1. The problem is to evaluate the expression: 8 divided by 2 and 4/5. 2. First, interpret "2 and 4/5" as the mixed number $2 \frac{4}{5}$. 3. Convert the mixed number to an improper fraction: $$2 \frac{4}{5} = \frac{2 \times 5 + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5}$$ 4. Now, the expression becomes: $$8 \div \frac{14}{5}$$ 5. Dividing by a fraction is the same as multiplying by its reciprocal: $$8 \times \frac{5}{14}$$ 6. Multiply the numerators and denominators: $$\frac{8 \times 5}{14} = \frac{40}{14}$$ 7. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 2: $$\frac{40 \div 2}{14 \div 2} = \frac{20}{7}$$ 8. The final answer is the improper fraction $\frac{20}{7}$, or as a mixed number: $$2 \frac{6}{7}$$