Long Division with Multi-Digit Divisors — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. When 936 is divided by 28, the quotient is 33 with a remainder of 12.
Grade 5 long division: 28 times 33 equals 924, and 936 minus 924 equals 12, so the remainder is 12.
2. In 482 divided by 15, the quotient is 32 and the remainder is 2.
Grade 5 long division: 15 times 32 equals 480, and 482 minus 480 equals 2, giving a remainder of 2.
3. If you divide 700 by 21, the quotient is 33 with a remainder of 7.
Grade 5 long division: 21 times 33 equals 693, and 700 minus 693 equals 7, so the remainder is 7.
4. When 555 is divided by 24, the quotient is 23 and the remainder is 3.
Grade 5 long division: 24 times 23 equals 552, and 555 minus 552 equals 3, giving a remainder of 3.
5. In the division 612 divided by 19, the quotient is 32 with a remainder of 4.
Grade 5 long division: 19 times 32 equals 608, and 612 minus 608 equals 4, so the remainder is 4.
6. To check the answer to a division problem, multiply the divisor by the quotient and add the remainder.
Grade 5 check: dividend equals divisor times quotient plus remainder; this verifies long division work.
7. When 845 is divided by 26, the quotient is 32 and the remainder is 13.
Grade 5 long division: 26 times 32 equals 832, and 845 minus 832 equals 13, giving a remainder of 13.
8. If 379 is divided by 18, the quotient is 21 with a remainder of 1.
Grade 5 long division: 18 times 21 equals 378, and 379 minus 378 equals 1, giving a remainder of 1.
9. When you divide 920 by 27, the quotient is 34 and the remainder is 2.
Grade 5 long division: 27 times 34 equals 918, and 920 minus 918 equals 2, so the remainder is 2.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
936 divided by 28
→ 33 R 12
32 R 2
482 divided by 15
→ 32 R 2
33 R 12
700 divided by 21
→ 33 R 7
33 R 7
612 divided by 19
→ 32 R 4
32 R 4
Grade 5 long division: each pair must satisfy dividend equals divisor times quotient plus remainder, with remainder less than divisor.