Milwaukee Brewers First-Place Clinch Scenario

Milwaukee's traditional magic number (relative to second-place Chicago) is 88 + 10 - 93 + 1 = 6.
Milwaukee's first-place clinch number is also 6.
Milwaukee must win 6 more games (99 total) to clinch first place.

If Milwaukee wins 6 more games, their final win total will be at least 99.
The table below shows the best case scenario for each of the other teams if Milwaukee wins 6 of their remaining 10 games and loses the other 4.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to Milwaukee' column gives the
minimum number of games that each team will lose to Milwaukee if Milwaukee wins 6 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Milwaukee, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Milwaukee	Maximum W
Chicago          88	64	10	               0	98
Cincinnati       76	76	10	               0	86
St. Louis        74	79	9	               0	83
Pittsburgh       65	88	9	               0	74

The table above shows that if Milwaukee wins 6 more games (99 total), then they will finish the season in first place in the division.

To see that Milwaukee's first-place clinch number cannot be less than 6, consider the following scenario in which Milwaukee wins 5 more games (98 total) but does not finish in first place:

Team             W	L	PCT	GB
Chicago          98	64	0.605	0.00
Milwaukee        98	64	0.605	0.00
St. Louis        77	85	0.475	21.00
Cincinnati       76	86	0.469	22.00
Pittsburgh       68	94	0.420	30.00

Tie breakers
Chicago wins the season series with Milwaukee 7 games to 6.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Milwaukee        93	59	10	0.612	0.0
Chicago          88	64	10	0.579	5.0
Cincinnati       76	76	10	0.500	17.0
St. Louis        74	79	9	0.484	19.5
Pittsburgh       65	88	9	0.425	28.5

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

Chicago has won the season series with Milwaukee 7 games to 6.
Chicago has won the season series with Pittsburgh 10 games to 3.
Milwaukee has won the season series with Pittsburgh 10 games to 3.
Pittsburgh has won the season series with St. Louis 7 games to 6.
St. Louis has won the season series with Cincinnati 7 games to 6.

Chicago currently has 5 wins against Cincinnati and 4 losses.
  Chicago wins 4 additional games against Cincinnati and loses 0.
  Chicago wins the series 9 games to 4

Chicago currently has 5 wins against St. Louis and 5 losses.
  Chicago wins 3 additional games against St. Louis and loses 0.
  Chicago wins the series 8 games to 5

Milwaukee currently has 7 wins against Cincinnati and 3 losses.
  Milwaukee wins 3 additional games against Cincinnati and loses 0.
  Milwaukee wins the series 10 games to 3

Pittsburgh currently has 4 wins against Cincinnati and 6 losses.
  Pittsburgh wins 3 additional games against Cincinnati and loses 0.
  Pittsburgh wins the series 7 games to 6

St. Louis currently has 4 wins against Milwaukee and 6 losses.
  St. Louis wins 3 additional games against Milwaukee and loses 0.
  St. Louis wins the series 7 games to 6

Chicago wins 3 games agains teams outside the division and loses 0.
Cincinnati wins 0 games agains teams outside the division and loses 0.
Milwaukee wins 2 games agains teams outside the division and loses 2.
Pittsburgh wins 0 games agains teams outside the division and loses 6.
St. Louis wins 0 games agains teams outside the division and loses 3.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# Milwaukee Brewers' magic number
# Milwaukee's magic number
# Brewers' magic number
# MLB Playoff Race