I sit mine back in for cleaning one or two at a time, under the inner cover, for 24-36 hours (depending on how good I was during extracting.) Then I move the supers outside the hive, standing on end on the outer cover for final cleaning and drying (~24 hours)
I then store the supers on plastic 6-8 high, put 3-4 table spoons of moth crystals ***NOT moth balls*** on a paper plate on the top super and cover the stack with plastic and a board (to make almost air tight) - let the supers air out for a week before reusing in the spring. -Mike