Long Division of Decimal Numbers by whole numbers - Math ... - Free Printable

To solve the division problems involving decimals and find the quotient up to 3 decimal places, we will perform each division step by step. Let's go through each problem:

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Problem 1: \( 6 \div 0.03 \)

#### Step-by-Step Solution:
1. Rewrite the division as a fraction: \( \frac{6}{0.03} \).
2. To eliminate the decimal in the denominator, multiply both the numerator and the denominator by 100:
\[
\frac{6}{0.03} = \frac{6 \times 100}{0.03 \times 100} = \frac{600}{3}
\]
3. Perform the division:
\[
600 \div 3 = 200
\]

#### Final Answer:
\[
\boxed{200.000}
\]

---

Problem 2: \( 9 \div 6.831 \)

#### Step-by-Step Solution:
1. Rewrite the division as a fraction: \( \frac{9}{6.831} \).
2. To eliminate the decimal in the denominator, multiply both the numerator and the denominator by 1000:
\[
\frac{9}{6.831} = \frac{9 \times 1000}{6.831 \times 1000} = \frac{9000}{6831}
\]
3. Perform the division:
\[
9000 \div 6831 \approx 1.317
\]

#### Final Answer:
\[
\boxed{1.317}
\]

---

Problem 3: \( 7 \div 2.604 \)

#### Step-by-Step Solution:
1. Rewrite the division as a fraction: \( \frac{7}{2.604} \).
2. To eliminate the decimal in the denominator, multiply both the numerator and the denominator by 1000:
\[
\frac{7}{2.604} = \frac{7 \times 1000}{2.604 \times 1000} = \frac{7000}{2604}
\]
3. Perform the division:
\[
7000 \div 2604 \approx 2.688
\]

#### Final Answer:
\[
\boxed{2.688}
\]

---

Problem 4: \( 4 \div 9.36 \)

#### Step-by-Step Solution:
1. Rewrite the division as a fraction: \( \frac{4}{9.36} \).
2. To eliminate the decimal in the denominator, multiply both the numerator and the denominator by 100:
\[
\frac{4}{9.36} = \frac{4 \times 100}{9.36 \times 100} = \frac{400}{936}
\]
3. Perform the division:
\[
400 \div 936 \approx 0.427
\]

#### Final Answer:
\[
\boxed{0.427}
\]

---

Problem 5: \( 4 \div 892.9 \)

#### Step-by-Step Solution:
1. Rewrite the division as a fraction: \( \frac{4}{892.9} \).
2. To eliminate the decimal in the denominator, multiply both the numerator and the denominator by 10:
\[
\frac{4}{892.9} = \frac{4 \times 10}{892.9 \times 10} = \frac{40}{8929}
\]
3. Perform the division:
\[
40 \div 8929 \approx 0.004
\]

#### Final Answer:
\[
\boxed{0.004}
\]

---

Problem 6: \( 7 \div 4.256 \)

#### Step-by-Step Solution:
1. Rewrite the division as a fraction: \( \frac{7}{4.256} \).
2. To eliminate the decimal in the denominator, multiply both the numerator and the denominator by 1000:
\[
\frac{7}{4.256} = \frac{7 \times 1000}{4.256 \times 1000} = \frac{7000}{4256}
\]
3. Perform the division:
\[
7000 \div 4256 \approx 1.643
\]

#### Final Answer:
\[
\boxed{1.643}
\]

---

Problem 7: \( 3 \div 0.036 \)

#### Step-by-Step Solution:
1. Rewrite the division as a fraction: \( \frac{3}{0.036} \).
2. To eliminate the decimal in the denominator, multiply both the numerator and the denominator by 1000:
\[
\frac{3}{0.036} = \frac{3 \times 1000}{0.036 \times 1000} = \frac{3000}{36}
\]
3. Perform the division:
\[
3000 \div 36 \approx 83.333
\]

#### Final Answer:
\[
\boxed{83.333}
\]

---

Problem 8: \( 3 \div 0.81 \)

#### Step-by-Step Solution:
1. Rewrite the division as a fraction: \( \frac{3}{0.81} \).
2. To eliminate the decimal in the denominator, multiply both the numerator and the denominator by 100:
\[
\frac{3}{0.81} = \frac{3 \times 100}{0.81 \times 100} = \frac{300}{81}
\]
3. Perform the division:
\[
300 \div 81 \approx 3.704
\]

#### Final Answer:
\[
\boxed{3.704}
\]

---

Problem 9: \( 7 \div 50.421 \)

#### Step-by-Step Solution:
1. Rewrite the division as a fraction: \( \frac{7}{50.421} \).
2. To eliminate the decimal in the denominator, multiply both the numerator and the denominator by 1000:
\[
\frac{7}{50.421} = \frac{7 \times 1000}{50.421 \times 1000} = \frac{7000}{50421}
\]
3. Perform the division:
\[
7000 \div 50421 \approx 0.139
\]

#### Final Answer:
\[
\boxed{0.139}
\]

---

Final Answers:

1. \( \boxed{200.000} \)
2. \( \boxed{1.317} \)
3. \( \boxed{2.688} \)
4. \( \boxed{0.427} \)
5. \( \boxed{0.004} \)
6. \( \boxed{1.643} \)
7. \( \boxed{83.333} \)
8. \( \boxed{3.704} \)
9. \( \boxed{0.139} \)