The activities of the Divergence before their exile by Rassilon are unknown. However, after their exile to the Divergent Universe, they promptly set themselves up as its dominant species and set to work trying to break the cycle of death and rebirth. This included setting up a base of operations on the planet Caerdroia, and constructing the "crucible world" of Bortresoye to conduct their experiments.
The Divergence got their revenge on Rassilon for destroying their future when he also was banished into the Divergent Universe. There, the Divergence subjected him to the torments of the cycle which he had created at least eighty-four times. (AUDIO: The Next Life)
In Cardington in 1951, Doctor Stone and Reverend Townsend opened a doorway to the Divergent Universe during a military experiment. The Divergence/Keep attempted to escape, but the portal failed before they reached it, killing Stone and Townsend.
Near the end of time, approximately sixty billion years in the future, "Uncle Winky's Wonderland" (an amusement park) had been built over Rassilon's Foundry, which held the deteriorating main portal to the Divergent Universe. Again the Divergence/Keep attempted to escape, but the portal was closed by Uncle Winky before they could get through. (AUDIO: Zagreus)
Eventually the cycle somehow caused the Divergence to wither and die but they were then absorbed by the creature known as Daqar Keep, who subsequently absorbed all their power and assumed their authority in the Divergent Universe. (AUDIO: The Next Life)