Pulling base card sets

We have setup stacks of all the base cards (162).  Task is to pull one of each to collate a base set.  Rinse. Repeat.

We’re trying different methods to collate base sets.  First method was to take a handful of one card, then deal out one into each box bin.  Then pick up a stack of the next card, and deal that one out.  Repeat 162 times.   This second method, walk around pulling one of each, seems to be faster, which surprised me.