A student writes:

  Dear Professor Patt,

    Hi, this is *************  again with another question about the 
    programming assignment.  Does our program need to 
    be able to handle a division 
    like 3/4, i.e., what should it do if the numerator is less than the 
    denominator? Should the answer be 0 for the division?  
    What would the modulo 
    be?  My computer science teacher did not teach 
    modulo very well- that might be 
    why I am confused about this.  Is the 
    remainder 3, or 4, or 1?  Or is it really 
    easy and I'm just not thinking right?  Thanks!

    Sincerely,
    <<name withheld ...>>

The best way to think of idiv (integer division) and modulo (remainder) is 
in terms of long division.  Remember doing long division?  Third grade, I 
think.  you write down the dividend, and the divisor (both integers), and 
you crank.  Suppose you stop when the next iteration would produce a digit 
to the right of the decimal point.

You end up with a quotient and a remainder.  Both are integers.

The quotient is the result of idiv.
The remainder is the result of modulo.

    So, for example:  256/19

                       
	                     13.
 	                   -----
		       19 | 256.
		            19
		            --
		             66
		             57
		             --
		              9
              
	      But we stop here, because the next digit generated would be to the right
	      of the decimal point.  Quotient is 13, Remainder is 9.


Question: What is the maximum value that the modulo operator can produce? (i.e., 
what is the maximum remainder you can have in a long division?)

Question: Minimum value?
	   
So, then 3/4.  What is result of idiv?  What is result of modulo?

Yale Patt