Here's my attempt at this.....
For the in-divisional games we can choose any 2 of 7 teams in any division = (7, 2) = 21 unique pairings
Since each unique pair plays twice....this gives 2 * 21 = 42 games played within one division
And since there are 2 divisions...this gives us 2 * 42 = 84 in-divsional games
And since every team in plays every team in the other divsion once this gives us 7 * 7 = 49 more games
So...the total games played are 84 + 49 = 133 games