Thanks to everybody who gave me suggestions about the stack. I'd like to add a 
final comment about why I think the stack is useful in this case.

Imagine you are going to chop up a carrot to cook it. There are 2 ways you 
might go about the job: the first is to cut off a piece and then turn and put 
it into the pan ready to cook. Keep doing this, cutting one piece at a time, 
turning and putting each piece of carrot into the pan until there is no carrot 
left. The second way is to cut the carrot into pieces and then put all of the 
pieces into the pan as a single operation.

I see the second way as analagous to using the stack. Do all the dividing then 
put all the values into the data structure as a single operation. I do not see 
this as using the stack as a data structure; just a convenient holding pen.
                                          
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