All great comments about poaching an egg. I use a small to medium size sauce pan and not a saute pan.
** Make sure to add a pinch of salt along with about a 1/2 tsp of vinegar (like everyone else I like a certain one, usually using champagne vinegar)
** make sure the water is at a good simmer and hot boiling before you add the eggs
** break them in a bowl first and allow each one to slide in the water
** after the egg is in the water for about 20 seconds gently make sure it is not sticking on the bottom of the pan
** do not stir the water at all
** allow to cook for about 3 minutes and then using a perforated spoon remove the eggs from the poaching bath.