1. The problem is to evaluate the expression \(6 \div \frac{2}{8}\) using modulo arithmetic. 2. First, understand the division of fractions: dividing by a fraction is the same as multiplying by its reciprocal. 3. So, \(6 \div \frac{2}{8} = 6 \times \frac{8}{2}\). 4. Simplify \(\frac{8}{2} = 4\). 5. Multiply: \(6 \times 4 = 24\). 6. If a modulo operation is intended, we need a modulus value to compute \(24 \bmod m\). Since no modulus is given, the result is \(24\). 7. Therefore, \(6 \div \frac{2}{8} = 24\) without a specified modulus.