Lesson 6
Divide Whole Numbers
Name: Divide by One-Digit Numbers
Study the example problem showing division with a one-digit divisor
using partial quotients. Then solve problems 1–4.
Example
Find 2,718 4 6.
Divide each
place value of
2,718 by 6.
3
50
400
····· 
6​q· 2,718 ​
2 2,400 318 2 300 18 2 18 0
How many groups of 6 in 2,700? 400
Subtract 400 groups of 6.
How many groups of 6 in 300? 50
Subtract 50 groups of 6.
How many groups of 6 in 18? 3
Subtract 3 groups of 6.
Find the sum of the partial quotients: 400 1 50 1 3 5 453
2,718 4 6 5 453
1 Complete the steps to find 4,830 4 5.
····· 
How many groups of 5 in 4,800? 900
5​q· 4,830 ​
2
Subtract 900 groups of 5.
How many groups of 5 in 300? 2
Subtract groups of 5.
How many groups of 5 in 30? 2
Subtract groups of 5.
4,830 4 5 5 ©Curriculum Associates, LLC Copying is not permitted.
Lesson 6 Divide Whole Numbers
47
Solve.
2 Quinn and Jewel are finding the quotient of 336 4 8.
Look at their work to the right.
How are Quinn’s and Jewel’s ways of finding the
quotient similar? How are they different?
Quinn
2
10
30
8​q···· 
 336 ​
2 240
96
2 80
16
2 16
0
Jewel
2
40
q
8​···· 
 336 ​
2 320
16
2 16
0
3 A game store has 2,540 video games on 4 racks. Each
rack holds the same number of video games. How
many video games are on each rack?
Show your work.
Solution: 4 A sports team donates 157 tickets to a sporting event,
with tickets to be shared equally among 9 classrooms.
How many tickets does each classroom receive? How
many tickets are left over?
Show your work.
Solution: Each classroom receives tickets.
There are tickets left over.
48
Lesson 6 Divide Whole Numbers
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Lesson 6
Name: Divide by Two-Digit Numbers
Study the example showing division with a two-digit
divisor using partial quotients. Then solve problems 1–5.
Example
Find 1,386 4 22.
63
3
60
····· 
22​q· 1,386 ​
2 1,320 66 2 66 0
To divide using partial quotients,
estimate a number that can be
multiplied by the divisor to get
a product less than or equal to
the dividend, and then subtract
the product from the dividend.
Repeat these steps until there is
nothing left over.
How many groups of 20 in 1,200? 60
22 3 60
How many groups of 22 in 66? 3
22 3 3
1,386 4 22 5 63
1 Look at the example. For the first step, Jaime thought,
“How many groups of 20 in 1,400? There are 70.” If he
continues with the division steps, when will he know
that his first estimate of 70 is too high?
2 Multiply 14 by multiples of 10 to complete the table.
Multiples of 10
10
20
3 14
140
280
30
40
50
60
700
Write a multiple of 10 from the table to show the best partial
quotient to start with for each division problem below.
a.
14​q···· 
 462 ​ b.
14​q···· 
c. 14​q···· 
d.
 350 ​  798 ​ ©Curriculum Associates, LLC Copying is not permitted.
14​q···· 
 588 ​
Lesson 6 Divide Whole Numbers
49
Solve.
3 Complete the steps for using an area model to
solve 504 4 14.
504 4 14 is the same as 3 ? 5 .
?
1
(14 3 30 5
14
14
)
5
(14 3 6 5
)
504
2
2 84
504 4 14 5
4 Solve 504 4 14 using the partial quotient method
shown in the example problem.
Show your work.
Solution: 5 Food for a hunger relief program is shipped in
25-pound boxes. How many boxes will 2,350 pounds
of food fill?
Show your work.
Solution: 50
Lesson 6 Divide Whole Numbers
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Lesson 6
Name: Divide Whole Numbers
Solve the problems.
1 The Mini Muffin Company bakes 1,872 muffins. The
large Mini Muffin boxes hold a dozen muffins. How
many large boxes are needed to package the muffins?
Show your work.
What will be the
greatest place in the
quotient?
Solution: 2 Look at problem 1. Suppose the Mini Muffin Company
packs 6 muffins in each small box. Which of the
following describes the number of small boxes they
will fill? Circle the letter for all that apply.
A It will be more than the number of large boxes.
If you make the
number in each
group smaller, do
you get more groups
or fewer?
B It will be double the number of large boxes.
C It will be fewer than the number of large boxes.
D It will be half the number of large boxes.
3 The Best Bagel Company bakes 1,872 bagels. They put
a baker’s dozen, or 13 bagels, into each bag. How
many bags do they fill?
How is this problem
similar to problem 1?
Show your work.
Solution: ©Curriculum Associates, LLC Copying is not permitted.
Lesson 6 Divide Whole Numbers
51
Solve.
4 Which of the following expressions belongs in the area
model representing 714 4 42?
10
(42 3 10 5 420)
7
(42 3 7 5 294)
?
294 2 294
294
0
42
A 714 2 294
C 420 2 420
B 714 2 420
D 4202 294
What does the
number 10 represent
in the model?
Kera chose C. How did she get that answer?
5 The Lane School sold 1,152 granola bars to raise
money for digital cameras. They sold 528 berry bars.
The rest were raisin bars. The granola bars came in
boxes of 24 bars. How many boxes of each kind of
granola bar did they sell?
I think there are at
least two steps in
solving this problem.
Show your work.
Solution: boxes of berry bars
boxes of raisin bars
52
Lesson 6 Divide Whole Numbers
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