What do you do when your kids fight?

What do you do when your kids fight? Like I have said previously I have five kids and with that many kids emotions fly high. Someone always seems to be stepping on someones toes. My oldest seems to think she should be in charge of everything because, of course shes the oldest. My son who is the second oldest and he also has ADHD, his temper fly's high in the evenings when his medicine wears off; well he thinks when someone looks at him thats cause for a fight. And my 8 year old seems to be very emotional and cries or yells at a drop of a hat (the doctor says she is going through puberty a little early), you never know which is going to happen. Of course there is my four year old and two year old as well but they don't really fight that much and are very quiet unless their other brother and sisters are home. So with all these high emotions and our hectic schedule their are bound to conflicts of interests. My two girls fight the most lately and I have finally come up with a system that is seeming to work. First of all I don't choose sides, I feel this could cause problems when they are older. Next I put them in a room, just the two of them and tell them to talk it out. Sometimes this takes hours, but they are getting better at it. Obviously if it is something big I intervene and try to find out what the issue is. However normally I let them work it out on their own, they don't come out until it is resolved and almost always they come to me afterwords and tell me how they solve it. They seem proud of themselves and happy with each other. I feel this is a great way to teach them how to resolve conflicts with out yelling and with out physical contact.

So...What do you do?