To solve the expression \( \frac{594}{\frac{11}{7}} \), you can follow these steps:

1. **Division by a fraction**: Dividing by a fraction is the same as multiplying by its reciprocal. So, 
   \[
   \frac{594}{\frac{11}{7}} = 594 \times \frac{7}{11}
   \]

2. **Multiply**:
   \[
   594 \times \frac{7}{11}
   \]

3. **Simplify**:
   \[
   \frac{594 \times 7}{11} = \frac{4158}{11} = 378
   \]

So, the result is \( 378 \).

Would you like more details or have any questions?

Here are some related questions:
1. How do you multiply and divide fractions?
2. What happens when you multiply a fraction by its reciprocal?
3. How can you simplify complex fractions?
4. What is the decimal equivalent of \( \frac{11}{7} \)?
5. How do you solve equations involving fractions?

**Tip:** When dividing by a fraction, always multiply by its reciprocal to simplify the calculation.

Learn how to solve the division problem 594 ÷ (11 ÷ 7) with a detailed step-by-step solution. This problem involves division by a fraction and multiplication by its reciprocal. Suitable for students in Grades 6-8.

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