Detroit Tigers First-Place Eliminiation Scenario
Detroit must win 2 more games (61 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Detroit finishes in first place with 61 wins:

Team             W	L	PCT	GB
Detroit          61	101	0.377	0.00
Kansas City      61	101	0.377	0.00
Cleveland        60	102	0.370	1.00
Chicago          59	103	0.364	2.00
Minnesota        58	104	0.358	3.00

Tie breakers
Detroit wins the series with Kansas City 7 games to 6

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Detroit          59	38	65	0.608	0.0
Minnesota        47	49	66	0.490	11.5
Kansas City      47	50	65	0.485	12.0
Cleveland        46	49	67	0.484	12.0
Chicago          32	65	65	0.330	27.0

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

Chicago currently has 1 win(s) against Cleveland and 6 loss(es).
Chicago wins 6 additional game(s) against Cleveland and loses 0.
Chicago wins the series 7 games to 6.
Chicago wins 2 additional game(s) against teams outside the division and loses 38.

Chicago currently has 2 win(s) against Detroit and 5 loss(es).
Chicago wins 6 additional game(s) against Detroit and loses 0.
Chicago wins the series 8 games to 5.
Chicago wins 2 additional game(s) against teams outside the division and loses 38.

Chicago currently has 2 win(s) against Kansas City and 5 loss(es).
Chicago wins 6 additional game(s) against Kansas City and loses 0.
Chicago wins the series 8 games to 5.
Chicago wins 2 additional game(s) against teams outside the division and loses 38.

Chicago currently has 2 win(s) against Minnesota and 4 loss(es).
Chicago wins 7 additional game(s) against Minnesota and loses 0.
Chicago wins the series 9 games to 4.
Chicago wins 2 additional game(s) against teams outside the division and loses 38.

Cleveland currently has 3 win(s) against Detroit and 4 loss(es).
Cleveland wins 6 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 41.

Cleveland currently has 4 win(s) against Kansas City and 2 loss(es).
Cleveland wins 3 additional game(s) against Kansas City and loses 4.
Cleveland wins the series 7 games to 6.
Cleveland wins 0 additional game(s) against teams outside the division and loses 41.

Cleveland currently has 4 win(s) against Minnesota and 2 loss(es).
Cleveland wins 5 additional game(s) against Minnesota and loses 2.
Cleveland wins the series 9 games to 4.
Cleveland wins 0 additional game(s) against teams outside the division and loses 41.

Detroit currently has 5 win(s) against Kansas City and 2 loss(es).
Detroit wins 2 additional game(s) against Kansas City and loses 4.
Detroit wins the series 7 games to 6.
Detroit wins 0 additional game(s) against teams outside the division and loses 40.

Detroit currently has 4 win(s) against Minnesota and 2 loss(es).
Detroit wins 0 additional game(s) against Minnesota and loses 7.
Detroit loses the series 4 games to 9.
Detroit wins 0 additional game(s) against teams outside the division and loses 40.

Kansas City currently has 4 win(s) against Minnesota and 3 loss(es).
Kansas City wins 4 additional game(s) against Minnesota and loses 2.
Kansas City wins the series 8 games to 5.
Kansas City wins 2 additional game(s) against teams outside the division and loses 38.

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