12) long division with remainders , dividing 3-digit Math ... - Free Printable

Problem: Solve the long division problems with remainders for each of the given divisions.

The task involves performing long division for each of the following problems:

1. \( 2 \div 501 \)
2. \( 4 \div 409 \)
3. \( 3 \div 188 \)
4. \( 4 \div 915 \)
5. \( 3 \div 160 \)
6. \( 4 \div 673 \)
7. \( 3 \div 211 \)
8. \( 9 \div 124 \)
9. \( 9 \div 852 \)
10. \( 6 \div 373 \)
11. \( 8 \div 749 \)
12. \( 5 \div 463 \)

Solution:

#### 1. \( 2 \div 501 \)
- Dividend: 501
- Divisor: 2

Perform long division:
- 2 goes into 5 two times (2 × 2 = 4).
- Subtract: 5 - 4 = 1.
- Bring down the next digit (0): 10.
- 2 goes into 10 five times (2 × 5 = 10).
- Subtract: 10 - 10 = 0.
- Bring down the next digit (1): 1.
- 2 goes into 1 zero times.
- Remainder: 1.

Quotient: 250
Remainder: 1

#### 2. \( 4 \div 409 \)
- Dividend: 409
- Divisor: 4

Perform long division:
- 4 goes into 4 one time (4 × 1 = 4).
- Subtract: 4 - 4 = 0.
- Bring down the next digit (0): 0.
- 4 goes into 0 zero times.
- Bring down the next digit (9): 9.
- 4 goes into 9 two times (4 × 2 = 8).
- Subtract: 9 - 8 = 1.

Quotient: 102
Remainder: 1

#### 3. \( 3 \div 188 \)
- Dividend: 188
- Divisor: 3

Perform long division:
- 3 goes into 1 zero times.
- Bring down the next digit (8): 18.
- 3 goes into 18 six times (3 × 6 = 18).
- Subtract: 18 - 18 = 0.
- Bring down the next digit (8): 8.
- 3 goes into 8 two times (3 × 2 = 6).
- Subtract: 8 - 6 = 2.

Quotient: 62
Remainder: 2

#### 4. \( 4 \div 915 \)
- Dividend: 915
- Divisor: 4

Perform long division:
- 4 goes into 9 two times (4 × 2 = 8).
- Subtract: 9 - 8 = 1.
- Bring down the next digit (1): 11.
- 4 goes into 11 two times (4 × 2 = 8).
- Subtract: 11 - 8 = 3.
- Bring down the next digit (5): 35.
- 4 goes into 35 eight times (4 × 8 = 32).
- Subtract: 35 - 32 = 3.

Quotient: 228
Remainder: 3

#### 5. \( 3 \div 160 \)
- Dividend: 160
- Divisor: 3

Perform long division:
- 3 goes into 1 zero times.
- Bring down the next digit (6): 16.
- 3 goes into 16 five times (3 × 5 = 15).
- Subtract: 16 - 15 = 1.
- Bring down the next digit (0): 10.
- 3 goes into 10 three times (3 × 3 = 9).
- Subtract: 10 - 9 = 1.

Quotient: 53
Remainder: 1

#### 6. \( 4 \div 673 \)
- Dividend: 673
- Divisor: 4

Perform long division:
- 4 goes into 6 one time (4 × 1 = 4).
- Subtract: 6 - 4 = 2.
- Bring down the next digit (7): 27.
- 4 goes into 27 six times (4 × 6 = 24).
- Subtract: 27 - 24 = 3.
- Bring down the next digit (3): 33.
- 4 goes into 33 eight times (4 × 8 = 32).
- Subtract: 33 - 32 = 1.

Quotient: 168
Remainder: 1

#### 7. \( 3 \div 211 \)
- Dividend: 211
- Divisor: 3

Perform long division:
- 3 goes into 2 zero times.
- Bring down the next digit (1): 21.
- 3 goes into 21 seven times (3 × 7 = 21).
- Subtract: 21 - 21 = 0.
- Bring down the next digit (1): 1.
- 3 goes into 1 zero times.

Quotient: 70
Remainder: 1

#### 8. \( 9 \div 124 \)
- Dividend: 124
- Divisor: 9

Perform long division:
- 9 goes into 1 zero times.
- Bring down the next digit (2): 12.
- 9 goes into 12 one time (9 × 1 = 9).
- Subtract: 12 - 9 = 3.
- Bring down the next digit (4): 34.
- 9 goes into 34 three times (9 × 3 = 27).
- Subtract: 34 - 27 = 7.

Quotient: 13
Remainder: 7

#### 9. \( 9 \div 852 \)
- Dividend: 852
- Divisor: 9

Perform long division:
- 9 goes into 8 zero times.
- Bring down the next digit (5): 85.
- 9 goes into 85 nine times (9 × 9 = 81).
- Subtract: 85 - 81 = 4.
- Bring down the next digit (2): 42.
- 9 goes into 42 four times (9 × 4 = 36).
- Subtract: 42 - 36 = 6.

Quotient: 94
Remainder: 6

#### 10. \( 6 \div 373 \)
- Dividend: 373
- Divisor: 6

Perform long division:
- 6 goes into 3 zero times.
- Bring down the next digit (7): 37.
- 6 goes into 37 six times (6 × 6 = 36).
- Subtract: 37 - 36 = 1.
- Bring down the next digit (3): 13.
- 6 goes into 13 two times (6 × 2 = 12).
- Subtract: 13 - 12 = 1.

Quotient: 62
Remainder: 1

#### 11. \( 8 \div 749 \)
- Dividend: 749
- Divisor: 8

Perform long division:
- 8 goes into 7 zero times.
- Bring down the next digit (4): 74.
- 8 goes into 74 nine times (8 × 9 = 72).
- Subtract: 74 - 72 = 2.
- Bring down the next digit (9): 29.
- 8 goes into 29 three times (8 × 3 = 24).
- Subtract: 29 - 24 = 5.

Quotient: 93
Remainder: 5

#### 12. \( 5 \div 463 \)
- Dividend: 463
- Divisor: 5

Perform long division:
- 5 goes into 4 zero times.
- Bring down the next digit (6): 46.
- 5 goes into 46 nine times (5 × 9 = 45).
- Subtract: 46 - 45 = 1.
- Bring down the next digit (3): 13.
- 5 goes into 13 two times (5 × 2 = 10).
- Subtract: 13 - 10 = 3.

Quotient: 92
Remainder: 3

Final Answers:

\[
\boxed{
\begin{array}{lll}
2 \div 501 & : & 250 \text{ R } 1 \\
4 \div 409 & : & 102 \text{ R } 1 \\
3 \div 188 & : & 62 \text{ R } 2 \\
4 \div 915 & : & 228 \text{ R } 3 \\
3 \div 160 & : & 53 \text{ R } 1 \\
4 \div 673 & : & 168 \text{ R } 1 \\
3 \div 211 & : & 70 \text{ R } 1 \\
9 \div 124 & : & 13 \text{ R } 7 \\
9 \div 852 & : & 94 \text{ R } 6 \\
6 \div 373 & : & 62 \text{ R } 1 \\
8 \div 749 & : & 93 \text{ R } 5 \\
5 \div 463 & : & 92 \text{ R } 3 \\
\end{array}
}
\]