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Dividing With a Remainder

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  • 0:05 Refresher on Division
  • 0:38 Math Vocabulary
  • 1:16 Dividing With a Remainder
  • 2:48 Lesson Summary
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Lesson Transcript
Instructor: Jaimee Arnold

Jaimee has worked in elementary school and has her Master's +30.

In this lesson, you will learn what to do when you are dividing and you have a number leftover. We will be using basic division steps and learning all about remainders.

Refresher on Division

Division is when you take a total and divide it, or break it into equal groups. It's like the brother of multiplication, so you can use what you already know in multiplication to help you solve division problems. For example, 3 * 2 = 6, so if you take 6 and divide it by 2, the answer is 3. It is a fact family. Remember, a fact family is a group of related facts.

Sometimes when you're dividing, the number can't be broken into groups equally and there's something left over called a remainder. After this lesson, you will know what to do when you have a division problem that ends up with a remainder.

Math Vocabulary

To begin, let's talk about two important math vocabulary words: division and remainder. Division, as we just discussed, is the math process of taking a number and breaking it or dividing it into smaller equal parts. A remainder is any extra left over after you divide evenly. You will not always have a remainder when you divide. In some cases, the division problem will end up with nothing left over, so in that case, there would be no remainder. For example, 4 divided by 2 equals 2, and there's nothing left over.

When you're writing out math problems, the abbreviation for remainder is 'R' with the number left over next to it, and it's placed directly to the right of the quotient, or answer to the division problem.

Dividing With a Remainder

When you divide, you're taking a total number and breaking into smaller equal parts. Let's see this in action.

We'll begin with a total of 10 and break it into 3 parts. The first step is to set up the division problem, so you need to take 10 and see how many groups of 3 are in it. Hint: This is where knowing multiplication facts will be helpful. (3 * x = 10, or something close to 10.) But if you're not great at multiplication, you can always draw a picture on the side of your paper or list the multiples of the number to help determine the answer.

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