You already know how to check the correct quotient (answer) and remainder for two-digit divisor problems. Let's go back to the process of solving them.
You will see that the remainder for this problem is greater (larger) than the divisor. That's why the answer, or quotient, is too small. Make the answer a greater number.
The remainder must be less than the divisor. This problem should have a greater answer. The remainder 16 is greater than 13. So the answer should be greater than 5. It should be 6. Multiplying 6 times 13 equals 78 (6 x 13 = 78). Subtract that from 81, and you get 3. The new answer is correct because the remainder is now less than the divisor.
Here's a problem where the quotient is too great:
If you multiply to check, you'll find out that 22 times 8 equals 176 (22 x 8 = 176).
We cannot subtract 176 from 155, because 176 is greater. Here, the rule steps in. The number you get when you multiply can't be greater than the dividend. A lesser number as the quotient gives you the correct answer.
