Interpreting Remainders
Big 7
Area Model
Word Problems
100

Solve.

97 ÷ 3 =

32 r. 1

100

Solve using partial quotients(Big 7). 

     124 ÷ 4 =

Will check boards for work. 

124 ÷ 4 = 31

100

Solve 87 ÷ 3 with area model. 

Will check boards for model. Answer is 29. 

100

Kara has 21 flowers. She wants to put them in a garden with 3 rows. Make a model to show the fewest number of flowers in a row she will need to plant all 21 flowers.

Will check boards. Model should show 3 rows, with 7 flowers in each row.

200

317 ÷ 5 = 

315 ÷ 5 = 63 r. 2

200

288 ÷ 6 =

288 ÷ 6 = 48.

200

Solve 145 ÷ 5 using area model. 

Will check boards for work. 

145 ÷ 5 = 29

200

I have 42 cookies. I want to divide them equally among my seven friends. How many cookies will each friend get?

Which equation goes with this problem?

     42 x 7 = n                 42 ÷ 7 = n     

Then, solve for n.    

42 ÷ 7 = n goes with this problem.

n = 6

300

I have $126 to spend at the Book Fair. Each book costs $4. How many books can I buy? Will there be any money left over?

You can buy 31 books. You will have $2 left over. 

300

Use partial quotients(Big 7) to solve 234 ÷ 5.

Will check boards for work. 

234 ÷ 5 = 46 r. 4

300

When solving a division problem with area model, how do you know if there is a remainder? Write a response on your board. 

Will check boards for responses. 

300

Dylan has 6 dogs. He has 32 dog treats. Each dog will get an equal number of treats. Draw a model showing how the treats could be divided among the dogs. 

Will there be any treats left over?

Will check board for models. 

Yes, there will be 2 treats left over. 

400

Solve. 

1,372 ÷ 6 =

228 r. 4

400

Use partial quotients to solve 349 ÷ 4= 

Will check boards for work. 


Correct answer is 87 r.1

400

Use area model to solve 349 ÷ 4. 

Will check boards for work. 

Answer is 87 r. 1

400

Write a word problem for 69 ÷ 3. Then, solve your problem.

Will check boards for word problems. 

Correct answer to problem is 23.

500

348 friends are traveling by car to the zoo. Nine people fit in one car. How many cars will the group need so that all the friends can go to the zoo?

They will need 39 cars. 

500

Bob used partial quotients to solve for 1,420 ÷ 7. Do you agree with his work? Explain why or why not. 

I agree with Bob's work. He multiplied the divisor as many times as possible to get to the dividend. Then, he added up the partial quotients to get the quotient and remainder. 

500

Jenny used area model to solve 1,481. Do you agree with her work? Explain. 

I disagree with Jenny's work. She did not account for the remainder, which is 5. The correct answer is   246 r. 5

500

One week, Eva earned $144 babysitting. She earns $8 an hour. How many hours did she babysit that week?

The second week, Eva earned $56 more than she earned the week before. How many hours did she babysit the second week?

The first week, Eva babysat for 18 hours. 


The second week, Eva babysat for 25 hours.