Divide by 1-Digit Divisors
Estimating with 2-Digit Divisors
Divide by 2-Digit Divisors
Interpreting the Remainder
Problem Solving
100
The first digit in the quotient will be in the __________ place.
1,875 ÷ 9
Hundreds
100
Use the basic fact and pattern of zeros to solve the problem. Explain how you found your answer.
6,400 ÷ 80 = ?
80
Possible explanation: The basic fact is 64 ÷ 8 = 8. Since 6,400 and 80 both share one zero, we cancel out one zero from the dividend and one zero from the divisor. There is one zero left, so we know our quotient has one zero.
100
The first digit in the quotient will be in the _________ place.
1,248 ÷ 24
Tens
100
True or False?
When solving a division problem with a remainder, always write the remainder as a fraction.
False. The way you interpret the remainder depends on the situation and the question.
100
Dana is making a seating chart for an awards banquet. There are 184 people coming to the banquet. If 8 people can be seated at each table, how many tables will be needed?
23
200
315 ÷ 7 = 45
Which number is the Quotient? Dividend? Divisor?
Quotient- 45
Dividend- 315
Divisor- 7
200
Use the basic fact and pattern of zeros to solve the problem. Explain how you found your answer.
55,000 ÷ 11 = ?
5,000
Basic fact: 55 ÷ 11 = 5
The dividend and divisor do not share any zeros so I know that my quotient has two zeros.
200
Divide. Show your Work.
5,210 ÷ 17 = ?
306 r8
200
To write the remainder as a fraction, You write the remainder over the __________.
Divisor
200
Ty is checking the answer to a division problem by doing the following:
152
x 4
608
+ 2
610
What problem is Ty checking?
610 ÷ 4
300
Find the value of n in the equation. What does n represent?
643 = 4 x 160 + n
n = 3
n is the remainder
300
Use compatible numbers to estimate the quotient:
2,340 ÷ 12 = ?
2,400 ÷ 12 = 200
300
James divided using Partial Quotients. What is the quotient? Explain your thinking using numbers and words.
16 r3
Possible explanation: I subtracted multiples of 12 from the dividend until the number left was less than 12. Then I added the partial quotients to find the quotient and there was a remainder of 3.
300
A sporting goods store is going to ship 1,252 sleeping bags. Each shipping carton can hold 8 sleeping bags. How many cartons are needed to ship all of the bags?
157
Possible explanation: The quotient is 156 r4. Since there are 4 sleeping bags left over, another carton would be needed to ship the remaining sleeping bags.
300
Samuel needs 233 feet of wood to build a fence. The wood comes in lengths of 11 feet. How many total pieces of wood will Samuel need? Explain your answer.
22 pieces
Possible explanation: I need to divide 233 by 11. The answer is 21 r2. Since Samuel can't buy a partial piece of wood, I need to add 1 to the quotient. So, the final answer is 22.
400
225 ÷ 9 = ?
25
400
Use compatible numbers to estimate the quotient:
2,004 ÷ 11 = ?
2000 ÷ 10 = 200
400
8,808 ÷ 42 = ?
209 r30
400
Jess and Kaylie want to hike the 87 mile long, Great Juniper Trail. If they plan to hike for 12 days, how many miles will they hike each day? (Decide how to use the quotient and remainder to answer the question)
7¼ miles
400
Stephen has a dog that weights 5 times as much as Ian's dog. The total weight of both dogs is 72 pounds. How much does Stephen's dog weigh? Draw a diagram to help you solve the problem
72 ÷ 6 = 12
500
1,027 ÷ 4 = ?
256 r3
500
Use compatible numbers to estimate the quotient:
1792 ÷ 28 = ?
1800 ÷ 30 = 60
500
5,256 ÷ 52 = ?
101 r4
500
145 fifth-grade students at Fremont Elementary School are going to Franklin Park for a field trip. Each bus holds 40 students. All of the buses are full except one. How many students will be on the bus that is not full?
25 students
500
Jean and Leslie are trying to solve this problem:
A camp counselor has a list of 134 campers who signed up for art class. The counselor can place 8 students in each class. How many classes does the counselor need to have?
Jean says the counselor needs to have 16 classes. Leslie says the counselor needs to have 17 classes. Which student is correct? Explain your reasoning.
Leslie is correct. The quotient is 16 r6. The remainder of 6 represents 6 campers. These students must have a class to go to so you must form a new class.