1. **State the problem:** Calculate the value of the expression $\frac{0.5 \times 9.8 - 2.4}{0.5}$.\n\n2. **Apply the order of operations:** First, multiply $0.5$ by $9.8$.\n\n3. Calculate the numerator: $$0.5 \times 9.8 = 4.9$$\n\n4. Subtract $2.4$ from $4.9$: $$4.9 - 2.4 = 2.5$$\n\n5. Divide the result by $0.5$: $$\frac{2.5}{0.5} = 5$$\n\n**Final answer:** $5$