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NS 2.2*1%7
Demonstrate
proficiency with division, including division with
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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-digit divisors;
understand place value
Divide by 2-Digit Divisors
You use multiplication facts when you
divide by 2-digit divisors.
Repeat 4 steps as you divide.
1. Estimate to divide.
2. Multiply your estimate by the divisor.
divisor
3. Subtract.
4. Bring down the next digit.
Gee!
Which one is
the divisor
and which one is
the dividend?
12 3,857
dividend
Forgot
Mr. I.
E x am p l E
A poultry farm needs to pack 3,857 eggs into cartons.
Each carton holds 12 eggs. How many cartons are needed? Solve 3,857 ! 12.
Step 2
Step 1
Estimate to divide. Multiply.
How many 12s can 3 " 12 # 36
you take out of 38?
3
12 3,8
$ 3 6
3
12 3,8
Then follow steps 1–4.
Repeat steps 1–4 until
you have cleared all the
digits in the dividend.
Step 2
Step 1
Estimate to divide. Multiply.
How many 12s can 2 " 12 # 24
you take out of 25?
32
12 3,85
$ 3 6
25
32
12 3,85
$ 3 6
25
Step 3
Subtract.
38 $ 36 # 2
Ms.
Hey!
This is like
dividing
by a single
digit.
Div
Step 3
Subtract.
25 $ 24 # 1
32
12 3,85
$ 3 6
25
$ 24
1
page 42
$ 3 6
25
$ 24
17
Yes!
But the
$ 12
multiplications
5
Mr.
are a little
Div more difficult.
3
12 3,85
$ 3 6
25
3
12 3,8
$ 3 6
2
Solution:
321 R5
Repeat Steps 1 – 4
They need 321 cartons.
until you have cleared 12 3,857
There are 5 eggs left over. the dividend.
Step 4
Are there more?
Bring down the
next digit.
Step 4
Are there more?
Bring down the
next digit.
32
12 3,857
$ 3 6
25
$ 24
17
Check.
Multiply
the quotient
by the divisor.
Add the
remainder.
You should get
the dividend.
321
" 12
642
3 210
3,852
%
3,852
5
3,857
Chapter 4 – Lesson 3
E – © CSL Associates, Inc. All rights reserved.
Uncover the first digits of
the dividend until you
find a number greater
than or equal
to the divisor.
Name
P RAC T I C E
Complete the long division to find each quotient and remainder. Show your work.
1.
2.
3.
4.
11 24,125
29 35,989
43 60,041
67 125,903
Use long division to find each quotient and remainder.
5. 13 6
93
53 R4
6. 50 1
5,8
48
316 R48
7. 21 7
99
38 R1
8. 67 2
3,9
07
356 R55
9. 34 1
,8
04
53 R2
10. 75 8
7,3
28
1,164 R28
11. 46 7
,6
05
165 R15
12. 98 1
,2
64,5
32
12,903 R38
E – © CSL Associates, Inc. All rights reserved.
Solve
13. Roger says that he has practiced the violin for
1,000 hours so far. How many days is 1,000 hours?
41 days and 16 hours.
14. There are 488 fifth-graders and 22 fifth-grade classes at Park Middle
School. Can all the fifth-grade classes have the same number of students?
No
Circle the correct choice.
15. For the Chinese New Year, Mrs. Lee served 1,250 egg rolls. She bought
the egg rolls in packages of 36. How many packages did Mrs. Lee use?
A
B 36
1,214
Math
Reasoning
C
35
D
34
Quotients
MR 2.2, 2.3
16. There are two whole numbers, Number A and Number B.
When Number A is divided by 10, the quotient is 10.
When Number B is divided by 10, the quotient is 12.
Which is greater, Number A or Number B?
Explain how you decided.
Number B
Number A is 100. Number B is 120.
120 is greater than 100, so B A.
Chapter 4 – Lesson 3
page 43
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:02
Page 30
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.
11 23,166
29 40,692
43 48,876
67 186,894
Use long division to find each quotient and remainder.
5. 13 2
5
9
19 R12
6. 50 2
0,6
15
7. 21 8
4
5
412 R15
40 R5
8. 67 2
1,6
55
323 R14
9. 34 1
,5
83
46 R19
10. 75 7
9,2
65
1,056 R65
11. 46 6
,5
07
141 R21
12. 98 1
,8
54,8
46
18,927
50 days
1,200 hours so far. How many days is 1,200 hours?
14. There are 432 fifth-graders and 18 fifth-grade classes at Park Middle
School. Can all the fifth-grade classes have the same number of students?
