Let me start by saying that if anyone needs apples, come and take. We are fortunate to have a giant apple tree (that desperately needs pruning) in our backyard. This year I finally decided (with the prompting of my dearest husband) to use them. Applesauce is really easy if you just do the basics. You can see my process below...but it is by no means the best way...just my way. :)
Fill a giant pot with hot water and as many apples as you can fit in there.
Bring to a boil and keep the apples covered with water until they crack and soften.
I borrowed a victoria strainer (http://www.amazon.com/Victorio-VKP250-Strainer-Sauce-Maker/dp/B001I7FP54/ref=sr_1_1?ie=UTF8&qid=1440445830&sr=8-1&keywords=victorio+food+strainer) from some generous friends and pushed the apples through until we just had pure applesauce goodness.
Fill pint sized jars (because we don't usually eat more than that at a time) with sauce and cover with sterilized lids.
Process in a waterbath canner for 20 minutes.