Long Division with Multi-Digit Divisors — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. 37 students need vans that hold 8 students each. How many vans are needed?
A) 4 vans
B) 5 vans
C) 4 R 5 vans
D) 8 vans
Grade 5 students must round the quotient up when no one can be left behind.
2. A baker has 50 cookies and packs them in boxes of 6. How many full boxes does she fill?
A) 6 boxes
B) 7 boxes
C) 8 boxes
D) 9 boxes
Grade 5 problems sometimes drop the remainder and report the whole-number quotient.
3. Mrs. Lee shares 95 pencils equally among 7 students. How many pencils does each student get if leftovers stay in the box?
A) 12 pencils
B) 13 pencils
C) 14 pencils
D) 15 pencils
When leftovers are kept aside, Grade 5 students report only the whole-number quotient.
4. A bus holds 24 riders. The school needs to transport 150 students. How many buses are required?
A) 6 buses
B) 7 buses
C) 5 buses
D) 6 R 6 buses
Grade 5 transportation problems require rounding up to seat every student.
Part B: Fill in the Blank
Write the correct answer on each line.
1. When 37 ÷ 8 = 4 R 5 and every leftover student still needs a van, the answer must be rounded up.
Grade 5 students round up when leftovers still require a whole unit.
2. When 50 ÷ 6 = 8 R 2 and you only count fully packed boxes, you drop the remainder.
Grade 5 problems about completed groups discard the remainder.
3. When 95 ÷ 7 = 13 R 4 and each student keeps the whole-number share, the remainder stays as a leftover amount.
Grade 5 students recognize that some real-world situations leave a leftover unsplit.
4. When 150 ÷ 24 = 6 R 6 and every rider must be seated, you must round up to 7 buses.
Rounding up the quotient ensures every Grade 5 rider has a seat.
5. Choosing what to do with the remainder depends on how the real-world situation asks you to interpret it.
Grade 5 standard 5.NBT.6 asks students to interpret remainders in context.