Yep, it does sound like disassociation to me as well.

You can hear words coming out of your mouth, but you aren't cognitively aware of the thought process. As you shower, your body parts seem so far away as you sub-conciously wash up. The strangest sensation...rather uncomfortable imo.

One of the medications that I take is to prevent more dissociation from occurring. I'd recommend talking with your doctor about it.