Division of Decimal Numbers Worksheets - Free Printable

The task involves performing decimal division for each of the given problems. Let's solve each problem step by step.

---

Problem 1: \( 59.32 \div 4 \)

#### Step-by-Step Solution:
1. Write the division as a long division problem:
\[
4 \longdiv{59.32}
\]

2. Divide the whole number part first:
- \( 59 \div 4 = 14 \) (since \( 4 \times 14 = 56 \))
- Subtract \( 56 \) from \( 59 \):
\[
59 - 56 = 3
\]

3. Bring down the next digit (3):
- Now, divide \( 33 \div 4 = 8 \) (since \( 4 \times 8 = 32 \))
- Subtract \( 32 \) from \( 33 \):
\[
33 - 32 = 1
\]

4. Bring down the next digit (2):
- Now, divide \( 12 \div 4 = 3 \) (since \( 4 \times 3 = 12 \))
- Subtract \( 12 \) from \( 12 \):
\[
12 - 12 = 0
\]

5. The quotient is \( 14.83 \).

#### Final Answer:
\[
\boxed{14.83}
\]

---

Problem 2: \( 455.8 \div 2 \)

#### Step-by-Step Solution:
1. Write the division as a long division problem:
\[
2 \longdiv{455.8}
\]

2. Divide the whole number part first:
- \( 455 \div 2 = 227 \) (since \( 2 \times 227 = 454 \))
- Subtract \( 454 \) from \( 455 \):
\[
455 - 454 = 1
\]

3. Bring down the next digit (8):
- Now, divide \( 18 \div 2 = 9 \) (since \( 2 \times 9 = 18 \))
- Subtract \( 18 \) from \( 18 \):
\[
18 - 18 = 0
\]

4. The quotient is \( 227.9 \).

#### Final Answer:
\[
\boxed{227.9}
\]

---

Problem 3: \( 57.761 \div 1 \)

#### Step-by-Step Solution:
1. Any number divided by 1 remains the same.
\[
57.761 \div 1 = 57.761
\]

#### Final Answer:
\[
\boxed{57.761}
\]

---

Problem 4: \( 16.30 \div 4 \)

#### Step-by-Step Solution:
1. Write the division as a long division problem:
\[
4 \longdiv{16.30}
\]

2. Divide the whole number part first:
- \( 16 \div 4 = 4 \) (since \( 4 \times 4 = 16 \))
- Subtract \( 16 \) from \( 16 \):
\[
16 - 16 = 0
\]

3. Bring down the next digit (3):
- Now, divide \( 30 \div 4 = 7 \) (since \( 4 \times 7 = 28 \))
- Subtract \( 28 \) from \( 30 \):
\[
30 - 28 = 2
\]

4. Bring down the next digit (0):
- Now, divide \( 20 \div 4 = 5 \) (since \( 4 \times 5 = 20 \))
- Subtract \( 20 \) from \( 20 \):
\[
20 - 20 = 0
\]

5. The quotient is \( 4.075 \).

#### Final Answer:
\[
\boxed{4.075}
\]

---

Problem 5: \( 295.4 \div 5 \)

#### Step-by-Step Solution:
1. Write the division as a long division problem:
\[
5 \longdiv{295.4}
\]

2. Divide the whole number part first:
- \( 29 \div 5 = 5 \) (since \( 5 \times 5 = 25 \))
- Subtract \( 25 \) from \( 29 \):
\[
29 - 25 = 4
\]

3. Bring down the next digit (5):
- Now, divide \( 45 \div 5 = 9 \) (since \( 5 \times 9 = 45 \))
- Subtract \( 45 \) from \( 45 \):
\[
45 - 45 = 0
\]

4. Bring down the next digit (4):
- Now, divide \( 40 \div 5 = 8 \) (since \( 5 \times 8 = 40 \))
- Subtract \( 40 \) from \( 40 \):
\[
40 - 40 = 0
\]

5. The quotient is \( 59.08 \).

#### Final Answer:
\[
\boxed{59.08}
\]

---

Problem 6: \( 55.64 \div 12 \)

