I've written about a certain little-known role of division in mathematics before, so when a friend recently posted an article I enjoyed (having posted a link to it here before), I was pleasantly surprised while re-reading to see that Cohl Furey is also intrigued by division... in a way that sorta links to my own observation. Take a look at this highlighted snippet, from this article:
Then if you're brave, take a look at my recent adventure with division in a blog post I made a month ago. It's pretty far out there. Have fun.
[Edit, a little later, after more review of Clifford Algebras, I'm finding a lot of overlap with many of my own private meditations. Furey uses Clifford Algebras, so it looks like I'm going to have a lot of fun studying this when time permits.]