leave it to air, oxygen and blood combined will form a hard
layer of clot on the wound and u can use ur hand again. of course,
dun expose ur hand to dirty stuff these few days, but then haven't
encountered such a problem. even ur hand kena mechanical oil (those
black black) from repairing also won't cause u to die. just
remember to wash regularly. 
wait for it to drop off after a while. if it's itchy u noe it's
almost, almost healing, so dun peel or scratch yet.