#### Step-by-Step Solution:
1. Write the division as a long division problem:
\[
12 \longdiv{55.64}
\]

2. Divide the whole number part first:
- \( 55 \div 12 = 4 \) (since \( 12 \times 4 = 48 \))
- Subtract \( 48 \) from \( 55 \):
\[
55 - 48 = 7
\]

3. Bring down the next digit (6):
- Now, divide \( 76 \div 12 = 6 \) (since \( 12 \times 6 = 72 \))
- Subtract \( 72 \) from \( 76 \):
\[
76 - 72 = 4
\]

4. Bring down the next digit (4):
- Now, divide \( 44 \div 12 = 3 \) (since \( 12 \times 3 = 36 \))
- Subtract \( 36 \) from \( 44 \):
\[
44 - 36 = 8
\]

5. The quotient is \( 4.63 \) (rounded to two decimal places).

#### Final Answer:
\[
\boxed{4.63}
\]

---

Problem 7: \( 184.87 \div 7 \)

#### Step-by-Step Solution:
1. Write the division as a long division problem:
\[
7 \longdiv{184.87}
\]

2. Divide the whole number part first:
- \( 18 \div 7 = 2 \) (since \( 7 \times 2 = 14 \))
- Subtract \( 14 \) from \( 18 \):
\[
18 - 14 = 4
\]

3. Bring down the next digit (4):
- Now, divide \( 44 \div 7 = 6 \) (since \( 7 \times 6 = 42 \))
- Subtract \( 42 \) from \( 44 \):
\[
44 - 42 = 2
\]

4. Bring down the next digit (8):
- Now, divide \( 28 \div 7 = 4 \) (since \( 7 \times 4 = 28 \))
- Subtract \( 28 \) from \( 28 \):
\[
28 - 28 = 0
\]

5. Bring down the next digit (7):
- Now, divide \( 70 \div 7 = 10 \) (since \( 7 \times 10 = 70 \))
- Subtract \( 70 \) from \( 70 \):
\[
70 - 70 = 0
\]

6. The quotient is \( 26.41 \).

#### Final Answer:
\[
\boxed{26.41}
\]

---

Problem 8: \( 7.04 \div 8 \)

#### Step-by-Step Solution:
1. Write the division as a long division problem:
\[
8 \longdiv{7.04}
\]

2. Since \( 7 < 8 \), add a decimal point and bring down the next digit (0):
- Now, divide \( 70 \div 8 = 8 \) (since \( 8 \times 8 = 64 \))
- Subtract \( 64 \) from \( 70 \):
\[
70 - 64 = 6
\]

3. Bring down the next digit (4):
- Now, divide \( 64 \div 8 = 8 \) (since \( 8 \times 8 = 64 \))
- Subtract \( 64 \) from \( 64 \):
\[
64 - 64 = 0
\]

4. The quotient is \( 0.88 \).

#### Final Answer:
\[
\boxed{0.88}
\]

---

Problem 9: \( 741.5 \div 11 \)

#### Step-by-Step Solution:
1. Write the division as a long division problem:
\[
11 \longdiv{741.5}
\]

2. Divide the whole number part first:
- \( 74 \div 11 = 6 \) (since \( 11 \times 6 = 66 \))
- Subtract \( 66 \) from \( 74 \):
\[
74 - 66 = 8
\]

3. Bring down the next digit (1):
- Now, divide \( 81 \div 11 = 7 \) (since \( 11 \times 7 = 77 \))
- Subtract \( 77 \) from \( 81 \):
\[
81 - 77 = 4
\]

4. Bring down the next digit (5):
- Now, divide \( 45 \div 11 = 4 \) (since \( 11 \times 4 = 44 \))
- Subtract \( 44 \) from \( 45 \):
\[
45 - 44 = 1
\]

5. The quotient is \( 67.4 \) (rounded to one decimal place).

#### Final Answer:
\[
\boxed{67.4}
\]

---

Final Answers:

1. \( \boxed{14.83} \)
2. \( \boxed{227.9} \)
3. \( \boxed{57.761} \)
4. \( \boxed{4.075} \)
5. \( \boxed{59.08} \)
6. \( \boxed{4.63} \)
7. \( \boxed{26.41} \)
8. \( \boxed{0.88} \)
9. \( \boxed{67.4} \)