its very hard, and its not the same in all directions. a human can take more positive gs than negative (ie, a force "Down" towards your feet, not "Up" towards your head). something to do with the more delicate blood vessals in the brain being less able to stand the strain of overpressure form the extra blood forced into the head by negative G.
A quick google says about 4-5 positive G is the upper limit for a "normal" person, with trained pilots in G-suits able to take 9g for a few seconds, but negative g is more like 2-3 G.
if your lying on your back facing the direction of travel, this apparently improves G tolerance significantly, with test subjects able to take 5-6G for over 10 minutes with minimal long term effects.
however, I don't think much research was done on long term exposure to high g, simply because these tests didn't need to for their research (which was for rocket powered space travel, and ejection seat/fighter aircraft design).
I think the current "hard sci-fi" solution (which is my only real reference for this) is that the crew would be strapped into place before the start of combat, wearing some form of G-suit (and often full vac suits) and remain strapped into place during any manoeuvres they may make. everything we do know about shifting apparent gravity on someone (ie turning a room upside down or similar) shows that it can be very disorienting and its extremely hard for a person to stay upright as it happens so movment around the cabin would be right out.
I don't think very high G could be maintained for more than a few minutes without the crew starting to pass out (and its worth mentioning that test subjects began to see signs of mental incapacitation before actual loss of consciousness). Crew fatigue would become a real issue in a prolonged fight.