Carefully peel the oranges. Try to get only the orange portion of the peel, and avoid the white pith.
Cut the peel into strips to preferred size.
In a small sauce pan, cover the peel with cold water. Bring to a boil and cook until the orange peel is tender, about 8 to 10 minutes. Drain, and dry on a wire rack for 30 minutes.
In the same pan, dissolve ¾ cup of sugar in ½ cup of water. Bring to a boil, then add the orange peel. Cook, stirring frequently, for 10 minutes.
Very carefully remove the peel from the sugar mixture and place on the rack. Use a fork to separate the pieces, then let cool for 1 to 2 hours.
Once cooled, toss in the remaining sugar. Store in a sealed jar in a cabinet, will keep for several weeks.