Estimating Quotients
Interpret the Remainder
Hodgepodge
Base 10 Model and Distributive Property
Use Big 7 or Long Division & Check
100
85➗ 4
About 20
100
Kelly divides 29 markers equally among 7 friends. If Kelly keeps the leftover markers, how many markers will she keep?
1 marker
100
Which of the following will have a remainder? 32÷6 58÷3 72÷9 125÷5
32÷6 58÷3 72÷9=8 125÷5=25 dividend ends in 5 or 0
100

68 ➗ 4

Base 10 blocks

17 Should show one ten and 7 ones in each of four groups

100

Select all the expressions that equal 300. 

A) 1,200÷4

B) 24,000÷8 

C) 1,800÷6

D) 150 ÷ 5 

E) 3,000÷ 3

A & C

200
172 ➗ 5 The quotient will be between what two numbers?
150÷5=30 200÷5=40 The quotient will be between 30 and 40.
200
Dave has a board that is 29 inches long. He cuts the board into 4 equal pieces. How long will each piece be?
7 1/4 inches
200
Paula and her three friends are trading stamps. Together, they have 74 for stamps. How many stamps will each friend have? How many stamps will be left over.
Each friend will have 18 cards. There will be 2 cards left over.
200

812 ➗ 4

Distributive Property

Answer: 203

There is more than one way to distribute. Here is an example: (800 ➗4) + (12➗4)


200
833 ➗ 5
166 R3 166 x 5 = 830 830 + 3 = 833
300
There are 484 fourth grade students in St. Augustine with 6 tour groups. What is the best estimate of the number of fourth grade students in each tour group?
About 80
300
Eight students can ride in a van. How many vans are needed for 29 students?
4 vans
300
3,000 ➗ 5
60
300

63 ÷ 3 Distributive Property

Answer: 21 

There's more than one right answer. Here are some examples: 

(60 ÷ 3) + (3 ÷ 3) 

 (30 ÷ 3) + (33 ÷ 3)

300

935 ➗ 3

311 R2 

Check: 311 x 3 = 933 

             933 + 2 = 935

400
There are 1,246 students at Longwood Elementary. There are four grade levels. About how many students are in each grade level?
About 300
400
Mac has 40 ounces of juice. He pours 6 ounces in each glass. How many glasses can he fill?
6 glasses
400
Jasmine has four dozen eggs in order to make wedding cakes. Each cake requires 8 eggs. How many wedding cakes can Jasmine make?
6
400

122 ➗ 5 

Base 10 Blocks

24 R2  (2 tens and 4 ones in each group with 2 left over)

400

1,976 ➗ 8

247 

Check: 247 x 8 = 1,976

500
There were 2,657 people who went to see the musical "Annie". There were 3 performances of the musical. About how many audience members were at each performance?
About 900
500
A sporting goods company can ship 6 footballs in each carton. How many cartons are needed to ship 75 footballs?
13 cartons
500
A theatre has 14 rows of 8 seats each. Forty seats are already filled. How many rows are empty?
9 rows 14 x 8= 112 112-40= 72 72/8= 9
500

1,530 ÷ 5

Distributive Property

Answer: 306. 

There is more than one way to distribute. Here is an example: 

(1,500 ÷ 5) + (30 ÷ 5)

500

1,042 ➗ 6

173 R4 

Check:173 x 6 = 1,038 1,038 + 4 = 1,042

M
e
n
u