Practice worksheet for dividing decimals, featuring ten problems with various decimal numbers and whole numbers.

Problem: Solve the division problems involving decimals.

The task involves dividing decimals. Here's how to approach each problem step by step:

---

#### 1) \( 81 \div 0.9 \)

- Step 1: Convert the divisor (0.9) into a whole number by multiplying both the dividend and divisor by 10.
\[
81 \div 0.9 = \frac{81 \times 10}{0.9 \times 10} = \frac{810}{9}
\]
- Step 2: Perform the division:
\[
810 \div 9 = 90
\]

Answer: \( 90 \)

---

#### 2) \( 0.016 \div 0.02 \)

- Step 1: Convert the divisor (0.02) into a whole number by multiplying both the dividend and divisor by 100.
\[
0.016 \div 0.02 = \frac{0.016 \times 100}{0.02 \times 100} = \frac{1.6}{2}
\]
- Step 2: Perform the division:
\[
1.6 \div 2 = 0.8
\]

Answer: \( 0.8 \)

---

#### 3) \( 1.86 \div 3 \)

- Step 1: Divide directly since the divisor is already a whole number.
\[
1.86 \div 3 = 0.62
\]

Answer: \( 0.62 \)

---

#### 4) \( 20.86 \div 0.2 \)

- Step 1: Convert the divisor (0.2) into a whole number by multiplying both the dividend and divisor by 10.
\[
20.86 \div 0.2 = \frac{20.86 \times 10}{0.2 \times 10} = \frac{208.6}{2}
\]
- Step 2: Perform the division:
\[
208.6 \div 2 = 104.3
\]

Answer: \( 104.3 \)

---

#### 5) \( 10.47 \div 0.03 \)

- Step 1: Convert the divisor (0.03) into a whole number by multiplying both the dividend and divisor by 100.
\[
10.47 \div 0.03 = \frac{10.47 \times 100}{0.03 \times 100} = \frac{1047}{3}
\]
- Step 2: Perform the division:
\[
1047 \div 3 = 349
\]

Answer: \( 349 \)

---

#### 6) \( 6.3 \div 7 \)

- Step 1: Divide directly since the divisor is already a whole number.
\[
6.3 \div 7 = 0.9
\]

Answer: \( 0.9 \)

---

#### 7) \( 23.580 \div 0.20 \)

- Step 1: Convert the divisor (0.20) into a whole number by multiplying both the dividend and divisor by 100.
\[
23.580 \div 0.20 = \frac{23.580 \times 100}{0.20 \times 100} = \frac{2358}{2}
\]
- Step 2: Perform the division:
\[
2358 \div 2 = 1179
\]

Answer: \( 1179 \)

---

#### 8) \( 11.5213 \div 0.7 \)

- Step 1: Convert the divisor (0.7) into a whole number by multiplying both the dividend and divisor by 10.
\[
11.5213 \div 0.7 = \frac{11.5213 \times 10}{0.7 \times 10} = \frac{115.213}{7}
\]
- Step 2: Perform the division:
\[
115.213 \div 7 = 16.459
\]

Answer: \( 16.459 \)

---

#### 9) \( 1.2642 \div 0.003 \)

- Step 1: Convert the divisor (0.003) into a whole number by multiplying both the dividend and divisor by 1000.
\[
1.2642 \div 0.003 = \frac{1.2642 \times 1000}{0.003 \times 1000} = \frac{1264.2}{3}
\]
- Step 2: Perform the division:
\[
1264.2 \div 3 = 421.4
\]

Answer: \( 421.4 \)

---

#### 10) \( 20 \div 0.005 \)

- Step 1: Convert the divisor (0.005) into a whole number by multiplying both the dividend and divisor by 1000.
\[
20 \div 0.005 = \frac{20 \times 1000}{0.005 \times 1000} = \frac{20000}{5}
\]
- Step 2: Perform the division:
\[
20000 \div 5 = 4000
\]

Answer: \( 4000 \)

---

Final Answers:

\[
\boxed{
\begin{aligned}
1) & \, 90 \\
2) & \, 0.8 \\
3) & \, 0.62 \\
4) & \, 104.3 \\
5) & \, 349 \\
6) & \, 0.9 \\
7) & \, 1179 \\
8) & \, 16.459 \\
9) & \, 421.4 \\
10) & \, 4000
\end{aligned}
}
\]