Space station uses a zip up tube with a comfy collar for the person's neck. Water flows through, they wash up and dry off. Then they exit the tube and wash their face and hair.
I have a bottle of 'no rinse' liquid soap I bought for camping. You just put some on a cloth or the palm of your hand, wipe it on, you wipe it off, and the rest evaporates. I have only used it on my hands, so I have no idea how well it works for someone who has been hiking all day, or moving heavy machinery on a starship.