1. **State the problem:** Evaluate the division of fractions $$\frac{2}{7} \div \frac{8}{3}$$. 2. **Recall the rule for dividing fractions:** To divide by a fraction, multiply by its reciprocal. Formula: $$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$ 3. **Apply the formula:** $$\frac{2}{7} \div \frac{8}{3} = \frac{2}{7} \times \frac{3}{8}$$ 4. **Multiply the numerators and denominators:** $$\frac{2 \times 3}{7 \times 8} = \frac{6}{56}$$ 5. **Simplify the fraction:** Find the greatest common divisor (GCD) of 6 and 56, which is 2. $$\frac{\cancel{2} \times 3}{7 \times \cancel{8}} = \frac{3}{28}$$ 6. **Final answer:** $$\frac{2}{7} \div \frac{8}{3} = \frac{3}{28}$$ This is a proper fraction as required.