Step 1Finely chop the chocolate and place the pieces in a double boiler set over, but not touching, simmering water or in a heavy saucepan over low heat.
Step 2Add 2 cups of milk and stir, using a small whisk. Break up the chocolate until it starts to dissolve. Whisk continually until all chocolate is uniformly melted.
Step 3Raise the heat to medium, add the remaining milk and cook until it comes to a simmer (do not allow the chocolate to reach a full boil).