Calculate a) 71.056 X 9.1837 b) 53.24 / 9.351

The characteristic of $\log(27.52)$ is 1 (since there are two digits before the decimal point, $2-1=1$).
Using a logarithm table or calculator, the mantissa for 27.52 is approximately 0.4396.
So, $\log(27.52) = 1.4396$.

The power is 2.

The characteristic is 2, which means the number will have $2+1=3$ digits before the decimal point.
The mantissa is 0.8792.
Using an antilogarithm table or calculator, the antilog of 0.8792 is approximately 7.572.
Therefore, $N = 7.572 \times 10^2 = 757.2$.

We can present this in a table format similar to your notes:

The final answer is $\boxed{757.2}$.