I use the Instapaper browser bookmarklet to add tabs one at a time from my browser into the service.

I then use Instapaper's Kindle integration to read a set of articles delivered via email, and then use the "Archive All" and "Download Newest" links built into the delivery to manually fetch more articles when I'm finished with all the articles in the set.

I add more webpages to Instapaper than I read, and I just treat it like a stack, never to get to the older saved items.