Division Basics
What is the answer to a division problem called?
Quotient
864 ÷ 24
36
A library has 936 books to place evenly on 26 shelves. How many books will go on each shelf?
There will be 36 books per shelf.
A school ordered 1,200 pencils. At first, the pencils were packed into boxes of 12 pencils each. Later, they were repacked into boxes of 24 pencils each.
How many fewer boxes were needed the second time?
50 fewer boxes
Ava solved 936 ÷ 26 and said the answer was 34.
Is Ava correct? If not, explain her error and find the correct answer.
Ava is incorrect.
936 ÷ 26 = 36.
What is the word to describe a number in a division problem that you are dividing by?
Divisor
1,575 ÷ 35
45
Mia has 1,275 stickers. She divides the stickers equally among herself and her 16 friends. How many stickers does each person get?
Each person will get 75 stickers.
A bakery made 2,700 cookies. First, the cookies were packed into boxes holding 15 cookies each. Later, the bakery used boxes holding 30 cookies each.
How many fewer boxes were needed with the larger boxes?
90 fewer boxes
Liam solved 1,575 ÷ 35. He said:
1,575 ÷ 35 = 40
Liam explains, “35 × 40 = 1,400, so my answer is 40.”
Explain Liam's error and find the correct quotient.
Liam is incorrect. He stopped before finding the complete quotient.
1,575 ÷ 35 = 45.
What is the word that describes the number I a division problem that is being divided up?
Dividend
3,456 ÷ 48
72
A toy company made 4,368 toy cars. The cars are packed into boxes that hold 24 cars each. How many full boxes can be packed?
There will be 182 full boxes.
A warehouse has 4,800 water bottles. The bottles were originally packed into cases holding 24 bottles each. They were later repacked into cases holding 40 bottles each.
How many fewer cases were needed after repacking?
80 fewer cases
Sophie divided 4,368 ÷ 24 and got 172. She checked her work by multiplying:
172 × 24 = 4,128
Sophie says her answer must be correct because her product is close to 4,368.
Is Sophie correct? Explain how you know and find the correct quotient.
Sophie is incorrect. Her check proves that 172 is not the quotient because 172 × 24 does not equal 4,368.
4,368 ÷ 24 = 182.
If the divisor does not divide evenly into the dividend, what do you call the left over?
Remainder
6,825 ÷ 25
273
Noah collected 6,048 trading cards. He wants to divide them equally among himself and his 20 friends. How many cards does each person get?
Each person will get 288 cards.
A school supply company has 6,300 notebooks. It first packs them into boxes holding 28 notebooks each. The company then decides to use larger boxes that hold 42 notebooks each.
How many fewer boxes does the company need with the larger boxes?
75 fewer boxes
Ethan has 6,048 pieces of candy to divide equally among himself and his 20 friends. Ethan calculates:
6,048 ÷ 20 = 302 R8
He says each person gets 302 pieces.
What mistake did Ethan make? Find the correct answer.
Ethan is incorrect. He divided by 20, but there are 21 people because it is Ethan and his 20 friends.
6,048 ÷ 21 = 288 pieces per person.
Name three strategies you could use to solve a division problem.
Partial quotients, standard algorithm, area model
9,072 ÷ 18
504
A factory produced 8,425 markers. Each shipping box holds 32 markers. How many boxes can be packed?
264 boxes will be packed.
A factory needs to ship 8,640 toy blocks. At first, workers put 32 blocks in each box. They later decide to put 48 blocks in each box.
How many fewer boxes are needed when they use the larger boxes?
90 fewer boxes
A company has 7,200 pencils. It can pack them into boxes of 24 or boxes of 40. Maya says:
7,200 ÷ 24 = 300
7,200 ÷ 40 = 180
300 + 180 = 480
Maya says the company uses 480 fewer boxes when it uses the larger boxes.
Explain Maya's error and determine how many fewer boxes are actually needed.
Maya's division is correct, but she added the numbers of boxes instead of finding the difference.
300 − 180 = 120 fewer boxes.