Detroit Tigers First-Place Elimination Scenario
Detroit must win 11 more games (74 total) to avoid elimination from first place.
Here are the final standings in a scenario in which Detroit finishes in first place with 74 wins:

Team             W	L	PCT	GB
Detroit          74	88	0.457	0.00
ChicagoWhiteSox  74	88	0.457	0.00
KansasCity       73	89	0.451	1.00
Minnesota        73	89	0.451	1.00
Cleveland        73	89	0.451	1.00

Tie breakers
Detroit wins the series with ChicagoWhiteSox 7 games to 6

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
ChicagoWhiteSox  72	65	25	0.526	0.0
Cleveland        69	68	25	0.504	3.0
Minnesota        66	72	24	0.478	6.5
Detroit          63	74	25	0.460	9.0
KansasCity       62	76	24	0.449	10.5

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

ChicagoWhiteSox currently has 6 win(s) against Cleveland and 4 loss(es).
ChicagoWhiteSox wins 2 additional game(s) against Cleveland and loses 1.
ChicagoWhiteSox wins the series 8 games to 5.
ChicagoWhiteSox wins 0 additional game(s) against teams outside the division and loses 12.

ChicagoWhiteSox currently has 6 win(s) against Detroit and 3 loss(es).
ChicagoWhiteSox wins 0 additional game(s) against Detroit and loses 4.
ChicagoWhiteSox loses the series 6 games to 7.
ChicagoWhiteSox wins 0 additional game(s) against teams outside the division and loses 12.

ChicagoWhiteSox currently has 7 win(s) against KansasCity and 3 loss(es).
ChicagoWhiteSox wins 0 additional game(s) against KansasCity and loses 3.
ChicagoWhiteSox wins the series 7 games to 6.
ChicagoWhiteSox wins 0 additional game(s) against teams outside the division and loses 12.

ChicagoWhiteSox currently has 6 win(s) against Minnesota and 4 loss(es).
ChicagoWhiteSox wins 0 additional game(s) against Minnesota and loses 3.
ChicagoWhiteSox loses the series 6 games to 7.
ChicagoWhiteSox wins 0 additional game(s) against teams outside the division and loses 12.

Cleveland currently has 7 win(s) against Detroit and 2 loss(es).
Cleveland wins 1 additional game(s) against Detroit and loses 3.
Cleveland wins the series 8 games to 5.
Cleveland wins 0 additional game(s) against teams outside the division and loses 12.

Cleveland currently has 5 win(s) against KansasCity and 5 loss(es).
Cleveland wins 0 additional game(s) against KansasCity and loses 3.
Cleveland loses the series 5 games to 8.
Cleveland wins 0 additional game(s) against teams outside the division and loses 12.

Cleveland currently has 4 win(s) against Minnesota and 6 loss(es).
Cleveland wins 2 additional game(s) against Minnesota and loses 1.
Cleveland loses the series 6 games to 7.
Cleveland wins 0 additional game(s) against teams outside the division and loses 12.

Detroit currently has 6 win(s) against KansasCity and 7 loss(es).
Detroit and KansasCity have no remaining games.
Detroit loses the series 6 games to 7.
Detroit wins 1 additional game(s) against teams outside the division and loses 11.

Detroit currently has 2 win(s) against Minnesota and 6 loss(es).
Detroit wins 3 additional game(s) against Minnesota and loses 2.
Detroit loses the series 5 games to 8.
Detroit wins 1 additional game(s) against teams outside the division and loses 11.

KansasCity currently has 8 win(s) against Minnesota and 5 loss(es).
KansasCity and Minnesota have no remaining games.
KansasCity wins the series 8 games to 5.
KansasCity wins 5 additional game(s) against teams outside the division and loses 13.

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