Thanksgiving SALE! Get Math Mammoth and Make It Real Learning digital downloads at 30% off — right here at the MathMammoth.com website. Use coupon code THANKS30 at checkout. Offer valid through December 2, 2023.

^

# Division with remainders (mental math)

This is a beginner lesson where we look at visual models to understand the concept of REMAINDERS in division.

The first examples have to do with sharing division, and the latter ones with "measurement" division (where you know the size of the groups). Either way, the remainder is the "leftovers" — the items that cannot be evenly divided into groups.

I also emphasize how we can check a division problem with a remainder by MULTIPLYING, and then adding in the remainder.

All of this is done with mental multiplication and mental math - no long division.

This lesson is meant for 3rd or 4th grade math.

The NEXT lesson is a follow-up lesson, where we practice finding remainders in division. I explain how to find the remainder in single-digit division without using any visual model: we think of multiplication and "test-multiply" until we find how many times the divisor goes into the dividend. Then the difference between the original dividend and the multiplied result gives us the remainder. It's easier to explain with an example than in words!

We will also look at a WORD PROBLEM with Mathy my mascot mammoth. He has lots of puzzle books to pack into boxes... but they don't go evenly. How many boxes does Mathy actually need? The division is 51 / 8 = 6 R3, but the answer is NOT 6, but SEVEN boxes! Why? Because the "leftover" 3 books also need to go into a box. This principle where we also need to pack the leftovers or the remainder amount often throws students off.

Lastly we look at a simple pattern of division problems and see how the remainder increases by ONE each time the dividend increases by one... until you come to an even division.

Division with remainders (mental math) — online practice

Remainder in division-related word problems — video lesson

Introduction to prime numbers — video lesson

Math Mammoth Division 2 — a workbook with worksheets and lessons for long division, remainder, factors, and primes

Back to the list of 4th grade videos

Back to the index of all videos

WAIT!

Receive my monthly collection of math tips & resources directly in your inbox — and get a FREE Math Mammoth book!  You can unsubscribe at any time.

### Math Mammoth Tour

Confused about the different options? Take a virtual email tour around Math Mammoth! You'll receive:

An initial email to download your GIFT of over 400 free worksheets and sample pages from my books. Six other "TOURSTOP" emails that explain the important things and commonly asked questions concerning Math Mammoth curriculum. (Find out the differences between all these different-colored series!)

This way, you'll have time to digest the information over one or two weeks, plus an opportunity to ask me personally about the curriculum.
A monthly collection of math teaching tips & Math Mammoth updates (unsubscribe any time) ### "Mini" Math Teaching Course

This is a little "virtual" 2-week course, where you will receive emails on important topics on teaching math, including:

- How to help a student who is behind
- Troubles with word problems
- Teaching multiplication tables
- Why fractions are so difficult
- The value of mistakes
- Should you use timed tests
- And more!

A GIFT of over 400 free worksheets and sample pages from my books right in the very beginning. A monthly collection of math teaching tips & Math Mammoth updates (unsubscribe any time)
Enter your email to receive math teaching tips, resources, Math Mammoth news & sales, humor, and more! I tend to send out these tips about once monthly, near the beginning of the month, but occasionally you may hear from me twice per month (and sometimes less often). • A GIFT of over 400 free worksheets and sample pages from my books. 