Long Division with Multi-Digit Divisors — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A bakery has 792 cookies and packs them into boxes of 24. How many full boxes can the bakery fill?
A) 33 boxes
B) 34 boxes
C) 32 boxes
D) 30 boxes
Grade 5 long division: 24 times 33 equals 792, so exactly 33 full boxes are filled with no remainder.
2. A school orders 875 pencils to share equally among 25 classrooms. How many pencils does each classroom get?
A) 35 pencils
B) 30 pencils
C) 40 pencils
D) 45 pencils
Grade 5 long division: 25 times 35 equals 875, so each of the 25 classrooms receives exactly 35 pencils.
3. A bus carries 36 students. If 720 students must travel, how many buses are needed?
A) 20 buses
B) 21 buses
C) 19 buses
D) 22 buses
Grade 5 long division: 36 times 20 equals 720, so exactly 20 buses are needed with no extra students left over.
4. A teacher has 365 markers to share among 16 students as evenly as possible. How many markers does each student get, with how many left over?
A) 22 markers, 13 left over
B) 22 markers, 12 left over
C) 23 markers, 0 left over
D) 21 markers, 29 left over
Grade 5 long division: 16 times 22 equals 352, and 365 minus 352 equals 13, so each student gets 22 markers with 13 left over.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A farmer has 504 apples to pack into crates of 18. The farmer can fill exactly 28 crates.
Grade 5 long division: 18 times 28 equals 504, so exactly 28 crates are filled with no remainder.
2. If 458 students need to ride buses that hold 32 each, the school needs 15 buses (round up because every student must ride).
Grade 5 reasoning: 32 times 14 equals 448 with 10 left over, so 14 buses are not enough; the school must round up to 15 buses.
3. A baker makes 600 muffins and packs them in trays of 24. The number of full trays is 25.
Grade 5 long division: 24 times 25 equals 600, so exactly 25 full trays are packed with no muffins left over.
4. A library has 845 books to share equally on 25 shelves. Each shelf holds 33 books, with 20 left over.
Grade 5 long division: 25 times 33 equals 825, and 845 minus 825 equals 20, so each shelf holds 33 books with 20 left over.
5. A factory produces 936 toys in 24 hours, making the same number each hour. The factory makes 39 toys per hour.
Grade 5 long division: 24 times 39 equals 936, so the factory makes exactly 39 toys per hour with no remainder.