Place the arugula, cranberries, and pecans in a large bowl. Toss with 3-4 tablespoons of the vinaigrette (shake it first), then season with salt and pepper to taste.
Divide the salad onto 4 serving plates and top evenly with the orange supremes (about 4-5 per salad) and crumbled goat cheese. Serve immediately.
Orange supremes are simply orange segments that have been peeled and sliced, separating the orange from the white pith instead of leaving the entire wedge in place. Here's a tutorial from Rachel Ray demonstrating how to supreme an orange with step-by-step photos. It takes a few extra minutes, but the results are beautiful and less chewy since the pith is completely removed. You can simply divide the orange into regular wedges or peeled slices if this looks like too much work!