Almost like Krispy Kreme Doughnuts

I don't usually make doughnuts, but I came across this recipe and it is really easy and my kids and husband loved them!

2 envelopes yeast dissolved in 1/4 cup warm water
1 1/2 cup lukewarm milk
1/2 cup sugar
1 tsp salt
2 eggs
1/3 cup shortening
5 cups flour
oil for frying

Mix together yeast mixture, milk, sugar, salt, eggs, shortening, and 2 cups of the flour. Beat in remaining flour slowly until dough no longer sticks to the bowl. Let dough raise until double. Roll dough out and cut with doughnut cutter. Let doughnuts rise until double. Fry in oil at 350 degrees until golden brown. Drain on wire rack and dip into glaze while still warm.

Glaze:
1/3 cup butter
2 cups powdered sugar
1 1/2 tsp vanilla
4 tbsp hot water as needed

Melt butter in saucepan over medium heat, stir in sugar and vanilla until smooth. Remove from heat and stir in hot water one tbsp at a time until icing is thin but not watery.