I mostly use a carbon steel pan for cooking and I do the same thing, minus throwing it back on the heat (I don't have a gas stove and generally eat before cleaning up so the element is cold by then). I need to pickup one of those bamboo brushes. I imagine they're better at scraping off the stuck bits than the nylon ones I normally use.

Also, Kenji is my favorite youtube chef. His recipes are all so simple, flexible, and delicious!