now as you flush out the wound with water place your other earth hand over the wound
this will start healing the tissue and you wont need to sew the flesh back together by hand.
usually, if you can muster up just a little bit of fire chakra to release (with no jutsu) the fire will stop the bleeding immediately then you can mend the wound with the earth chakra.
It will still work without the fire release but will take slightly longer.