Do you wash your face differently when you wear makeup?

Sarah

vs. how you would wash your face on a day of no makeup?

I just use cleanser at night, and pretty much do the same thing if I wear makeup. Am I supposed to wash for longer or use a makeup wipe or Micellar water first? I’m nervous about the whole double cleansing thing and am wondering if it is necessary. I don’t wear anything waterproof.