Detroit Tigers First-Place Elimination Scenario
Detroit must win 0 more games (85 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Detroit finishes in first place with 85 wins:

Team             W	L	PCT	GB
Detroit          85	77	0.525	0.00
Cleveland        84	78	0.519	1.00
Kansas City      83	79	0.512	2.00
Minnesota        73	89	0.451	12.00
Chicago          60	102	0.370	25.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Detroit          85	66	11	0.563	0.0
Cleveland        79	71	12	0.527	5.5
Kansas City      75	76	11	0.497	10.0
Minnesota        66	85	11	0.437	19.0
Chicago          57	95	10	0.375	28.5

Next, we show how the remaining series of games plays out in the scenario:

Chicago currently has 2 win(s) against Cleveland and 11 loss(es).
Chicago and Cleveland have no remaining games.
Chicago loses the series 2 games to 11.
Chicago wins 3 additional game(s) against teams outside the division and loses 7.

Chicago currently has 5 win(s) against Detroit and 8 loss(es).
Chicago and Detroit have no remaining games.
Chicago loses the series 5 games to 8.
Chicago wins 3 additional game(s) against teams outside the division and loses 7.

Chicago currently has 3 win(s) against Kansas City and 10 loss(es).
Chicago and Kansas City have no remaining games.
Chicago loses the series 3 games to 10.
Chicago wins 3 additional game(s) against teams outside the division and loses 7.

Chicago currently has 8 win(s) against Minnesota and 5 loss(es).
Chicago and Minnesota have no remaining games.
Chicago wins the series 8 games to 5.
Chicago wins 3 additional game(s) against teams outside the division and loses 7.

Cleveland currently has 4 win(s) against Detroit and 4 loss(es).
Cleveland wins 5 additional game(s) against Detroit and loses 0.
Cleveland wins the series 9 games to 4.
Cleveland wins 0 additional game(s) against teams outside the division and loses 3.

Cleveland currently has 8 win(s) against Kansas City and 5 loss(es).
Cleveland and Kansas City have no remaining games.
Cleveland wins the series 8 games to 5.
Cleveland wins 0 additional game(s) against teams outside the division and loses 3.

Cleveland currently has 6 win(s) against Minnesota and 3 loss(es).
Cleveland wins 0 additional game(s) against Minnesota and loses 4.
Cleveland loses the series 6 games to 7.
Cleveland wins 0 additional game(s) against teams outside the division and loses 3.

Detroit currently has 9 win(s) against Kansas City and 4 loss(es).
Detroit and Kansas City have no remaining games.
Detroit wins the series 9 games to 4.
Detroit wins 0 additional game(s) against teams outside the division and loses 6.

Detroit currently has 8 win(s) against Minnesota and 5 loss(es).
Detroit and Minnesota have no remaining games.
Detroit wins the series 8 games to 5.
Detroit wins 0 additional game(s) against teams outside the division and loses 6.

Kansas City currently has 7 win(s) against Minnesota and 6 loss(es).
Kansas City and Minnesota have no remaining games.
Kansas City wins the series 7 games to 6.
Kansas City wins 8 additional game(s) against teams outside the division and loses 3.

# Detroit Tigers' magic number
# Detroit's magic number
# Tigers' magic number
# MLB Playoff Race