Grate the zest from one of the oranges and juice it. Thinly grate half the ginger. In a deep bowl stir together the orange zest and juice, the honey, grated ginger, paprika, nutmeg, salt and pepper. Add the beef cubes to the bowl and stir to coat thoroughly. Let stand for 1 hour. Thinly slice the remaining oranges and ginger. Preheat the broiler. Drain the meat, reserving the marinade. Thread the beef cubes onto 6 skewers, alternating a slice of orange and a slice of ginger between each piece of meat. Place the skewers on a grill rack and broil or grill for 10-12 minutes, turning and brushing the skewers occasionally with the reserved marinade.
