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NS 2.2*1%7
Demonstrate
proficiency with division, including division with
GLYLGHQGVDQGWZRGLJLWGLYLVRUVXVLQJVWUDWHJLHVEDVHGRQSODFHYDOXHWKHSURSHUWLHVRI
positive decimals and long division with multidigit divisors.
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PXOWLSOLFDWLRQDQGGLYLVLRQ,OOXVWUDWHDQGH[SODLQWKHFDOFXODWLRQE\XVLQJHTXDWLRQV
UHFWDQJXODUDUUD\VDQGRUDUHDPRGHOV
UNDERLYING SKILLS AND CONCEPTS:
use basic division facts;
divide with 1- and 2-digit divisors;
understand place value
Divide with Zeros in the Quotient
I love
zeros!
When you divide, you sometimes
need to put a zero in the quotient.
E x am p l E
Find 846 ! 8 " ■.
Note that in the 2nd row
of steps, there is not
enough left over to make
a full 8.
105 packages were filled.
6 toy cars were left over.
Step 1
Estimate to divide.
How many 8's can
you take out of 8?
Step 2
Multiply.
1#8"8
1
8 8
1
8 8
$ 8
Step 2
Step 1
Estimate to divide.
You can not take
any 8's from 4.
So, add a 0 to
the quotient
Step 3
Subtract.
8$8"0
1
8 8
$ 8
0
Step 4
Are there more?
Bring down the
next digit.
1
8 84
$ 8
04
Step 3
Step 4
Are there more?
Bring down the
next digit.
Skip these 2 steps
10
8 846
$ 8
046
10
8 84
$ 8
04
Step 2
Step 3
Step 1
Multiply.
Subtract.
Estimate to divide.
How many 8's can 5 # 8 " 40 46 $ 40 " 6
you take out of 46?
105
8 846
$ 8
046
105
8 846
$ 8
046
$ 40
105
8 846
$ 8
046
$ 40
6
Step 4
Are there more?
No. Record the
remainder.
105 R6
8 846
$ 8
046
$ 40
6
Don't forget to check your answer using multiplication.
Mrs.
Perfect
page 44
Gee!
Would I get the
same answer
if I did not skip
these 2 steps?
105 R6
8 846
$ 8
04
$ 0
46
$ 40
6
Yes
And now,
I understand
why to skip
these 2 steps.
Mrs.
Hey!
Sometimes,
you need to skip
these 2 steps
more than once!
Perfect
Chapter 4 – Lesson 4
E – © CSL Associates, Inc. All rights reserved.
A toy factory packs 8 toy
cars in each package.
The factory produced 846
toy cars yesterday.
How many packages will
846 toy cars fill?
How many toy cars will be
left over?
Name
P RAC T I C E
Complete the long division to find each quotient and remainder. Show your work.
1.
2.
3.
4.
13 27,125
39 85,902
58 90,486
71 142,150
Use long division to find each quotient and remainder.
5. 7 2
16
30 R6
6. 47 4
,7
83
101 R36
7. 13 2
72
20 R12
8. 56 6
,7
20
120
9. 25 1
,0
20
40 R20
10. 69 1
4,3
30
207 R47
11. 34 2
,0
67
60 R27
12. 87 2
6,1
65
300 R65
13. 34 3
,7
07
109 R1
14. 92 2
76,5
38
3,005 R78
E – © CSL Associates, Inc. All rights reserved.
15. The art teacher was dividing painting supplies among the students.
He had 202 tubes of paint to share equally among 19 students.
How many would each student get?
Would there be any tubes left over?
10 tubes per student, 12 left over.
16. The fifth-grade teacher had 271 sheets of paper for the class writing time.
Each student received 9 sheets of paper.
How many students were there?
Were there any sheets left over?
30 students,
1 sheet left over
Circle the correct choice.
17. The school gave 285 tickets to share among the 14 members of the theater club for their
next performance. How many tickets did each member receive?
A
B 14
10
Math
Reasoning
C
20
Quotient Question
D
271
MR 2.6
18. The quotient is 20. What is the problem?
Possible answers: 20 1; 100 5; 200 10, etc.
Chapter 4 – Lesson 4
page 45
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:02
Page 32
Name
…at home!
P RAC T I C E
Complete the long division to find each quotient and remainder. Show your work.
1.
2.
3.
4.
13 6 5 , 5 4 7
58 116,938
39 121,138
71 72,712
Use long division to find each quotient and remainder.
5. 7 2
86
40 R6
6. 47 9
,4
47
201
7. 13 3
9
8
30 R8
8. 56 5
,9
16
105 R36
9. 25 1
,2
58
50 R8
10. 69 1
7,9
43
260 R3
11. 34 2
,0
52
60 R12
12. 87 2
9,6
28
340 R48
13. 34 3
,6
78
108 R6
14. 92 2
81,4
52
3,059 R24
He had 187 tubes of paint to share equally among 19 students.
