We've already practiced checking division problems by following these steps:
First, we multiply part of our quotient, or answer, by the single-digit divisor.
Second, we subtract to find the remainder.
If we have a single-digit quotient and a two-digit divisor, what do we do? Do we follow the same steps?
Let's figure out by finding the remainder for this problem:
Our problem divides by a two-digit divisor, 42. To find the remainder, we multiply our answer by the divisor.
What do you notice? Normally, the two-digit number is on top. In our problem, the two-digit number is at the bottom. It's easy to work on the problem if the two-digit number is on top. So we just switch 6 and 42 and then multiply. Our product will still be the same.
The product equals 252. Now we subtract 252 from 265.
The difference equals 13. This is our remainder. Now we can put this in the answer.
The quotient for 265 divided by 42 is 6 with a remainder of 13.
