Home » Math » FREE Divide using Partial Quotients Cut and Paste Activity

Your children will enjoy this FREE Divide using Partial Quotients cut and paste activity. It is a great introduction activity for learning the steps.



Very rarely do we come upon difficulties in math with my nine-year-old. Normally, we have a quick five-minute discussion about the new concept and he is off to complete the work. And when he brings the work back, he rarely has any mistakes.

Well, this week we jumped into long division, and for the first time in a long time, he is struggling with a math skill.  And so, I’ve created a few activities to help him master this skill!! The first one is cut and paste activity to help him divide using partial quotients.

Prep – Work

Oh, there isn’t any!!!

Just print off the pages, provide glue and scissors, and you are ready to go!!!!

How to Divide Using Partial Quotients

If you have read much of my blog, I’m all for trying different ways of solving a problem and then letting my kiddos choose the one that works best for them.

When I was teaching in a public school classroom, I often found that partial quotients was a wonderful method for my struggling math students. It gave them a little wiggle room in finding the exact number!

This week I’m teaching my son partial quotients. I choose to do this first because he prefers this method for adding and subtracting. He liked it for multiplication until I taught him lattice and now that is his go to.

Step 1:

Just like in traditional division we begin by looking at the first digit in our dividend. And figuring out how many times the divisor will go into it.  The only difference is that we are not looking at the digit as a five but as its real value…..500.

So we ask ourselves, five times what equals 500.

And, of course,e the answer is 5 x 100 = 500. We place the factor in the column to the right of the problem and the product underneath the dividend.

Now we subtract!!!

And the process starts all over again. We look at the six and ask, “Five times what gets me close to 60?”

Now here is what I love about partial quotients. If your children know their 12 multiplication times tables they could place a 12 in the right-hand column. But if they don’t know that fact, 10 works just as well.


Step 2:


As you can see, 10 was used as a factor so fifty became the product. Once 65 – 50 was done, the student now how a new problem to figure out.

5 x ?? = 15. (Need more work on this type of problem, check out this activity)

This is an easy one.

5 x 3 = 15…….so three goes in the right-hand column.



Step 3:

We already know that 5 x 3 = 15, so now we place the product under our dividend and subtract.

Yea!!! We are at zero. We are almost done!

Step 4:


All that is left to do is add up all the products!!!

100 + 10 + 3 = 113 and that is our answer.

Having it worked out in front of him, really helped my little man zero in on the steps. And as we moved on from here, it was a lot easier for him.

I hope it is for your children too.

You’ve Got This,


You may also like:

Long Division Game


Long Division Puzzles