Make sure the milk is warm, but not hot. You want it to be 100 degrees F.
Mix the warm milk, honey and yeast together in a measuring cup or bowl. Let it sit until foamy, about 10 to 15 minutes.
Use your electric mixer with a dough hook. Add the flour, sugar, salt and yeast mixture to the bowl. Add in the eggs. Mix until combined. Continue to mix and knead the dough with the dough hook until it becomes soft and sticky, about 5 minutes.
After 5 minutes, add the butter pieces. Continue to mix and knead for another 5 to 10 minutes, until the butter is incorporated and the dough is soft.
Transfer the dough to a greased bowl and cover it. Let it rise for 1 hour, or until it’s doubled in size.
After it’s risen, punch the dough down. Divide the dough into 16 separate pieces. Form the pieces into rolls, pinching the bottom so they stay together.
Rub butter all over two oven-safe skillets or one 9x13 inch dish. Place the dough pieces in the skillets (dividing them evenly) or in the baking dish. Cover and let rise for another hour.
Preheat the oven to 350 degrees F. Brush the tops of the rolls with the egg wash. Bake for 20 to 25 minutes, until they are soft and fluffy. Rub the tops with butter and sprinkle with flaky salt.
Serve with the maple butter!