I think you are evaluating (6.59x10^-22 / 1.38) x 10^-23 rather than (6.59x10^-22) / (1.38x10^-23) as required.
How are you doing the evaluation? I did it using the EE or Exp button on my calculator, which enters scientific notation directly (as a single number). If you enter it as written (multiplication by a power), you need the parentheses to force it to treat the denominator as a whole.
Note that the notation you wrote is a technical violation of the order of operations, because it can be inferred that the denominator is (1.38x10^-23), though no parentheses are used as properly required.