Long Division Worksheets for 5th Grade - Free Printable

Problem: Division of 4-Digit Numbers by 2-Digit Numbers with No Remainders

The task is to divide each of the given 4-digit numbers by a 2-digit number, ensuring there are no remainders. Let's solve each problem step by step.

---

#### 1) \( 15 \div 4215 \)

- Dividend: 4215
- Divisor: 15

Perform the division:

1. How many times does 15 fit into 42?
\( 15 \times 2 = 30 \) (fits 2 times)
Subtract: \( 42 - 30 = 12 \)

2. Bring down the next digit (1):
Now we have 121.
How many times does 15 fit into 121?
\( 15 \times 8 = 120 \) (fits 8 times)
Subtract: \( 121 - 120 = 1 \)

3. Bring down the next digit (5):
Now we have 15.
How many times does 15 fit into 15?
\( 15 \times 1 = 15 \) (fits 1 time)
Subtract: \( 15 - 15 = 0 \)

The quotient is \( 281 \).

Answer: \( 281 \)

---

#### 2) \( 24 \div 3168 \)

- Dividend: 3168
- Divisor: 24

Perform the division:

1. How many times does 24 fit into 31?
\( 24 \times 1 = 24 \) (fits 1 time)
Subtract: \( 31 - 24 = 7 \)

2. Bring down the next digit (6):
Now we have 76.
How many times does 24 fit into 76?
\( 24 \times 3 = 72 \) (fits 3 times)
Subtract: \( 76 - 72 = 4 \)

3. Bring down the next digit (8):
Now we have 48.
How many times does 24 fit into 48?
\( 24 \times 2 = 48 \) (fits 2 times)
Subtract: \( 48 - 48 = 0 \)

The quotient is \( 132 \).

Answer: \( 132 \)

---

#### 3) \( 43 \div 1333 \)

- Dividend: 1333
- Divisor: 43

Perform the division:

1. How many times does 43 fit into 133?
\( 43 \times 3 = 129 \) (fits 3 times)
Subtract: \( 133 - 129 = 4 \)

2. Bring down the next digit (3):
Now we have 43.
How many times does 43 fit into 43?
\( 43 \times 1 = 43 \) (fits 1 time)
Subtract: \( 43 - 43 = 0 \)

The quotient is \( 31 \).

Answer: \( 31 \)

---

#### 4) \( 26 \div 6214 \)

- Dividend: 6214
- Divisor: 26

Perform the division:

1. How many times does 26 fit into 62?
\( 26 \times 2 = 52 \) (fits 2 times)
Subtract: \( 62 - 52 = 10 \)

2. Bring down the next digit (1):
Now we have 101.
How many times does 26 fit into 101?
\( 26 \times 3 = 78 \) (fits 3 times)
Subtract: \( 101 - 78 = 23 \)

3. Bring down the next digit (4):
Now we have 234.
How many times does 26 fit into 234?
\( 26 \times 9 = 234 \) (fits 9 times)
Subtract: \( 234 - 234 = 0 \)

The quotient is \( 239 \).

Answer: \( 239 \)

---

#### 5) \( 35 \div 1715 \)

- Dividend: 1715
- Divisor: 35

Perform the division:

1. How many times does 35 fit into 171?
\( 35 \times 4 = 140 \) (fits 4 times)
Subtract: \( 171 - 140 = 31 \)

2. Bring down the next digit (5):
Now we have 315.
How many times does 35 fit into 315?
\( 35 \times 9 = 315 \) (fits 9 times)
Subtract: \( 315 - 315 = 0 \)

The quotient is \( 49 \).

Answer: \( 49 \)

---

#### 6) \( 14 \div 8218 \)

- Dividend: 8218
- Divisor: 14

Perform the division:

1. How many times does 14 fit into 82?
\( 14 \times 5 = 70 \) (fits 5 times)
Subtract: \( 82 - 70 = 12 \)

2. Bring down the next digit (1):
Now we have 121.
How many times does 14 fit into 121?
\( 14 \times 8 = 112 \) (fits 8 times)
Subtract: \( 121 - 112 = 9 \)

3. Bring down the next digit (8):
Now we have 98.
How many times does 14 fit into 98?
\( 14 \times 7 = 98 \) (fits 7 times)
Subtract: \( 98 - 98 = 0 \)

The quotient is \( 587 \).

Answer: \( 587 \)

---

#### 7) \( 41 \div 2665 \)

- Dividend: 2665
- Divisor: 41

Perform the division:

1. How many times does 41 fit into 266?
\( 41 \times 6 = 246 \) (fits 6 times)
Subtract: \( 266 - 246 = 20 \)

2. Bring down the next digit (5):
Now we have 205.
How many times does 41 fit into 205?
\( 41 \times 5 = 205 \) (fits 5 times)
Subtract: \( 205 - 205 = 0 \)

The quotient is \( 65 \).

Answer: \( 65 \)

---

#### 8) \( 37 \div 5550 \)

- Dividend: 5550
- Divisor: 37

Perform the division:

1. How many times does 37 fit into 55?
\( 37 \times 1 = 37 \) (fits 1 time)
Subtract: \( 55 - 37 = 18 \)

2. Bring down the next digit (5):
Now we have 185.
How many times does 37 fit into 185?
\( 37 \times 5 = 185 \) (fits 5 times)
Subtract: \( 185 - 185 = 0 \)

3. Bring down the next digit (0):
Now we have 0.
How many times does 37 fit into 0?
\( 0 \div 37 = 0 \)

The quotient is \( 150 \).

Answer: \( 150 \)

---

#### 9) \( 24 \div 7224 \)

- Dividend: 7224
- Divisor: 24

Perform the division:

1. How many times does 24 fit into 72?
\( 24 \times 3 = 72 \) (fits 3 times)
Subtract: \( 72 - 72 = 0 \)

2. Bring down the next digit (2):
Now we have 02.
How many times does 24 fit into 2?
\( 0 \div 24 = 0 \)

3. Bring down the next digit (4):
Now we have 24.
How many times does 24 fit into 24?
\( 24 \times 1 = 24 \) (fits 1 time)
Subtract: \( 24 - 24 = 0 \)

The quotient is \( 301 \).

Answer: \( 301 \)

---

Final Answers:

\[
\boxed{281, 132, 31, 239, 49, 587, 65, 150, 301}
\]