In my opinion, this is the ONLY way to make applesauce. The one drawback is that you will need a food mill.
Wash, core, and cut into eighths a bunch of apples. DO NOT peel them.
Put your food mill over a big bowl. You might want another bowl nearby just in case. Carefully pour the hot apple mush into the food mill.
Crank it, baby. This is the best part for kids to help with.
And look at that masterpiece of fall tastiness. Delicious hot, warm, or cold.