# Level 6: Unit 3 - Division

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## Instructor ## Overview An expert in the field shows us how to share.

(Source)

Sharing is important—it makes everyone feel better. And if you are going to share, you need to learn how to divide. If you don't know how to divide something equally among the people you are sharing with, somebody is going to feel left out.

Sure, you could just count things out one at a time to everyone, but what if you are dividing up a huge bag of M&M's, or the big stash of pennies you found in your sister's room? It could take you a long time, and if you are divvying up pennies from your sister's room, speed may be important.

Plus, what if the things you are sharing don't divide out equally? You will need to think about how to handle the leftovers. Maybe you will eat the M&M's, and leave the remaining pennies for your sister. Either way, it would be nice to know how many leftovers you have.

There must be a better way, you say…and you are right. It's called division. We will teach you how to divide in all sorts of situations, deal with remainders, and understand word problems.

Then we will eat the leftover M&M's in celebration, and use the leftover pennies to buy more. That's the plan. Are you in?

### Summary

• We will learn the secrets of dividing by ten and powers of ten. Make sure you only use these secrets to do good and never for evil.
• After that, we will review simple division, and learn the terms of division problems – the divisor, the dividend and the quotient.
• If we can't solve a problem with simple division, we'll do it the hard way – with long division.
• Oh, no, we have leftovers! That's no problem, because we will learn how to handle remainders.
• We'll learn how to divide large numbers, decimals, and all sorts of combinations. Bring 'em on! We'll be ready.
• Word problems will be no problem for us. We'll learn how to set them up properly and solve them.
• Finally, we will set up a fun activity where you get to be the teacher and teach us! But don't even think about detention.

### Objectives

By the end of this unit, you should be able to

• solve division problems where we are dividing by powers of ten by shifting the decimal point properly.
• use the DMS loop to solve long division problems.
• identify and understand the three parts of a division problem – the divisor, the dividend and the quotient.
• know the ways to represent a remainder in a division problem, and how to show a repeating decimal.
• understand how to borrow from a dividend, and where to place the decimal point in long division problems involving decimals.
• be able to solve multi-digit division problems, problems including decimals, and combinations of the two.
• know how to look for the key words in a word problem and set up and solve word problems properly.