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.