1. The problem is to divide the fraction $\frac{8}{3}$ by the whole number 4. 2. The formula for dividing a fraction by a whole number is: $$\frac{a}{b} \div c = \frac{a}{b} \times \frac{1}{c} = \frac{a}{b \times c}$$ 3. Applying the formula: $$\frac{8}{3} \div 4 = \frac{8}{3} \times \frac{1}{4} = \frac{8}{3 \times 4} = \frac{8}{12}$$ 4. Simplify the fraction $\frac{8}{12}$ by dividing numerator and denominator by their greatest common divisor, which is 4: $$\frac{8 \div 4}{12 \div 4} = \frac{2}{3}$$ 5. Therefore, the final answer is $\frac{2}{3}$.