To divide \( 3.2 \times 10^4 \) by \( 4.82 \times 10^{12} \), you can divide the coefficients and subtract the exponents of the powers of ten.
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Divide the coefficients: \[ \frac{3.2}{4.82} \approx 0.663 \]
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Subtract the exponents: \[ 10^{4 - 12} = 10^{-8} \]
Putting it all together, we have: \[ \frac{3.2 \times 10^4}{4.82 \times 10^{12}} \approx 0.663 \times 10^{-8} \]
To express this in standard scientific notation: \[ 0.663 \times 10^{-8} = 6.63 \times 10^{-9} \]
Thus, the result of the division is: \[ \boxed{6.63 \times 10^{-9}} \]