Divide dough in half and roll each half to a 12x14 inch rectangle, trying to keep sides as straight as possible.
Remove rectangles to the parchment lined baking sheets.
Spoon ½ of apple mixture down center of rectangle in an approx. 3-inch strip.
Sprinkle ½ of the cheddar cheese over the apples.
Sprinkle ½ of the crumb filling over the apples and cheese.
Starting at one long end of the dough, make knife cuts approx. 3-inch long and 1-inch wide down length of dough rectangle. Repeat for the other end.
Alternating sides, fold strips across to center of dough.
Repeat process for other half of dough.
Cover braids and let rise for 1-hour.
Preheat oven to 350 degrees.
Line two large baking sheets with parchment paper.
Using a fork, mix water into egg white till thoroughly combined.
Brush egg white mixture across top of each bread.
Bake in the preheated oven for approx. 25 minutes or until lightly browned.
Transfer from pans to wire racks to cool.