In a medium bowl, add quick oats, honey, and butter.
Heat the water over high heat until it boils. Pour the heated water over the butter, honey, and quick oats, and give it a stir. Let it soak for about 30 minutes, or until the mixture is lukewarm.
Tip: Lukewarm is 105°F to 110°F. Adding anything too warm to the dough will mess it up: it will make it ferment/rise faster, and if it’s too hot, it will kill some or even all of the yeast. Wait for it to reach “baby bottle” temperature: it should not be too warm when you touch it to your wrist.
In a large bowl, or the bowl of your stand mixer, add all-purpose flour, salt, yeast, the soaked oat mixture, and a large egg, mixing until a shaggy dough forms.
Using the dough hook attachment, on low speed (2 if using a KitchenAid), knead for 6 minutes, and test for windowpane. If the dough tears, knead for 2 more minutes, then test again. It should have a good windowpane by the end of kneading. The dough will feel smooth and tacky.
Tip: If you’re using cups, start by adding 5 ½ cups, leaving the ½ cup remaining to add in case the dough is too sticky.
You can also knead by hand or use a bread machine. If kneading by hand, you might need a few more minutes: knead for 10 to 12 minutes, and test for windowpane.
Cover the dough and let it rise for 1½ hours, or until it doubles. If you’re baking during winter, it might take a bit longer, and during summer, this first rise might be shorter.
Deflate the dough and divide it into 8 equal parts. We’re shaping these parts into logs.
Open each part into a rectangle with your hands or a rolling pin. Fold the top third down and the bottom third up, then fold the dough in half and pinch to close. You can also roll the dough over itself and pinch to close.
Place the rolls onto a lined large baking sheet. If your baking sheet is small, you might need to use two. The rolls should not touch — give them at least 1 1⁄2 inches of space, as they will expand during the second rise and baking.
Cover the rolls and let them rise again, this time for about 40 minutes, or until they look puffy and light.
Preheat your oven to 375°F, middle rack. In a small bowl, whisk the egg white with one teaspoon of water until combined for the egg wash.
Brush the top of each roll with the egg wash, topping them with the remaining oats.
Bake rolls for 25 minutes, or until the top is golden brown and the internal temperature reaches 190°F.