NS 3.4*1%7
Solve problems
involving division of multi-digit numbers by
&&66
)LQGZKROHIQXPEHUTXRWLHQWVDQGUHPDLQGHUVZLWKXSWRIRXUGLJLW
GLYLGHQGVDQGRQHGLJLWGLYLVRUVXVLQJVWUDWHJLHVEDVHGRQSODFHYDOXHWKHSURSHUWLHVRI
one-digit numbers.
RSHUDWLRQVDQGRUWKHUHODWLRQVKLSEHWZHHQPXOWLSOLFDWLRQDQGGLYLVLRQ,OOXVWUDWHDQG
H[SODLQWKHFDOFXODWLRQE\XVLQJHTXDWLRQVUHFWDQJXODUDUUD\VDQGRUDUHDPRGHOV
UNDERLYING SKILLS AND CONCEPTS:
division basic facts;
multiplication basic facts;
subtraction basic facts;
estimation
Divide by a 1-Digit Number
a
K
ey Ide
You use multiplication basic facts
when you divide by 1-digit divisors.
You repeat 4 steps as you divide.
1. Estimate to divide.
2. Multiply.
3. Subtract.
4. Bring down the next digit.
Find 6!8
"1
"6
".
Uncover the first
digits of the
dividend that make
a number larger
than the divisor.
Repeat Steps 1-4.
Step 1
Estimate to divide.
How many 6s
can you take
out of 8?
1 47
75
6 8160
00
535
235
Step 1
Estimate and divide.
How many 6s
can you take
out of 21?
13
6 816
# 6
21
Step 1
Estimate and divide.
How many 6s
can you take
out of 36?
136
6 816
# 6
21
18
36
page 112
Step 2
Multiply.
6!1"6
Step 3
Subtract.
8#6"2
Step 4
Are there more?
Bring down the
next digit.
1 375
6 8160
00
# 6 535
1235
# 1225
Step 2
05
Multiply.
1367
75
6 8140
00
# 65535
2 235
# 1225
Step 3
05
1
6 816
# 6
21# 1225
005
6 ! 3 " 18
13
6 816
# 6
21
Step 2
Multiply.
6 ! 6 " 36
136
6 816
# 6
21
# 18
36
36
Subtract.
21 # 18 " 3
13
6 816
# 6
21
# 18
003
Step 4
Are there more?
Bring down the
next digit.
13
6 816
# 6
21
018
0036
Step 3
Subtract.
36 # 36 " 0
136
6 816
# 6
21
# 18
36
# 36
0
6!8
"1
"6
" " 136.
Chapter 10 – Lesson 2
D – © CSL Associates, Inc. All rights reserved.
E x am p l E
Name
P RAC T I C E
Estimate. Which multiplication fact in the second column can you use to
help estimate the quotient in the first column?
1. 501 7 about 40, b
a. 8 9 72
2. 745 8 about 90, a
b. 7 7 49
3. 339 6 about 50, c
c. 5 6 30
Solve.
4. 5 3
2
6 R2
5. 7 3
2
7. 8 2
7
3 R3
10. 6 3
6
7
61 R1
13. 9 1
,8
0
9
201
4 R4
6. 7 5
8
8 R2
8. 4 3
2
0
80
9. 5 3
6
6
73 R1
11. 5 3
9
0
78
12. 3 7
5
1
250 R1
14. 8 1
2
,3
4
9
1,543 R5 15. 6 2
,3
0
7
384 R3
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.
16. ABC bakery is packing 288 muffins into boxes of 6.
How many boxes will they need in order to to
pack all of the muffins?
48 boxes
17. Greg has 125 photos. Each page of his photo
album holds 6 photos. How many pages
does he need to place all of his photos?
21 pages
Math
Reasoning
Number Sense
MR 3.1
18. Roger says that the answer to this problem is wrong.
Do you agree or disagree?
6
Explain.
5R 8
38
30
8
Possible answer: I agree. The remainder (8) is larger than
the divisor (6). You should adjust the quotient.
The answer should be 6 R2.
Chapter 10 – Lesson 2
page 113
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 76
Name
…at home!
