Peel the oranges and dice them into small pieces or slices. If desired, grate a little orange zest into the filling for extra flavor.
In a skillet, toast the breadcrumbs with half of the butter until lightly golden brown. Set aside to cool.
Combine the diced oranges with the sugar and cinnamon. Let it sit for about 10 minutes, allowing the sugar to dissolve and the oranges to release their juices.
Lay out the strudel dough sheets one by one on a clean kitchen towel. Brush each sheet with a little melted butter, then sprinkle with the toasted breadcrumbs.
Place the orange filling onto the strudel sheets, then carefully roll them up. Place the rolled strudels into a lightly buttered baking pan.
Whisk the egg and brush it over the top of the strudels to give them a beautiful golden-brown color during baking.
Bake the strudels in a preheated oven at 350°F (180°C) for 30-40 minutes, or until nicely browned and crispy.
Before serving, let the strudels cool slightly, then slice and serve warm.
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