Learn all about dividing numbers using long division in this free lesson, which includes practice problems.

### Problems with remainders

In Introduction to Division, you learned that some numbers can't be equally divided. When that happens, there will be an amount left over. This is called a **remainder**. For instance, let's say you want to share 8 treats equally among your 3 dogs. The answer is that each dog would get two treats with a remainder of two.

The remainder is written as part of the quotient: 8 / 3 = 2 r2.

Long division problems can have remainders too. Watch the slideshow to see how.

Let's try this problem, 49 / 4.

As always, start by dividing the **left **digit. This means we'll solve for 4 / 4.

4 / 4 is 1.

Next, we'll multiply the answer we just got, 1, by the number we're dividing by, 4. So 4 x 1.

4 x 1 is 4.

Next, subtract 4 - 4. Whenever you subtract a number from the **same** number, the answer is **0**. So 4 - 4 = 0.

Our problem's not done. The next digit in the number we're dividing is 9. We'll solve for 9 / 4.

9 / 4 is 2.

Again, we'll multiply the number we just wrote by the number we're dividing by.

2 x 4 is 8.

We'll subtract that number, 8, from the number we were dividing.

9 - 8 is 1.

Since 1 is smaller than 4, we can't divide it any further. 1 is our **remainder**. We'll write it next to the rest of the answer.

We're done! 49 / 4 = 12, with a **remainder** of 1.

#### Try this!

Solve these division problems with remainders. Then, check your answer by typing it into the boxes.