> 'Stripping away' is just division in another form...
I'd say that the terms "stripping away" and "division" are being used in slightly confusing ways here, and I'm not sure if "stripping away" is "division in another form". But I guess that's not your point. Anyhow, you started off this thread by essentially saying something like "experience varies, so it can be endlessly subdivided", and someone else chirped in with "Yeah, that's basically Dennett's point of view." I want to emphasize that variation in experience doesn't lead to endless subdivision, nor does Dennett make this claim.
Regarding the idea of "qualia over time", I think that sounds like an interesting line of thought. Let's just assume that qualia have some atomic structure -- an experience particle, if you will. Maybe it exists in the other half of some Cartesian reality. Well, much like an electron persists over time (perhaps varying states along the way), I don't see why this imagined "qualia particle" cannot exist over time without requiring us to subdivide it indefinitely.
Of course, I find this idea of "qualia particles" to be ridiculous and I bet you do too. It's just a tool to point out that persistence over time doesn't require indefinite subdivision.
> Right, intuitively, we feel there is something more to the process of experience. I get that. Yet many things we conceptualize don't work in an intuitive fashion. Why do we require experience to?
I don't think that our intuition about experience is the last word on qualia. On this point, I'm in complete agreement with Dennett.
EDIT: This whole issue of divisibility is a massive red-herring anyhow. The stanford encyclopedia does a much better job of defining qualia: http://plato.stanford.edu/entries/qualia/ .