1. What To Do With Remainders
By the end of this lesson, you will know four different ways to handle a remainder in real life.

2. My division problem has a remainder. Now what do I do?
Problems with a remainder require you to be extra thoughtful. This activity will teach you how to deal with remainders in real life.

3. Once you’ve got a remainder, think of DURT:
Drop or ignore the remainder
Use the remainder. It’s your answer!
Round your answer up.
Turn the remainder into
a fraction.

4. Drop or Ignore the Remainder
Mrs. Bushell is organizing her recipes into a binder. Exactly 4 recipes fit on each page. She has 29 recipes. How many pages will Mrs. Bushell fill?
29 ÷ 4 = 7 R 1
What does the 1 represent?
The 1 is the extra recipe that will go on a new page, but that page will not yet be filled.
What does the 7 represent?
The number of pages that will be filled.
In order to answer the question, I need to DROP the remainder.
Mrs. Bushell will fill 7 pages.

5. Use the Remainder. It’s your Answer!
The students in Miss Joseph’s class are forming groups of 4 for a math game. There are 29 students in her class. How many students will be left after groups of 4 are formed?
29 ÷ 4 = 7 R 1
What does the 7 represent? The number of groups that are formed.
What does the 1 represent? The number of students who will be left after the groups are formed.
In order to answer the question, I need to USE the remainder.
There will be 1 student left after groups are formed.

6. 8 X 4 = 32, so 8 boxes will be enough cupcakes
Round Up
Mrs. Pascarella is buying cupcakes for her class. The cupcakes come in boxes of 4. There are 29 students in her class. How many boxes of cupcakes does Mrs. Pascarella need to buy if she wants to give each student a cupcake?
29 ÷ 4 = 7 R 1
What does the 7 represent? At least 7 boxes of cupcakes will need to be ordered.
What does the 1 represent? The number of students who would not get a cupcake if only 7 boxes of cupcakes are ordered.
I need to ROUND UP so that everyone gets a cupcake. Instead of 7 boxes of cupcakes, she needs to order 8 boxes.
8 X 4 = 32, so 8 boxes will be enough cupcakes

7. Turn the Remainder into a Fraction
Miss Decof has a long piece of paper. The paper is 29 inches long. She wants to cut the piece of paper into 4 equal pieces.
29 ÷ 4 = 7 R 1
What does the 7 represent? Each piece will need to be at least 7 inches long.
What does the 1 represent? 1 inch of paper.
In order to get 7 equal pieces, we need to cut the left over 1-inch piece of paper into 4 equal parts (each is ¼ inch long).
So each person gets 7 ¼ inches of paper.

8. Bonus: Which of the DURT strategies did you use?
Boat Ride
At an amusement park, 16 people are waiting in line for a water ride. Each boat holds 6 people. How many boats will be completely filled?
16 divided by 6 = 2 boats full (4 people will not be on a boat)
Used the drop strategy
Bonus: Which of the DURT strategies did you use?

9. Apples
Miss Eddy is giving out 13 apples to 4 of her students. She wants each student to get the same amount of apple. How much apple should each student get?
Hint: Cut the leftover apple(s) into enough pieces for each of her students
13 divided by 4 = 3 apples per child. With the extra apple she will share the last apple (cut into fourths) so each child gets 3 ¼
Strategy = turn remainder into a fraction
Bonus: Which of the DURT strategies did you use?

10. Trading Cards
Thirty-three trading cards are to be placed in plastic sheets. Each sheet can display 8 cards. How many pages are needed to protect all the cards?
Bonus: Which of the DURT strategies did you use?
33 divided by 8 = 4 with 1 left over. 5 sheets are needed.
Round up was the strategy

11. Field Trip
Twenty-six students are going on a field trip, and parents have offered to drive. If each of the 8 cars holds 3 kids, how many kids will not have a ride?
26 divided by 8 = 3 with 2 left over. 2 kids won’t have a ride
Use the remainder – it’s the answer!
Bonus: Which of the DURT strategies did you use?

12. Can you name the four ways you can handle remainders?
Drop or ignore the remainder
Use the remainder. It’s your answer!
Round your answer up.
Turn the remainder into a fraction.