Ughhh! Girl fights!

I am not prepared to help my daughter deal with the often cruel world of being a girl. She's only a second grader for heaven's sake--can't it wait until she's in Jr. High? I was a shy, quiet little girl, who usually had a few close friends, rather than big groups of friends. I remember girls being mean, my reaction usually to just kind of fade out of the picture. But my Maddy is a social child, and though I'm sure the problem is in part of her own making, its really hard to witness. When we first moved to this house, I was so happy that we had two little girls Madeline's age living next door, but now I'm realizing that having a little distance from friends can be a good, though less convenient, thing. I'd love some suggestions on how to deal with this not very fun problem.