NS 3.4*1%7
Solve problems
involving division of multi-digit numbers by
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one-digit numbers.
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UNDERLYING SKILLS AND CONCEPTS:
division basic facts;
multiplication basic facts;
subtraction basic facts;
estimation
Divide with Zeros in the Quotient
a
K
ey Ide
You can use multiplication basic facts
when you divide by 1-digit divisors.
You repeat 4 steps as you divide.
1.
2.
3.
4.
Estimate to divide.
Multiply.
Subtract.
Bring down the next digit.
E x am p l E
Uncover the first
digits of the
dividend that make
a number larger
than the divisor.
Repeat Steps 1-4.
547
75
7 3640
00
535
235
Step 1
Estimate and divide.
How many 7s
can you take
out of 14?
When you cannot
divide, place a 0 in
the quotient for
that step.
Step 2
Multiply.
7 ! 5 " 35
Step 3
Subtract.
36 # 35 " 1
Step 4
Are there more?
Bring down the
next digit.
5375
7 3640
00
# 35535
1235
# 1225
Step 205
537
75
7 3640
00
# 35535
1235
# 1225
Step 3 05
5 75
7 36,40
00
# 35 535
1 435
# 1225
Step 4 005
Multiply.
7 ! 2 " 14
Subtract.
14 # 14 " 0
Are there more?
Bring down the
next digit.
Step 1
Estimate to divide.
How many 7s
can you take
out of 36?
5 275
7 36,40
00
# 35 535
1 435
# 1225
005
5 275
7 36,40
00
# 35 535
1 435
1 425
005
Repeat Steps 1 – 4
until you have cleared
the dividend.
The answer is 5,201.
page 114
5 275
7 36,40
00
# 35 535
1 435
1 425
0 5
5 201
7 36,4070
00
# 35
535
1 4 35
1 4 25
007 5
7
0
5 2
7 36,4080
00
# 35
535
1 4 35
1 4 25
00 5
Check.
Multiply the quotient
by the divisor.
Add the remainder.
You should get the
dividend.
Chapter 10 – Lesson 3
D – © CSL Associates, Inc. All rights reserved.
Find 7 !3
"6
",4
"0
"7
".
Name
P RAC T I C E
Divide.
203
1. 48
1
2
605
308
2. 26
1
6
408
107
106
3. 33
2
1
4. 55
3
0
307
803
5. 74
,2
3
5
6. 62
,4
4
8
7. 82
,4
5
6
8. 54
,0
1
5
5,407
7,036
3,208
6,043
9. 63
2
,4
4
2
10. 42
8
,1
4
4
11. 92
8
,8
7
2
12. 84
8
,3
4
4
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.
13. Tim picks up golf balls on the
14. Tanya spent the same amount of
driving range. One day he picked
time each day at the driving range.
up 312 balls and put them into
After 5 days, she figured she was
cans. If each can holds 3 balls, how
there 1,530 minutes. How many
many cans did he fill?
minutes was she there each day?
104 cans
Math
Reasoning
306 minutes
Divide With Zeros in the Quotient
MR 2.3
15. What is the first operation you use to check the estimate?
Multiplication
Chapter 10 – Lesson 3
page 115
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 78
Name
…at home!
P RAC T I C E
Divide.
106
1. 5 5
3
0
606
5. 5 3
,0
3
0
5,208
9. 7 3
6
,4
5
6
209
2. 3 6
2
7
509
6. 4 2
,0
3
6
6,206
10. 9 5
5
,8
5
4
105
108
3. 4 4
2
0
4. 5 5
4
0
307
903
7. 7 2
,1
4
9
8. 5 4
,5
1
5
5,307
9,034
11. 7 3
7
,1
4
9
12. 7 6
3
,2
3
8
13. Tim picks up golf balls on the
14. Tanya spent the same amount of
driving range. One day he picked
time each day at the driving range.
up 501 balls and put them into
After 4 days, she figured she was
cans. If each can holds 3 balls, how
there 1,620 minutes. How many
many cans did he fill?
minutes was she there each day?
167 cans
Math
Reasoning
405 minutes
Divide With Zeros in the Quotient
MR 2.3
15. What is the first operation you use to check the estimate?
Multiplication
page 78
Home Resource and Homework
Chapter 10 Lesson 3
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:00 Page 213
Name
P RAC T I C E
Divide.
203
1. 48
1
2
605
5. 74
,2
3
5
5,407
9. 63
2
,4
4
2
308
107
2. 26
1
6
106
3. 33
2
1
408
6. 62
,4
4
8
7,036
10. 42
8
,1
4
4
4. 55
3
0
307
803
7. 82
,4
5
6
8. 54
,0
1
5
3,208
6,043
11. 92
8
,8
7
2
12. 84
8
,3
4
4
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.
13. Tim picks up golf balls on the
14. Tanya spent the same amount of
driving range. One day he picked
time each day at the driving range.
up 312 balls and put them into
After 5 days, she figured she was
cans. If each can holds 3 balls, how
there 1,530 minutes. How many
many cans did he fill?
minutes was she there each day?
104 cans
Math
Reasoning
306 minutes
Divide With Zeros in the Quotient
MR 2.3
15. What is the first operation you use to check the estimate?
Multiplication
Chapter 10 – Lesson 3
Student Book Page
page 115
Name
…at home!
P RAC T I C E
Divide.
106
1. 5 5
3
0
606
5. 5 3
,0
3
0
5,208
9. 7 3
6
,4
5
6
209
2. 3 6
2
7
509
6. 4 2
,0
3
6
6,206
10. 9 5
5
,8
5
4
105
108
3. 4 4
2
0
4. 5 5
4
0
307
903
7. 7 2
,1
4
9
8. 5 4
,5
1
5
5,307
9,034
11. 7 3
7
,1
4
9
12. 7 6
3
,2
3
8
13. Tim picks up golf balls on the
14. Tanya spent the same amount of
driving range. One day he picked
time each day at the driving range.
up 501 balls and put them into
After 4 days, she figured she was
cans. If each can holds 3 balls, how
there 1,620 minutes. How many
many cans did he fill?
minutes was she there each day?
167 cans
Math
Reasoning
405 minutes
Divide With Zeros in the Quotient
MR 2.3
15. What is the first operation you use to check the estimate?
Multiplication
page 78
Home Resource and Homework
Chapter 10 Lesson 3
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.