Breaking in a gun

Got a brand new Savage model 10 (review to come) and I took it out to break it in. There is some debate on how to break in a new gun. I think I've asked a dozen different people and gotten about a dozen and a half different answers. So the following is what I'm in the process of doing.

I bought a box of cheap federal ammo and I took it out to the range. I'm cleaning the barrel between every shot for the whole box (20 rounds). Some people I've heard clean after the first five and then every 3 for the next fifteen, and from others I've heard clean after the first round for the first ten, then 2 and then 3. I figured that 20 single round cleanings would probably be the best.

Also at the range I zeroed in my 270. I'm getting 3" groups at 100 yds. Some much needed practice is in order.

-Steven Kipp