With Hillary's defeat, Obama remains the titular head of the Democrat party. Which is why I believe Obama is not unhappy about the outcome...and may have, in fact, worked behind the scenes to achieve it.
Clearly, Obama intends to use the party as a tool to further his agenda...and to keep Trump from furthering his. OnceTrump starts dismantling Obama's "legacy", it's going to get vicious.
So, you damn right, Obama is going to be "the most divisive figure on the political scene" over the next four years.
Obama will be the most divisive figure over the next 30 years.