Fitting Aftermarket Barrel w/ Different Contour to Factory Stock

So this is just a general question that I thought about while looking at new rifles. Mind you I'm pretty new to bolt guns (or at least modifying / building them). If you're putting an aftermarket barrel on a factory rifle and the new barrel has a bigger contour than what was on the rifle originally, how do you remedy that? Would you just have to grind or dremel out the area under the barrel so it will be free floated again? I know you don't want the barrel and the stock to make contact and that's the only way I can think of that would fix it.

Appreciate the help y'all!
There are some tools made specifically for this purpose but I've found that a dowel rod with sand paper wrapped around it does the job just fine.

You'll probably need at least 3 dowel rods of decreasing size for best results.
 
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