This happens to me if I am eating something like tortilla chips and a hard part of the chip gets wedged in between my teeth.
First step is to try dental floss to get it out. Most of the time this works, but sometimes the food is too hard and stuck in there that you can't even get the floss in there to clear it.
When floss on its own does not work, I get some water and use to to swish around inside my mouth. Take a gulp of water and swish it around vigorously in between your teeth. Try to focus on the area that has the food stuck. Repeat this process a few times with a few gulps of water.
Then get the floss and try again to floss it out. Hold the floss firmly and try to move it back a forth a bit if it still does not get through. But be careful not to push to hard because you don't want to hurt your gums with the floss.
If it still does not work, go back to the water and swish more water around. For stubborn pieces of food, you may have to do this several times. The water helps break down the food. Sometimes I have had to do this as much as 10 times, but eventually it always works and the food comes out with the floss after swishing the water around to help break it down.
Good luck and feel free to share any tips you have on getting food out of your teeth.