Preheat oven to 400o. Scrub potatoes. Butter skins and make shallow slits around the middle as if you were cutting the potatoes in half lengthwise. Bake until done, about 60 minutes, depending on size.
Peel broccoli stems. Steam whole stalks until just tender and chop fine.
Carefully slice the potatoes in half (the slit makes it easier) and scoop the insides into a bowl with the broccoli. Add 1/2 cup of the cheese, margarine, salt, pepper and milk. Mash all together until mixture is pale green with dark green flecks. Heap into the potato jackets and sprinkle with remaining cheese. Return to the oven to heat through (about 10 minutes).
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