I'm sorry to hear you were hit and are stuck. You were right to contact the other driver's insurance company. I would follow up with them as soon as possible. You will also want to call your insurance and report the incident. Here
is more information as to what you can expect when filing a claim. As, far as being stuck in five hours away, you can use roadside assistance if available. Check your policy to see if you have this coverage. You may also have roadside assistance through another company like AAA. If you do not have the roadside assistance you will either pay out of pocket to have the car towed or wait until you are able to get in touch with the other driver's insurance. Once you are able to contact the other driver's insurance you can discuss reimbursement for the tow of your car. That is considered part of the damages and cost of repairs. Good luck and if you have any further questions, don't hesitate to ask. Here
is another article directly relating to your situation. I hope it is helpful.