Simply hand fighting or trying to peel away the grip is not enough. Getting your hands, or in the case of a two-handed choke your forearms, on the point of contact and then "getting heavy" on that contact point as quickly as possible is imperative.
Once you have attached yourself to the choke point, drop as much of your weight as possible against it without losing your balance. Pit your weight against the attacker's grip.
You will loosen the pressure, even if only a small amount. This will allow critical oxygen flow to your brain. At the same time, getting heavy while clearing the airway wears down the strength of the attacker's hold. If you keep breathing, you keep fighting. If you keep fighting, you will prevail.
Come to Center
Once you can breathe, your next step is to regain a centered position. A powerful choke move will take the victim's head out of alignment with the rest of the body. To escape the hold, you must return your hips, back, and neck to that alignment. If you are being strangled or guillotined, continue dropping your weight against the choke while using that motion to lower your hips below your opponent's.
Step in close to your opponent using a lunging step, driving your hips toward them. Get as close as you can and then rise upward out of your lunge. This off centers your opponent and increases your structural leverage against their grip with your lower body. Your upper body must also re-establish center along with your legs and hips.