Detroit Tigers First-Place Elimination Scenario
Detroit must win 24 more games (46 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Detroit finishes in first place with 46 wins:

Team             W	L	PCT	GB
Detroit          46	116	0.284	0.00
Cleveland        46	116	0.284	0.00
Kansas City      45	117	0.278	1.00
Minnesota        45	117	0.278	1.00
Chicago          45	117	0.278	1.00

Tie breakers
Detroit wins the series with Cleveland 9 games to 4

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Cleveland        34	26	102	0.567	0.0
Chicago          31	27	104	0.534	2.0
Minnesota        27	32	103	0.458	6.5
Kansas City      22	36	104	0.379	11.0
Detroit          22	37	103	0.373	11.5

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

Chicago currently has 0 win(s) against Cleveland and 0 loss(es).
Chicago wins 2 additional game(s) against Cleveland and loses 11.
Chicago loses the series 2 games to 11.
Chicago wins 0 additional game(s) against teams outside the division and loses 65.

Chicago currently has 2 win(s) against Detroit and 0 loss(es).
Chicago wins 11 additional game(s) against Detroit and loses 0.
Chicago wins the series 13 games to 0.
Chicago wins 0 additional game(s) against teams outside the division and loses 65.

Chicago currently has 5 win(s) against Kansas City and 2 loss(es).
Chicago wins 0 additional game(s) against Kansas City and loses 6.
Chicago loses the series 5 games to 8.
Chicago wins 0 additional game(s) against teams outside the division and loses 65.

Chicago currently has 3 win(s) against Minnesota and 1 loss(es).
Chicago wins 1 additional game(s) against Minnesota and loses 8.
Chicago loses the series 4 games to 9.
Chicago wins 0 additional game(s) against teams outside the division and loses 65.

Cleveland currently has 4 win(s) against Detroit and 0 loss(es).
Cleveland wins 0 additional game(s) against Detroit and loses 9.
Cleveland loses the series 4 games to 9.
Cleveland wins 1 additional game(s) against teams outside the division and loses 63.

Cleveland currently has 4 win(s) against Kansas City and 3 loss(es).
Cleveland wins 0 additional game(s) against Kansas City and loses 6.
Cleveland loses the series 4 games to 9.
Cleveland wins 1 additional game(s) against teams outside the division and loses 63.

Cleveland currently has 1 win(s) against Minnesota and 2 loss(es).
Cleveland wins 0 additional game(s) against Minnesota and loses 10.
Cleveland loses the series 1 games to 12.
Cleveland wins 1 additional game(s) against teams outside the division and loses 63.

Detroit currently has 4 win(s) against Kansas City and 2 loss(es).
Detroit wins 6 additional game(s) against Kansas City and loses 1.
Detroit wins the series 10 games to 3.
Detroit wins 0 additional game(s) against teams outside the division and loses 67.

Detroit currently has 0 win(s) against Minnesota and 4 loss(es).
Detroit wins 9 additional game(s) against Minnesota and loses 0.
Detroit wins the series 9 games to 4.
Detroit wins 0 additional game(s) against teams outside the division and loses 67.

Kansas City currently has 2 win(s) against Minnesota and 1 loss(es).
Kansas City wins 10 additional game(s) against Minnesota and loses 0.
Kansas City wins the series 12 games to 1.
Kansas City wins 0 additional game(s) against teams outside the division and loses 75.

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