Learn all about dividing numbers using long division in this free lesson, which includes practice problems.
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.
Solve these division problems with remainders. Then, check your answer by typing it into the boxes.