I remain a remington fan, but i'm not ignorant to a few inherent flaws the 700 has..A guy could go a lifetime w/o issue with the bolt handle or extractor on their remmys, and many do.
But for a cheap fix, its a no brain er for me to have a sako extractor and the handle tiged on my big game rifles.(like Bokskee pointed out, take it to a guy that knows guns, not your local weld shop). I have had an extractor shear off of a 700, while hunting, and have had a bolt handle break off, it was an extreme situation..but broke off nonetheless.I've also seen extractors rusted shut, WHILE in the field..just so you understand my point of view.
I didnt mean this as a remington bashing thread, just a heads up.