[runn1ng]

I don't want to run it locally.

I want to share docs with the internet, or with a small team, have integrated history, have instant editing, have the possibility of more people editing it. I want to have instant access to it from any computer with a browser.

Etherpad sort of does that, but not 100%.

[harshreality]

Except for continuous editing or live visibility of edits in progress, that's a lot like a wiki with wysiwyg editing. http://www.mediawiki.org/wiki/Extension:WYSIWYG

You could probably extend wikis like mediawiki to have live visibility of edits, at the cost of performance. Separate db or redis storage for in-progress edits, and query that before retrieving the last static version of the page...