The easiest way to make applesauce is in your Crock Pot. And it's even easier if you have a food mill.
Just fill your crock pot with quartered apples that have been peeled and cored. (if you have a food mill you don't even have to peel or core them)
If you want to keep them from turning too brown, add a bit of lemon juice to the apples.
Turn them on high and let them cook until they are very soft.
At this point you can mash them in the crock pot with a potato masher or run them through the food mill over a large bowl.
You can add sugar and/or cinnamon if so desired.
My favorite is brown sugar and cinnamon.
You may can the applesauce in a boiling water bath or freeze.
I love making applesauce because it makes my whole house smell so much like fall!