You've just had egg and chips and you dutifully hand washing your solitary plate:
The detergent molecules look like a lollipop ---------O . The stick ------- is water hating (hydrophobic) and goes into the grease droplets. The lollipop end O is water loving (hydrophilic) and 'disperses' into the dish water, hence the water goes down the plug hole, taking the grease with it. Your plate is lovely and clean until you have beans on toast the next day
If you want to give the acetate a gentle 'scrub', buy a child's toothbrush, bristles as soft as possible.