You get dropped into an honest to god IRC channel, with the current on-call dispatcher. They collect your location, make sure you have enough oxygen reserves and how to conserve resources.
Meanwhile, responders hanging out in the channel have been plotting a course to your location, and reporting ETA and jump counts back to the dispatcher. The distpatcher assigns (usually) a primary and backup responder, and they start heading your way.
Eventually one of them drops out of warp near you. Even in an MMO, it's a very odd feeling having another player ship drop out of cruise, and slowly pull up to your windshield.
They say hi, did I find the right place, you need fuel right? They transfer a bunch of fuel, give you pointers to the nearest systems with fuel services, and make sure you're in good shape to get yourself to safety.