Mix the ingredients. Add all the bread ingredients (flour, milk, melted butter, sugar, salt, and yeast) to an electric stand mixer or a large mixing bowl. Mix on low speed (or by hand with a wooden spoon) until a dough forms that holds together and does not stick to the sides or bottom of the bowl. If the dough seems too dry and crumbly, add more water, one teaspoon at a time. If it's too sticky, add more flour, one tablespoon at a time, until the desired consistency is reached.
Knead. Knead the dough by machine or by hand for 10-15 minutes until it is smooth and soft and reaches the windowpane stage (a translucent area appears when the dough is stretched). If you're using a stand mixer, allow the machine to rest for a few minutes every five minutes of kneading to prevent overheating.
The first rise. Shape the dough gently into a ball and place it into a clean, lightly oiled bowl. Cover with a clean, damp tea towel and place in a warm, draft-free area. Let the dough rise for about 60 minutes or until it is puffy and has doubled in size.
Shape. After the first rise, gently stretch the dough into a rectangle. The short side of the rectangle should be the same length as the long side of your loaf pan. Tuck in the corners and top of the dough, then roll it into a log. Pinch the seams closed and place the loaf, seam side down, into a lightly oiled loaf pan.
The second rise. Cover the loaf with heavily greased plastic wrap and place it back in a warm area to rise again. Let it rise until the dough is about one inch above the top of the loaf pan. Once it has risen, preheat your oven to 350°F (175°C). Before baking, generously brush the top of the loaf with the beaten egg mixed with water.
Bake. Bake the bread at 350°F (175°C) for 45-50 minutes, or until the loaf reaches an internal temperature of 200-210°F (93-99°C) and sounds hollow when tapped. Remove the bread from the loaf pan and allow it to cool completely on a wire rack before slicing. The bread will stay fresh for 2 days at room temperature or can be frozen for up to 2 months.