I use my orbital sander with 80 grit. It will take most, if not all of that remaining dried on adhesive off the wall. (This willl produce A LOT of dust, so be aware). Then prime with Gardz primer to ensure any remnants are sealed up. You may have to patch some areas of the drywall, I see a gray area that looks like it will need patched. Hopefully you won't have to do an entire skim coat. Shouldn't be necessary if the drywall is fairly sound.