be looking at the 2 in 245.3)

The answer is zero, so you move on to the second digit in 245.3.


Ask: How many times does 5 go into 24?

The answer is 4 times, so you write a 4 on the top of the division house. It helps to write the 4 right above the 4 in 245.3 to help you keep track of which digit you were on.

Now 4 x 5 is 20, so write 20 under the 24 in 245.3.

Subtract: 24-20 = 4.

Bring down the next digit in 245.3, which is the 5.


Now ask: How many times does 5 go into 45?

The answer is 9, so write a 9 on top of the division house after the 4 you already put up there.

Now 9 x 5 is 45, so write 45 under the 45 you already had.

Subtract: 45 - 45 = 0.

Bring down the next digit in 245.3, which is the 3.


Now ask: How many times does 5 go into 3?

The answer is zero, so write a 0 on top of the division house after the 4 and the 9 you already have up there.

Now 0 x 5 is 0, so write 0 under the 3.

3 - 0 = 3


You are supposed to get a decimal answer, and we're not done yet because we haven't gotten a remainder of zero, so you need to bring down another digit from 245.3. With decimals, you can add extra zeros on to the end of the number as long as the zeros are after the decimal point. So, for example, 245.3 is the same as 245.30 and it's also the same as 245.3000, etc.

So put an extra zero after the 3 in 245.3 so that you have another digit to bring down.

Bring down the zero.


Now ask: How many times does 5 go into 30?

The answer is 6, so write a 6 in the next place on top of the division house.

Now 6 x 5 is 30, so write 30 under the 30.

Subtract: 30 - 30 = 0


We've gotten down to a zero remainder, so we are done!

Another thing to remember is that there was a decimal in 245.3, and the decimal point in your answer goes right above the decimal point that you wrote in 245.3 under the division house. So the decimal point should go in between the 9 and 0 that you have in your answer.


The answer is 49.06.

I hope this helps you move forward on the problem! Let me know if you need any more clarification!
Oct 14th, 2015

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