First, determine how much volume is needed if it was 100% nitric acid.
So 12.5 g HNO3 * (1 mL/1.41 g) = 8.87 mL.
But since the solution is 71% HNO3, you must divide 8.87 mL by 0.71.
This will give you 12.5 mL. 71% of 12.5 is 8.87 mL, which is the volume of HNO3 needed. That's why you divide 8.87 by 0.71.