We've learned that we can figure out the single-digit quotient, or answer, for two-digit divisor problems using estimation. This time around, we'll use estimation to determine two-digit quotients for two-digit divisor problems. Let's look at this division problem, which has a two-digit quotient: ![]() To start, it's important to determine the first part of 741 that we can divide by 32. That is 74. The first part of the answer goes above the 4 in the tens place. ![]() Next, we work the estimation problem. The estimation problem is 7 divided by 3. We know 3 goes into 7 two times. We place a 2 above the ones digit of 74. ![]() Then we multiply 2 by 32 and get 64 (2 x 32 = 64). We write 64 under 74 and then subtract. ![]() The difference we get is 10. Instead of writing the 10 in front of 1, we will bring down the 1. Now we will divide 101 by 32 (101 ÷ 32). The answer will go above the 1 in the ones place. The 10 is a remainder, so we don't have to write a zero in the answer. ![]() We will need another estimation problem for 101 divided by 32. The estimation problem is 10 divided by 3 (10 ÷ 3). We get 3 as our quotient. We write the 3 above the 1 in the ones place. ![]() Finally, we multiply 3 times 32 and get 96 (3 x 32= 96). We subtract 96 from 101 and get 5. This is our remainder. ![]() The quotient for 741 divided by 32 equals 23 with a remainder of 5 (741 ÷ 32 = 23 + R5). |
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