1. **State the problem:** Find the quotient of $6.208 \times 10^9$ and $9.7 \times 10^4$ expressed in scientific notation. 2. **Recall the formula for division of numbers in scientific notation:** $$\frac{a \times 10^m}{b \times 10^n} = \left(\frac{a}{b}\right) \times 10^{m-n}$$ 3. **Apply the formula:** $$\frac{6.208 \times 10^9}{9.7 \times 10^4} = \left(\frac{6.208}{9.7}\right) \times 10^{9-4} = \left(\frac{6.208}{9.7}\right) \times 10^5$$ 4. **Calculate the division of the coefficients:** $$\frac{6.208}{9.7} \approx 0.64$$ 5. **Since the coefficient is less than 1, adjust it to proper scientific notation by multiplying by 10 and decreasing the exponent by 1:** $$0.64 \times 10^5 = 6.4 \times 10^{5-1} = 6.4 \times 10^4$$ 6. **Final answer:** $$6.4 \times 10^4$$ **Note:** The user's answer $6.02 \times 10^5$ is incorrect based on the calculation above.