Divide. \[ \frac{3 \times 10^{6}}{6 \times 10^{3}} \]

To divide the expression \( \frac{3 \times 10^{6}}{6 \times 10^{3}} \), start by dividing the coefficients (the numbers in front) and then divide the powers of ten separately. 1. Divide the coefficients: \[ \frac{3}{6} = \frac{1}{2} \] 2. Now divide the powers of ten: \[ \frac{10^{6}}{10^{3}} = 10^{6-3} = 10^{3} \] Putting it all together, we have: \[ \frac{3 \times 10^{6}}{6 \times 10^{3}} = \frac{1}{2} \times 10^{3} = \frac{10^{3}}{2} \] Now, to express \( \frac{10^{3}}{2} \) as a decimal, calculate: \[ \frac{1000}{2} = 500 \] Thus, the final answer is: \[ 500 \]