Quotient Quest
What is 864 ÷ 8?
108
Using partial quotients, what is 936 ÷ 3 if you break 936 into 900 + 30 + 6?
300 + 10 + 2 = 312
What is 257 ÷ 6? Give the quotient and remainder.
42 R5
What multiplication equation can you use to check 738 ÷ 6 = 123?
123 × 6 = 738
There are 84 players split into 6 equal teams. Write a division equation and find the number of players on each team.
84 ÷ 6 = 14 players
735 ÷ 5?
147
Milo has 96 books. If he puts 8 books on each shelf using repeated subtraction, how many times will he subtract 8 before reaching zero?
12 times
Thirty-one strawberries are shared equally among 6 cups. How many strawberries go in each cup, and how many are left over?
5 in each cup, 1 left over
A student says 1,608 ÷ 8 = 201. Is the student correct? How can multiplication prove it?
Yes. 201 × 8 = 1,608.
A chef has 225 desserts. Each tray holds 9 desserts. How many trays are needed?
25 trays
How many digits are in the whole-number quotient of 1,728 ÷ 6?
3 digits (288)
Use the distributive property to solve 416 ÷ 4 = (400 ÷ 4) + (16 ÷ 4). What is the quotient?
100 + 4 = 104
Sixty-five passengers need rides. If each van holds 6 passengers, how many vans are needed? Explain what happens to the remainder.
11 vans. The quotient is 10 R5, so one more van is needed.
A student solves 875 ÷ 7 and gets 125. What multiplication equation checks the answer?
125 × 7 = 875
A waiter needs 272 plates. Each box contains 8 plates. How many boxes must the waiter unpack?
34 boxes
Find the quotient and remainder: 2,468 ÷ 9.
274 R2
An area model breaks 252 into 210 + 42. Use the model to solve 252 ÷ 7.
30 + 6 = 36
Thirty strawberries are shared equally among 8 cups. Each cup gets 3 strawberries, with 6 left over. How many more strawberries are needed so every cup can get 4?
2 more strawberries
A student says 2,468 ÷ 9 = 274 R2. How can you use multiplication and addition to check the answer?
(274 × 9) + 2 = 2,468
There are 65 people waiting for vans. Each van holds 5 passengers. How many vans are needed? If the vans instead hold 6 passengers each, how many vans are needed then?
13 vans holding 5 each; 11 vans holding 6 each.