The first step is to clean away any bleeding that has occurred due to the bite. Use clean cotton balls to stop the bleeding and clean the blood away. Any person treating the wound should wear clean protective gloves.
Once you have the bleeding in control, wash the place of the wound with water and anti bacterial soap. Use warm water to wash the area. Rinse away all the soap because it can get into the open wound and irritate the skin. Pat the skin dry with a clean towel.
Place an antibiotic ointment over the wound. The ointment will help heal it quickly and keep off any bacteria. Now do a clean and dry dressing of the area. Deeper wounds may require stitches. Wounds on the face should be taken to a doctor immediately because they can leave scars.
After the dressing, if you feel continued swelling and burning sensation, consult a doctor immediately because the wound can trigger a infection. If you are unsure of the whereabouts of the cat, there is a danger of rabies, just like with dogs, stray cats carry rabies germs which can be transmitted to the human body through the wound. In such a situation, it is advised to consult professional medical help immediately and not to waste time. However, the initial first aid suggestions above will contain the bleeding and the infection.