Put on a pair of heavy rubber work gloves to prevent skin contact with the acid causing the corrosion, as contact can cause chemical burns to develop.
Remove the batteries from the unit and place into a sealable plastic bag. Seal the bag and dispose of alkaline or single-use batteries with the ordinary trash.
Remove as much of the corrosion remaining on the surface of the battery-powered object as possible with a wash cloth.
Use a cotton swab dampened with a solution of equal parts vinegar and water to remove the remaining corrosion. Dip the swab into a bowl containing the vinegar then dab the corrosion with the swab, wetting the area and dissolving the corrosion in the process. Wipe with the swab until no corrosion remains, changing swabs as needed, when the one in use becomes dirtied.
Wipe the surface with a water dampened washcloth to remove any remaining residue and dry the area.