A, 35÷3= 1 1 (package) ... 2 (pieces), this method can't be finished just because there is surplus;

B, 35÷4=8 (bag) ... 3 (piece), this method can't be filled just because there is surplus;

C, 35÷5=7 (bag), this method has just been finished and there is no surplus;

D, 35÷6=5 (bag) ... 5 (piece). This method cannot be finished just because there is surplus.

So choose: C.