Yes, 24
Circle the correct choice.
15. For the Chinese New Year, Mrs. Wu served 1,152 egg rolls. She bought
the egg rolls in packages of 36. How many packages did Mrs. Lee use?
A
1,116
Math
Reasoning
B 36
C
34
D 32
Quotients
MR 2.2, 2.3
16. There are two whole numbers, Number A and Number B.
When Number A is divided by 10, the quotient is 20.
When Number B is divided by 10, the quotient is 22.
Which is greater, Number A or Number B?
Explain how you decided.
Number B
A 10 20, A 200
B 10 22, B 220
page 30
Home Resource and Homework
BA
Chapter 4 Lesson 3
E – © CSL Associates, Inc. All rights reserved.
Solve
13. Doug says that he has practiced the piano for
MCX94TEG5CH01_32.v7.4.2 2/24/01 19:43 Page 81
Name
P RAC T I C E
Complete the long division to find each quotient and remainder. Show your work.
1.
2.
3.
4.
2,193 R2
1 ,2 4 1
1 ,3 9 6 R 1 3
11 24,125
22
2 1
1 1
1 02
99
35
33
2
29 35,989
29
6 9
5 8
1 18
1 16
29
29
0
43 60,041
43
17 0
12 9
4 14
3 87
271
258
13
Use long division to find each quotient and remainder.
5. 13 6
93
53 R4
6. 50 1
5,8
48
1, 879 R10
67 125,903
67
58 9
53 6
5 30
4 69
613
603
10
316 R48
7. 21 7
99
38 R1
8. 67 2
3,9
07
356 R55
9. 34 1
,8
04
53 R2
10. 75 8
7,3
28
1,164 R28
11. 46 7
,6
05
165 R15
12. 98 1
,2
64,5
32
12,903 R38
E – © CSL Associates, Inc. All rights reserved.
Solve
13. Roger says that he has practiced the violin for
1,000 hours so far. How many days is 1,000 hours?
41 days and 16 hours.
14. There are 488 fifth-graders and 22 fifth-grade classes at Park Middle
School. Can all the fifth-grade classes have the same number of students?
No
Circle the correct choice.
15. For the Chinese New Year, Mrs. Lee served 1,250 egg rolls. She bought
the egg rolls in packages of 36. How many packages did Mrs. Lee use?
A
B 36
1,214
Math
Reasoning
C
35
D
34
Quotients
MR 2.2, 2.3
16. There are two whole numbers, Number A and Number B.
When Number A is divided by 10, the quotient is 10.
When Number B is divided by 10, the quotient is 12.
Which is greater, Number A or Number B?
Explain how you decided.
Number B
Number A is 100. Number B is 120.
120 is greater than 100, so B A.
Chapter 4 – Lesson 3
Student Book Page
page 43
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.
2 ,10 6
1,403 R5
1 ,1 3 6 R 2 8
11 2 3 , 1 6 6
22
1 1
1 1
06
0
66
66
0
29 40,692
29
11 6
11 6
09
0
92
87
5
43 48,876
43
5 8
4 3
1 57
1 29
286
258
28
Use long division to find each quotient and remainder.
5. 13 2
59
19 R12
6. 50 2
0,6
15
7. 21 8
45
2 ,7 8 9 R 31
67 186,894
134
52 8
46 9
5 99
5 36
634
603
31
412 R15
40 R5
8. 67 2
1,6
55
323 R14
9. 34 1
,5
83
46 R19
10. 75 7
9,2
65
1,056 R65
11. 46 6
,5
07
141 R21
12. 98 1
,8
54,8
46
18,927
50 days
1,200 hours so far. How many days is 1,200 hours?
14. There are 432 fifth-graders and 18 fifth-grade classes at Park Middle
School. Can all the fifth-grade classes have the same number of students?
Yes, 24
Circle the correct choice.
15. For the Chinese New Year, Mrs. Wu served 1,152 egg rolls. She bought
the egg rolls in packages of 36. How many packages did Mrs. Lee use?
A
1,116
Math
Reasoning
B 36
C
34
D 32
Quotients
MR 2.2, 2.3
16. There are two whole numbers, Number A and Number B.
When Number A is divided by 10, the quotient is 20.
When Number B is divided by 10, the quotient is 22.
Which is greater, Number A or Number B?
Explain how you decided.
Number B
A 10 20, A 200
B 10 22, B 220
page 30
Home Resource and Homework
BA
Chapter 4 Lesson 3
E – © CSL Associates, Inc. All rights reserved.
Solve
13. Doug says that he has practiced the piano for