1997 MIT Mystery Hunt Puzzle 18 Solution

The division answers are:

          5776
      --------
2826 /16324763
      14130
      -----
       21947
       19782
       -----
        21656
        19782
        -----
         18743
         16956
         -----
          1787


          437
      ------
1682 /735905
      6728
      ----
       6310
       5046
       ----
       12645
       11774
       -----
         871


        5602
     -------
723 /4050903
     3615
     ----
      4359
      4338
      ----
        2103
        1446
        ----
         657


          37
      ------
4827 /179075
      14481
      -----
       34265
       33789
       -----
         476


        3386
     -------
947 /3206825
     2841
     ----
      3658
      2841
      ----
       8172
       7576
       ----
        5965
        5682
        ----
         283


         349
      ------
1821 /635934
      5463
      ----
       8963
       7284
       ----
       16794
       16389
       -----
         405


        792
     ------
723 /573268
     5061
     ----
      6716
      6507
      ----
       2098
       1446
       ----
        652

The flavor text says his wife needed the phone number of the KOA Memphis-Graceland, and only had a word, the area code, and these division problems. This phone number is still (13 years after this Hunt was run) 901 396 7125. The arrangement of the puzzles into a row of 3 and then a row of 4 suggests she was to get one digit of the last 7 phone digits from each problem. Do this in reverse to get a letter from each problem using the letters corresponding to 3967125, and this gives the answer, SOBERED.