Answer
$8.69\times10^{-2}$
Work Step by Step
$0.0588\div0.677=0.086853$
For division, the factor with the least number of significant figures determines the significant figures in the result. In this case that number is 3 so round the result to 3 significant digits.
$0.086853\approx0.0869$
Rewrite 0.0869 in scientific notation. To express 0.0869 as a number between 1 and 10 the decimal is moved 2 places to the right so the exponent is -2.
$8230=8.23\times10^{3}$