1. The problem is to solve for $z$ in the equation $z \div 7 = 8$. 2. The division equation can be rewritten as a multiplication equation using the property that dividing by a number is the same as multiplying by its reciprocal. So, $z \div 7 = 8$ is equivalent to $z = 8 \times 7$. 3. Multiply both sides by 7 to isolate $z$: $$z = 8 \times 7$$ 4. Calculate the multiplication: $$z = 56$$ 5. Therefore, the solution is $z = 56$. This means that when 56 is divided by 7, the result is 8, which satisfies the original equation.