You've just learned how to spot the correct quotient, or answer, for a two-digit divisor problem. Now let's figure out how to check whether a single-digit quotient and remainder is the correct answer for a two-digit divisor problem. Look at this problem and the answer:
What do you notice? The remainder for this problem is greater (larger) than the dividend. The remainder must always be less than the number divisor. For this problem, we should have a greater number for our answer.
The correct answer will be 6. When we multiply 6 times 13, we get 78. We subtract and get 4. Now the remainder is less than the divisor. So the answer is correct.
Remember, if the remainder is greater than the divisor, the answer is too small. What do you do? You make the answer greater.
Let's take a look at another division problem and answer.
What's wrong with this problem and solution? When we subtract 102, we get 21. So 6 is not the correct answer. The remainder is greater than the divisor. We need to make the answer greater. What number should we use? The number 7 should do the job.
