Five-Minute Check (over Lesson 4–3)

Main Idea

Example 1:Divide by a Two-Digit Number

Example 2:Division with a Remainder

Example 3:Divide by Two-Digit Numbers

• I will divide up to a three-digit number by a two-digit number.

Divide by a Two-Digit Number

How many cartons are needed to hold 384 eggs if each carton holds 12 eggs?

Find 12 384.

Estimate 384 ÷ 12 400 ÷ 10 = 40

Divide by a Two-Digit Number

Step 1Divide the tens.

Divide: 38 ÷ 12Multiply: 3 × 12Subtract: 38 – 36Compare: 2 < 12

12 384– 36

2

Step 2Divide the ones.

Bring down the ones.Divide: 24 ÷ 12Multiply: 2 × 12Subtract: 24 – 24

4

12 384– 36

2

33

– 240

Compare: 0 < 12

2

Answer: So, 32 cartons are needed to hold 384 eggs. Since 32 is close to the estimate, the answer is reasonable.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 38 crates

B. 41 crates

C. 45 crates

D. 51 crates

How many crates are needed to hold 984 cartons of milk if each crate holds 24 cartons?

Division with a Remainder

Find 764 ÷ 40.

Step 1Divide the tens.

Divide: 76 ÷ 40Multiply: 1 × 40Subtract: 76 – 40Compare: 36 < 40

40 764– 40

36

Step 2Divide the ones.

Bring down the ones.Divide: 364 ÷ 40Multiply: 9 × 40Subtract: 364 – 360

4

40 764– 40

36

11

– 3604

Compare: 4 < 40

9

Estimate 764 ÷ 40 800 ÷ 40 = 20

R4

Division with a Remainder

Answer: So, 764 ÷ 40 is 19 R4.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 28 R12

B. 30 R11

C. 32 R12

D. 35 R8

Find 852 ÷ 30.

Divide by Two-Digit Numbers

Duena worked at the library 312 hours last year. If she worked the same number of hours each month, how many hours did she work each month?

To solve, find 312 ÷ 12. 1 year = 12 months

Estimate 312 ÷ 12 300 ÷ 10 = 30

Divide by Two-Digit Numbers

Step 1Divide the tens.

Divide: 31 ÷ 12Multiply: 2 × 12Subtract: 31 – 24Compare: 7 < 12

12 312– 24

7

Step 2Divide the ones.

Bring down the ones.Divide: 72 ÷ 12Multiply: 6 × 12Subtract: 72 – 72

2

12 312– 24

7

22

– 720

Compare: 0 < 12

6

Answer: So, Duena worked at the library 26 hours each month.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 26

B. 31

C. 36

D. 41

Find 540 ÷ 15.

End of the Lesson

Five-Minute Check (over Lesson 4–3)

Image Bank

Math Tool Chest

Interpret the Remainder

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 4–3)

A. 28

B. 32

C. 35

D. 29

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 4–3)

A. 154

B. 145

C. 245

D. 152

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 4–3)

A. 64

B. 72

C. 71

D. 65

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 4–3)

A. 64 R4

B. 64 R2

C. 64 R3

D. 63 R2

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 4–3)

A. 226

B. 227

C. 228

D. 229

Find 912 ÷ 4.

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 4–3)

A. 21 R4

B. 22 R2

C. 23

D. 24

Find 168 ÷ 7.

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 4–3)

A. 95 R2

B. 96 R1

C. 96 R2

D. 97 R1

Find 577 ÷ 6.

1. A

2. B

3. C

4. D0% 0%0%0%

(over Lesson 4–3)

A. 111 R2

B. 111 R4

C. 112 R2

D. 112 R4

Find 892 ÷ 8.