Question: (7.956 \times 10^7) \div (5.2 \times 10^2)
1. **State the problem:** We need to calculate the value of $$\frac{7.956 \times 10^7}{5.2 \times 10^2}$$.
2. **Recall the rule for division of numbers in scientific notation:**
$$\frac{a \times 10^m}{b \times 10^n} = \frac{a}{b} \times 10^{m-n}$$
3. **Apply the rule:**
$$\frac{7.956 \times 10^7}{5.2 \times 10^2} = \frac{7.956}{5.2} \times 10^{7-2} = \frac{7.956}{5.2} \times 10^5$$
4. **Divide the coefficients:**
$$\frac{7.956}{5.2} = 1.53$$
5. **Combine the result:**
$$1.53 \times 10^5$$
6. **Final answer:**
$$\boxed{1.53 \times 10^5}$$