P RAC T I C E
Estimate. Which multiplication fact in the second column can you use to
help estimate the quotient in the first column?
1. 610 7 about 90, a
a. 9 7 63
2. 646 8 about 80, c
b. 7 6 42
3. 429 6 about 70, b
c. 8 8 64
Solve.
4. 5 3
5
7
5. 7 4
2
6
6. 7 5
6
8
7. 7 2
8
4
8. 4 2
8
0
70
9. 5 4
2
0
84
10. 6 4
2
0
670
11. 5 2
6
0
52
12. 3 6
4
2
214
13. 8 1
,7
6
0
220
14. 9 1
1
,4
2
1
15. 6 2
,4
0
6
401
1,269
16. Marion’s Nursery is packing 312 marigolds into packs of 6.
How many packs will they need in order to to
pack all of the marigolds?
52 packs
17. Shoji has 189 photos. Each page of his photo
album holds 6 photos. How many pages
does he need to place all of his photos?
Math
Reasoning
32 pages
Number Sense
18. Mark says that the answer to this problem is wrong.
Do you agree or disagree?
Explain.
MR 3.1
4R 5
5 25
20
5
Possible answer: I agree. You should adjust the quotient.
The answer should be 5.
page 76
Home Resource and Homework
Chapter 10 Lesson 2
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:00 Page 209
Name
P RAC T I C E
Estimate. Which multiplication fact in the second column can you use to
help estimate the quotient in the first column?
1. 501 7 about 40, b
a. 8 9 72
2. 745 8 about 90, a
b. 7 7 49
3. 339 6 about 50, c
c. 5 6 30
Solve.
4. 5 3
2
6 R2
5. 7 3
2
7. 8 2
7
3 R3
10. 6 3
6
7
61 R1
13. 9 1
,8
0
9
201
4 R4
6. 7 5
8
8 R2
8. 4 3
2
0
80
9. 5 3
6
6
73 R1
11. 5 3
9
0
78
12. 3 7
5
1
250 R1
14. 8 1
2
,3
4
9
1,543 R5 15. 6 2
,3
0
7
384 R3
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.
16. ABC bakery is packing 288 muffins into boxes of 6.
How many boxes will they need in order to to
pack all of the muffins?
48 boxes
17. Greg has 125 photos. Each page of his photo
album holds 6 photos. How many pages
does he need to place all of his photos?
21 pages
Math
Reasoning
Number Sense
MR 3.1
18. Roger says that the answer to this problem is wrong.
Do you agree or disagree?
6
Explain.
5R 8
38
30
8
Possible answer: I agree. The remainder (8) is larger than
the divisor (6). You should adjust the quotient.
The answer should be 6 R2.
Chapter 10 – Lesson 2
Student Book Page
page 113
Name
…at home!
P RAC T I C E
Estimate. Which multiplication fact in the second column can you use to
help estimate the quotient in the first column?
1. 610 7 about 90, a
a. 9 7 63
2. 646 8 about 80, c
b. 7 6 42
3. 429 6 about 70, b
c. 8 8 64
Solve.
4. 5 3
5
7
5. 7 4
2
6
6. 7 5
6
8
7. 7 2
8
4
8. 4 2
8
0
70
9. 5 4
2
0
84
10. 6 4
2
0
670
11. 5 2
6
0
52
12. 3 6
4
2
214
13. 8 1
,7
6
0
220
14. 9 1
1
,4
2
1
15. 6 2
,4
0
6
401
1,269
16. Marion’s Nursery is packing 312 marigolds into packs of 6.
How many packs will they need in order to to
pack all of the marigolds?
52 packs
17. Shoji has 189 photos. Each page of his photo
album holds 6 photos. How many pages
does he need to place all of his photos?
Math
Reasoning
32 pages
Number Sense
18. Mark says that the answer to this problem is wrong.
Do you agree or disagree?
Explain.
MR 3.1
4R 5
5 25
20
5
Possible answer: I agree. You should adjust the quotient.
The answer should be 5.
page 76
Home Resource and Homework
Chapter 10 Lesson 2
D – © CSL Associates, Inc. All rights reserved.
Solve each problem.