I'll add a minority report here--because we sometimes cook in the pot itself, and we eat out of separate bowls. So we do have some dishes to wash. we use a tiny bottle ( think one of those hotel shampoo bottles) of Dawn detergent. This is the stuff they use to get oil off birds during a toxic cleanup.

About one drop of Dawn will clean your dishes. WE toss that "soapy" water way up into the bushes away from water sources....and then rinse again to remove any soap odor.

And I have been known to wash my hair with Dawn as well...and afterwards, I look RADIANT! grin.