Learn the basics of division with this free lesson, which includes division basics as well as interactives for you to practice.

### Remainders

In the previous pages, we divided numbers equally. For instance, at the beginning of the lesson, we divided 10 tickets equally between 5 people. Each person received 2 tickets. What happens when a number can't be equally divided?

For example, consider the situation below.

Let's say we have 10 tickets...

Let's say we have 10 tickets... that we are dividing between 3 friends.

We'll try solving the problem 10 / 3.

Let's see how many tickets we can give to each of our friends...

Let's see how many tickets we can give to each of our friends...

Let's see how many tickets we can give to each of our friends... One...

Let's see how many tickets we can give to each of our friends... One...

Let's see how many tickets we can give to each of our friends... One...

Let's see how many tickets we can give to each of our friends... One... Two...

Let's see how many tickets we can give to each of our friends... One... Two...

Let's see how many tickets we can give to each of our friends... One... Two...

Let's see how many tickets we can give to each of our friends... One... Two... Three.

What happens now? We have 3 friends and only 1 ticket is left.

That means 1 is the **remainder**, or the amount left over.

We're ready to write our quotient.

Each friend has three tickets, so we'll write 3.

Then, we'll write our remainder. That's 1. See how we wrote it next to the lowercase letter **r**?

So, 10 / 3 = 3 r1. We can read this quotient as **three remainder one**. 10 tickets divided by 3 friends means each friend gets 3 tickets with 1 ticket left over.

You can see from the slideshow that the remainder (1) is smaller than the number we divided by (3). That will always be the case when the problem has a remainder. For example, look at each of these problems below:

21 / 5 = 4 r1

The remainder of 1 is smaller than 5.

76 / 6 = 12 r4

The remainder of 4 is smaller than 6.

If the remainder is larger, that means the amount left over is too large. You'll need to try dividing again. For example, if you have 4 friends and 7 tickets left over, you know that each friend can get at least one more ticket.