The very first time, I recall making butter, was back in kindergarten. It was a classroom project and then later my parents did it with me at home. We did it the "hard way" by putting some whipping cream into a quart sized jar and shaking it for 20-30 minutes. Not a half bad way to keep a bunch of kids busy though!
I took the easy way and used my Kitchen Aid Mixer I used the wire Wisk attachment and beat it for 20-30 minutes! It first turns to whipped cream and eventually turns into butter and butter milk!