House Majority Leader Steve Scalise and Rep. Jim Jordan both jumped into the race Wednesday to become the next House speaker, setting up a fight to replace Kevin McCarthy after his historic ouster.

House Republicans are even more bitterly divided in the aftermath of House Speaker Kevin McCarthy’s ouster and his decision not to run again. It remains to be seen whether the conference can coalesce around a viable successor to the California Republican.

The stakes are extremely high as Congress faces down a looming shutdown deadline in mid-November. The House is essentially paralyzed while it lacks a speaker.