Washington Nationals First-Place Clinch Scenario

Washington does not have a first-place clinch number

Here is a scenario in which Washington wins all 13 of their remaining games (81 total) but does not but does not clinch first place.

Team             W	L	PCT	GB
Atlanta          93	69	0.574	0.00
Philadelphia     86	76	0.531	7.00
Washington       81	81	0.500	12.00
Miami            79	83	0.488	14.00
NYMets           75	87	0.463	18.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Atlanta          87	61	14	0.588	0.0
Philadelphia     82	66	14	0.554	5.0
Miami            72	76	14	0.486	15.0
NYMets           68	79	15	0.463	18.5
Washington       68	81	13	0.456	19.5

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

Atlanta has won the season series with Washington 9 games to 4.
Miami has won the season series with Washington 9 games to 4.
NYMets has won the season series with Atlanta 7 games to 6.
NYMets has won the season series with Miami 7 games to 6.
Philadelphia has won the season series with Miami 8 games to 5.

Atlanta currently has 8 wins against Miami and 2 losses.
  Atlanta wins 0 additional games against Miami and loses 3.
  Atlanta wins the series 8 games to 5

Atlanta currently has 8 wins against Philadelphia and 3 losses.
  Atlanta wins 0 additional games against Philadelphia and loses 2.
  Atlanta wins the series 8 games to 5

Philadelphia currently has 5 wins against NYMets and 4 losses.
  Philadelphia wins 2 additional games against NYMets and loses 2.
  Philadelphia wins the series 7 games to 6

Philadelphia currently has 8 wins against Washington and 3 losses.
  Philadelphia wins 0 additional games against Washington and loses 2.
  Philadelphia wins the series 8 games to 5

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

Atlanta wins 6 games agains teams outside the division and loses 3.
Miami wins 4 games agains teams outside the division and loses 7.
NYMets wins 5 games agains teams outside the division and loses 3.
Philadelphia wins 0 games agains teams outside the division and loses 6.
Washington wins 8 games agains teams outside the division and loses 0.

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