Melt 85g of chopped chocolate in a double boiler. Stir in 2 teaspoons of hot chocolate mix and 1½ tablespoons of sugar until smooth.
Off the heat, slowly stir in a third of 1½ cups of milk. Let cool to room temperature.
Blend the chocolate mixture with the remaining milk and 3 cups of ice until it has the texture of a frozen daiquiri. Pour into a large glass and top with whipped cream and chocolate shavings.
