To put out a grease fire safely, follow these steps:

1. Turn off the heat source immediately to stop fueling the fire.
2. Cover the flames with a metal lid or cookie sheet to smother the fire by removing oxygen. Leave the cover on until it has completely cooled.
3. For a small and manageable fire, you can pour baking soda or salt on it to help extinguish the flames. Do not use flour, baking powder, or sugar as they can make the fire worse.
4. If the fire does not go out or is large, use a Class B or Class K fire extinguisher, which are designed for grease fires.
5. Never use water to put out a grease fire because water can cause the fire to spread explosively.
6. Do not try to move the burning pot or pan outside; it could spread the fire or cause burns.
7. If the fire is uncontrollable, evacuate the area, close doors to contain the fire, and call 911 immediately.

These steps are critical to safely extinguish grease fires and prevent injury or further damage.