Decimal Division Worksheets 6th Grade - Free Printable

Problem: Dividing Decimals

The task is to solve each division problem involving decimals. Here are the steps and solutions for each problem:

---

#### 1. \( 1 \div 1.69 \)

- Step 1: Since the divisor is already a whole number (1), we can directly divide.
- Step 2: Perform the division: \( 1 \div 1.69 \).
- Step 3: To simplify, rewrite it as \( \frac{1}{1.69} \). Multiply numerator and denominator by 100 to eliminate the decimal:
\[
\frac{1}{1.69} = \frac{1 \times 100}{1.69 \times 100} = \frac{100}{169}
\]
- Step 4: Perform the division \( 100 \div 169 \):
\[
100 \div 169 \approx 0.5917
\]

Answer: \( \boxed{0.5917} \)

---

#### 2. \( 1 \div 17.75 \)

- Step 1: Rewrite the division as \( \frac{1}{17.75} \).
- Step 2: Eliminate the decimal by multiplying numerator and denominator by 100:
\[
\frac{1}{17.75} = \frac{1 \times 100}{17.75 \times 100} = \frac{100}{1775}
\]
- Step 3: Perform the division \( 100 \div 1775 \):
\[
100 \div 1775 \approx 0.0563
\]

Answer: \( \boxed{0.0563} \)

---

#### 3. \( 0.4 \div 10.69 \)

- Step 1: Rewrite the division as \( \frac{0.4}{10.69} \).
- Step 2: Eliminate the decimals by multiplying numerator and denominator by 100:
\[
\frac{0.4}{10.69} = \frac{0.4 \times 100}{10.69 \times 100} = \frac{40}{1069}
\]
- Step 3: Perform the division \( 40 \div 1069 \):
\[
40 \div 1069 \approx 0.0374
\]

Answer: \( \boxed{0.0374} \)

---

#### 4. \( 0.2 \div 12.1 \)

- Step 1: Rewrite the division as \( \frac{0.2}{12.1} \).
- Step 2: Eliminate the decimals by multiplying numerator and denominator by 10:
\[
\frac{0.2}{12.1} = \frac{0.2 \times 10}{12.1 \times 10} = \frac{2}{121}
\]
- Step 3: Perform the division \( 2 \div 121 \):
\[
2 \div 121 \approx 0.0165
\]

Answer: \( \boxed{0.0165} \)

---

#### 5. \( 0.5 \div 18.16 \)

- Step 1: Rewrite the division as \( \frac{0.5}{18.16} \).
- Step 2: Eliminate the decimals by multiplying numerator and denominator by 100:
\[
\frac{0.5}{18.16} = \frac{0.5 \times 100}{18.16 \times 100} = \frac{50}{1816}
\]
- Step 3: Perform the division \( 50 \div 1816 \):
\[
50 \div 1816 \approx 0.0275
\]

Answer: \( \boxed{0.0275} \)

---

#### 6. \( 0.1 \div 2.19 \)

- Step 1: Rewrite the division as \( \frac{0.1}{2.19} \).
- Step 2: Eliminate the decimals by multiplying numerator and denominator by 100:
\[
\frac{0.1}{2.19} = \frac{0.1 \times 100}{2.19 \times 100} = \frac{10}{219}
\]
- Step 3: Perform the division \( 10 \div 219 \):
\[
10 \div 219 \approx 0.0457
\]

Answer: \( \boxed{0.0457} \)

---

#### 7. \( 0.1 \div 0.32 \)

- Step 1: Rewrite the division as \( \frac{0.1}{0.32} \).
- Step 2: Eliminate the decimals by multiplying numerator and denominator by 100:
\[
\frac{0.1}{0.32} = \frac{0.1 \times 100}{0.32 \times 100} = \frac{10}{32}
\]
- Step 3: Simplify the fraction \( \frac{10}{32} \):
\[
\frac{10}{32} = \frac{5}{16}
\]
- Step 4: Perform the division \( 5 \div 16 \):
\[
5 \div 16 = 0.3125
\]

Answer: \( \boxed{0.3125} \)

---

#### 8. \( 0.6 \div 8.4 \)

- Step 1: Rewrite the division as \( \frac{0.6}{8.4} \).
- Step 2: Eliminate the decimals by multiplying numerator and denominator by 10:
\[
\frac{0.6}{8.4} = \frac{0.6 \times 10}{8.4 \times 10} = \frac{6}{84}
\]
- Step 3: Simplify the fraction \( \frac{6}{84} \):
\[
\frac{6}{84} = \frac{1}{14}
\]
- Step 4: Perform the division \( 1 \div 14 \):
\[
1 \div 14 \approx 0.0714
\]

Answer: \( \boxed{0.0714} \)

---

#### 9. \( 0.6 \div 5.7 \)

- Step 1: Rewrite the division as \( \frac{0.6}{5.7} \).
- Step 2: Eliminate the decimals by multiplying numerator and denominator by 10:
\[
\frac{0.6}{5.7} = \frac{0.6 \times 10}{5.7 \times 10} = \frac{6}{57}
\]
- Step 3: Simplify the fraction \( \frac{6}{57} \):
\[
\frac{6}{57} = \frac{2}{19}
\]
- Step 4: Perform the division \( 2 \div 19 \):
\[
2 \div 19 \approx 0.1053
\]

Answer: \( \boxed{0.1053} \)

---

#### 10. \( 1.7 \div 11.9 \)

- Step 1: Rewrite the division as \( \frac{1.7}{11.9} \).
- Step 2: Eliminate the decimals by multiplying numerator and denominator by 10:
\[
\frac{1.7}{11.9} = \frac{1.7 \times 10}{11.9 \times 10} = \frac{17}{119}
\]
- Step 3: Simplify the fraction \( \frac{17}{119} \):
\[
\frac{17}{119} = \frac{1}{7}
\]
- Step 4: Perform the division \( 1 \div 7 \):
\[
1 \div 7 \approx 0.1429
\]

Answer: \( \boxed{0.1429} \)

---

#### 11. \( 0.4 \div 3.1 \)

- Step 1: Rewrite the division as \( \frac{0.4}{3.1} \).
- Step 2: Eliminate the decimals by multiplying numerator and denominator by 10:
\[
\frac{0.4}{3.1} = \frac{0.4 \times 10}{3.1 \times 10} = \frac{4}{31}
\]
- Step 3: Perform the division \( 4 \div 31 \):
\[
4 \div 31 \approx 0.1290
\]

Answer: \( \boxed{0.1290} \)

---

#### 12. \( 0.6 \div 4.26 \)

- Step 1: Rewrite the division as \( \frac{0.6}{4.26} \).
- Step 2: Eliminate the decimals by multiplying numerator and denominator by 100:
\[
\frac{0.6}{4.26} = \frac{0.6 \times 100}{4.26 \times 100} = \frac{60}{426}
\]
- Step 3: Simplify the fraction \( \frac{60}{426} \):
\[
\frac{60}{426} = \frac{10}{71}
\]
- Step 4: Perform the division \( 10 \div 71 \):
\[
10 \div 71 \approx 0.1408
\]

Answer: \( \boxed{0.1408} \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 0.5917 \\
2. & 0.0563 \\
3. & 0.0374 \\
4. & 0.0165 \\
5. & 0.0275 \\
6. & 0.0457 \\
7. & 0.3125 \\
8. & 0.0714 \\
9. & 0.1053 \\
10. & 0.1429 \\
11. & 0.1290 \\
12. & 0.1408 \\
\end{array}
}
\]