When doing stoichiometric conversions, think "what do I need?" Since the end-point needs to be "grams hemoglobin/mol," I'm going to invert the ".335g Fe/100g hem." the word-problem presents to have grams of hemoglobin in the numerator. Then plug in what you have (keeping in mind that the numerator/denominator should cancel one of the preceding denominators/numerators). And remember a mol has 6.022 x 1023 molecules!
100g hem. 55.84g Fe 1 mol Fe 4 molecules Fe 6.022 x 1023 molecules hem.
.335g Fe mol Fe 6.022 x 1023 molecules Fe 1 molecule hem. 1 mol hem.
Good luck on the exam!