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1
In a medium bowl, stir together the scalded milk, sugar, and salt. Set aside to cool until tepid. If using nutmeg, stir it into the flour, and add 2 cups of the mixture to the milk, and beat until well blended.
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2
In a small bowl, dissolve the yeast in warm water. Stir into the milk and flour mixture, then mix in the butter and eggs. Mix in the remaining flour 1/2 cup at a time. When dough is firm enough, turn it out onto a floured surface, and knead for 3 to 4 minutes. Place into an oiled bowl, cover and allow dough to rise until doubled in bulk. This should take 30 to 45 minutes.
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3
On a lightly floured surface, roll the dough out to 1/2 inch in thickness. Cut into circles using a donut cutter, or round cutter. Set aside to rise for 30 to 40 minutes, or until light.
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4
Heat one inch of oil in a deep heavy frying pan to 375 degrees F (190 degrees C). Fry donuts a few at a time. Cook on each side until golden brown, then remove to drain on paper towels. Glaze while warm, or just sprinkle with sugar.
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5
To make the glaze, stir together the confectioners' sugar and 6 tablespoons milk until smooth. Dip warm donuts into glaze, and set aside to cool.