Preheat oven to 425ºF.
Put about 1 cup or so of overcooked florets into a shallow baking or gratin pan. Finely chop the remaining broccoli in a food processor while adding chicken broth and olive oil. Season with salt and pepper, add to the florets in the pan and stir to combine. Top with breadcrumbs and cheese, and bake until heated through and bubbly, about 15 to 20 minutes.