yeah it isn't as complicated as it is convoluted.
there are no divisional winners, play-off spot contentions like an 8-8 team making it into the playoffs over a 10-6 team because they won the division while the 10-6 team missed out on tie breakers for the wildcard spots...
the football/soccer table is easy, have the most points at the end of the season and you win. finish in the top 6 and you can qualify for additional "tournaments" that are played concurrent to your season. so for a few months in the fall and spring you will be playing a league game on sat/sun and a "tourney" game on tuesday/wednesday. the bigger tournaments are usually broken down into group stages and then brackets(but with draws rather than seedings), the league tourneys are basically bracket "style".
a cool feature is that once you are in the Champions League and Europa league, if you win either of the 2(you can only compete in 1 or the other) then at the beginning of the next season you play a Champions cup match against the winner of the other league tournament.(Last year Chelsea won Europa and Bayern Munich won Champions League, they played this August with Bayern winning in PKs 2-2(5-4 on pks))
it's kinda like a better version of the NCAA. I'll use Texas as my example, Texas plays a 12 game season, they are competing for 3 different "titles". the big 12 title by winning conference games and winning the Big12. the National Title by being ranked #1 in the polls at the end of the season(a stretch I know). and finally the BCS National title by winning the BCS national title game. except, they are all going on at the same time.