Don't have any dutch ovens, but I have a good suite of cast iron skillets. The second-to-largest (10" dia, a.k.a. "three hamburger patty" size) has been used enough that the bottom is a glass smooth finish.

I'm always amazed at the amount of BS floating around the internet about "proper care of your cast iron". Nearly all of them are "Do not use soap!" levels of crazy, usually a detailed complex ritual with warnings of ruining your skillet (hahaha).

I wash them by hand, with soap, towel dry, and season as needed. Same process as my grandparents, who were sticklers for taking care of cookware.