How many would each student get?
Would there be any tubes left over?
9 tubes per student, 16 left over.
16. The fifth-grade teacher had 289 sheets of paper for the class writing time.
Each student received 9 sheets of paper.
How many students were there?
Were there any sheets left over?
32 students,
1 sheet left over
Circle the correct choice.
17. The school gave 325 tickets to share among the 16 members of the theater club for their
next performance. How many tickets did each member receive?
A
10
Math
Reasoning
B 14
C
20
Quotient Question
D
271
MR 2.6
18. The quotient is 50. What is the problem?
Answers may vary: 5 2
5
0
50 or
50 2
,5
0
0
50
page 32
Home Resource and Homework
Chapter 4 Lesson 4
E – © CSL Associates, Inc. All rights reserved.
15. The art teacher was dividing painting supplies among the students.
MCX94TEG5CH01_32.v7.4.2 2/24/01 19:43 Page 85
Name
P RAC T I C E
Complete the long division to find each quotient and remainder. Show your work.
1.
2.
3.
4.
2,086 R7
2 ,2 0 2 R 2 4
1 ,5 6 0 R 6
13 27,125
26
1 12
1 04
85
78
7
39 85,902
78
7 9
7 8
102
78
24
58 90,486
58
32 4
29 0
3 48
3 48
06
2, 002 R8
71 142,150
142
0 150
142
8
Use long division to find each quotient and remainder.
5. 7 2
16
30 R6
6. 47 4
,7
83
101 R36
7. 13 2
72
20 R12
8. 56 6
,7
20
120
9. 25 1
,0
20
40 R20
10. 69 1
4,3
30
207 R47
11. 34 2
,0
67
60 R27
12. 87 2
6,1
65
300 R65
13. 34 3
,7
07
109 R1
14. 92 2
76,5
38
3,005 R78
E – © CSL Associates, Inc. All rights reserved.
15. The art teacher was dividing painting supplies among the students.
He had 202 tubes of paint to share equally among 19 students.
How many would each student get?
Would there be any tubes left over?
10 tubes per student, 12 left over.
16. The fifth-grade teacher had 271 sheets of paper for the class writing time.
Each student received 9 sheets of paper.
How many students were there?
Were there any sheets left over?
30 students,
1 sheet left over
Circle the correct choice.
17. The school gave 285 tickets to share among the 14 members of the theater club for their
next performance. How many tickets did each member receive?
A
B 14
10
Math
Reasoning
C
20
Quotient Question
D
271
MR 2.6
18. The quotient is 20. What is the problem?
Possible answers: 20 1; 100 5; 200 10, etc.
Chapter 4 – Lesson 4
Student Book Page
page 45
Name
…at home!
P RAC T I C E
Complete the long division to find each quotient and remainder. Show your work.
1.
2.
3.
4.
5 ,04 2 R 1
2 ,0 1 6 R10
3,106 R4
13 6 5 , 5 4 7
65
0 54
52
27
26
1
58 116,938
116
0 93
58
358
348
10
39 121,138
117
4 1
3 9
238
234
4
1 ,0 2 4 R 8
71 72,712
71
1 71
1 42
292
284
8
Use long division to find each quotient and remainder.
5. 7 2
86
40 R6
6. 47 9
,4
47
201
7. 13 3
98
30 R8
8. 56 5
,9
16
105 R36
9. 25 1
,2
58
50 R8
10. 69 1
7,9
43
260 R3
11. 34 2
,0
52
60 R12
12. 87 2
9,6
28
340 R48
13. 34 3
,6
78
108 R6
14. 92 2
81,4
52
3,059 R24
He had 187 tubes of paint to share equally among 19 students.
How many would each student get?
Would there be any tubes left over?
9 tubes per student, 16 left over.
16. The fifth-grade teacher had 289 sheets of paper for the class writing time.
Each student received 9 sheets of paper.
How many students were there?
Were there any sheets left over?
32 students,
1 sheet left over
Circle the correct choice.
17. The school gave 325 tickets to share among the 16 members of the theater club for their
next performance. How many tickets did each member receive?
A
10
Math
Reasoning
B 14
C
20
Quotient Question
D
271
MR 2.6
18. The quotient is 50. What is the problem?
Answers may vary: 5 2
5
0
50 or
50 2
,5
0
0
50
page 32
Home Resource and Homework
Chapter 4 Lesson 4
E – © CSL Associates, Inc. All rights reserved.
15. The art teacher was dividing painting supplies among the students.