Throw the needle and syringe immediately in a covered garbage can with a red plastic liner to indicate the materials are biohazards.
Recap the needle and place it carefully on the patient's table until leaving the room, then discard it in a garbage container in the nurses' medication room.
Carefully break the needle from the syringe, using the needle cover to prevent reuse of a used syringe and needle.
Never recap the needle afterward to avoid risk of needle stick.