Traditionally, this dish is made with dried posole and a pork shoulder. The posole can take as long as five hours to cook, by which time the meat and chiles have become extremely tender. This version uses easy-to-find canned hominy and still gets better as you cook it longer.
Bring 6 cups water to a boil and add the pork. Cook for 10 minutes. Reduce the heat to a simmer and add the rest of the ingredients (except the garnish). Salt to taste. Cook, covered, for 1½ to 2 hours (or longer), stirring and adding water if needed. Serve in soup bowls.
Pass around a plate of garnishes for everyone at the table to add to their soup.
Nutritional information is based on 8 servings, includes 1/8 teaspoon of added salt per serving, but does not include roasted green chiles or garnish plate ingredients. For nutritional information on roasted green chiles, please follow the link above.