Detroit does not have a first-place clinch number

Here is a scenario in which Detroit wins all 52 of their remaining games (104 total) but does not but does not clinch first place.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Chicago          63	45	54	0.583	0.0
Cleveland        52	53	57	0.495	9.5
Detroit          52	58	52	0.473	12.0
Kansas City      46	60	56	0.434	16.0
Minnesota        45	63	54	0.417	18.0

Next, we show how the remaining series of games in Detroit's division plays out in the scenario:

Chicago wins 5 games against Cleveland and loses 0.
Chicago wins 0 games against Detroit and loses 6.
Chicago wins 4 games against Kansas City and loses 0.
Chicago wins 3 games against Minnesota and loses 0.
Chicago wins 36 games against teams outside the division and loses 0.

Cleveland wins 0 games against Chicago and loses 5.
Cleveland wins 0 games against Detroit and loses 6.
Cleveland wins 0 games against Kansas City and loses 10.
Cleveland wins 10 games against Minnesota and loses 0.
Cleveland wins 26 games against teams outside the division and loses 0.

Detroit wins 6 games against Chicago and loses 0.
Detroit wins 6 games against Cleveland and loses 0.
Detroit wins 3 games against Kansas City and loses 0.
Detroit wins 4 games against Minnesota and loses 0.
Detroit wins 33 games against teams outside the division and loses 0.

Kansas City wins 0 games against Chicago and loses 4.
Kansas City wins 10 games against Cleveland and loses 0.
Kansas City wins 0 games against Detroit and loses 3.
Kansas City wins 6 games against Minnesota and loses 0.
Kansas City wins 33 games against teams outside the division and loses 0.

Minnesota wins 0 games against Chicago and loses 3.
Minnesota wins 0 games against Cleveland and loses 10.
Minnesota wins 0 games against Detroit and loses 4.
Minnesota wins 0 games against Kansas City and loses 6.
Minnesota wins 31 games against teams outside the division and loses 0.

Combining the current standings with the wins and losses from the scenario results in the following final standings:
TEAM             W	L	GL	PCT
Chicago          111	51	0.685	0.0
Detroit          104	58	0.642	7.0
Kansas City      95	67	0.586	16.0
Cleveland        88	74	0.543	23.0
Minnesota        76	86	0.469	35.0

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