In a new statement following the vote to remove McCarthy, House Democratic leader Hakeem Jeffries said, "It is our hope that traditional Republicans will walk away from MAGA extremism and join us in partnership for the good of the country."

Jeffries led his minority in voting against McCarthy along with the eight Republicans who ensured the speaker lost his role.

Separately, out of the White House, Biden press secretary Karine Jean-Pierre said the president is is hoping the House will "quickly elect a Speaker" and that he "looks forward to working together with them."

Rep. Patrick McHenry, a Republican from North Carolina, was quickly named as speaker pro tempore of the House on Tuesday after McCarthy was voted out.

What does that title mean? It's quite simply somebody designated to preside over the House when the speaker is unable to do so.

After September 11, the House adopted a new rule making it possible to have a speaker pro tempore even if the speaker of the House is unable to name one -- or the speakership suddenly becomes vacant.

The rule was adopted as a measure to ensure "continuity of government" -- so that Congress would not be paralyzed after a terrorist attack. A speaker pro tempore has the power to lead, to pass emergency measures and even a declaration of war.

The position is supposed to be temporary, but there is no explicit limit on how temporary or when a new election must be held to elect a permanent speaker.

But, for now anyway, Republicans are operating on the premise that the House can convene and function even without an elected speaker.

One thing driving the temporary nature of this situation: The speaker of the House is in the line of presidential succession; the speaker pro tempore is not.

-ABC News Chief Washington Correspondent Jonathan Karl

Senate Republicans are overwhelmingly admonishing their House colleagues for allowing McCarthy's speakership to be vacated, calling it a "sad day."

Sen. John Cornyn of Texas said ousting McCarthy was a "disgraceful" move by a small group of House conservatives.

"These insurgents have no plan," Cornyn said. "And now they've created even more chaos and it's not good for the House, it's not good for Republicans," he said.

A visibly miffed Sen. Roger Wicker of Mississippi agreed: "It stinks, and it's bad for the country."

Republicans are the minority party in the Senate. With a much more favorable map on the horizon in 2024, some now worry the dysfunction in the House will be a distraction for voters.

-ABC News' Allison Pecorin

The White House confirmed late Tuesday afternoon that President Joe Biden saw the developments in the House, but the administration is declining to weigh in on congressional politics.

Instead, aides said Biden is focused on governing and they pointed to the announcement earlier Tuesday on drugmakers agreeing to take part in Medicare negotiations.

-ABC News' Justin Gomez

The House has canceled votes for the remainder of the week, according to Majority Whip Tom Emmer.

GOP sources say that Speaker Pro Tempore Patrick McHenry told party members during a Tuesday night conference meeting that the House is expected to recess until Oct. 10 -- and the plan is to hold a speaker candidate forum that day and then a vote for a permanent speaker on Oct. 11.

House Majority Leader Steve Scalise appears to be emerging from the closed-door conference meeting as the front-runner to replace McCarthy.

Both House Republican Conference Chair Elise Stefanik and Emmer indicated they're not running for speaker.

It's unclear if Scalise has enough support to succeed, but he spoke to reporters as he walked back to his office.

"We have a lot of work to get done, but I haven't made any formal announcement," Scalise, R-La., said.

"Clearly within our conference, we have a very tight majority," he acknowledged. "Getting things that done is going to be difficult in the tight majority. It's still will be so no matter who's going to be the next speaker, the challenges still remain, but I think the opportunity is there to continue moving forward."

Asked whether he is physically up to the job as speaker as he continues treatment for blood cancer, Scalise said, "I feel great."