Soak the soybeans: Wash the beans in a fine mesh sieve, discarding any discolored beans or small rocks that you find. Drain and place in a large container (the beans expand as they soak). Add 5 cups of cool water and cover. Let the beans soak for 8 hours in a cool place. They can soak for up to 24 hours, but keep them soaking in the refrigerator if you plan on soaking them longer than 8 hours to prevent bacteria from growing.
Grind the soybeans: Drain and rinse the soybeans. Put half of the soaked beans in a blender or food processor and add 2 cups of hot water. Puree at high speed for 1 minute, or until the mixture is relatively smooth. Pour the purée into a deep 8-quart pot. Repeat this step with the rest of the soybeans. Rinse out the blender/food processor with 1/4 cup hot water to retrieve any purée, and pour it into the pot.
Cook the soybean purée: Heat the purée over medium-high heat, stirring constantly to prevent the purée from burning. When foam suddenly rises in the pot, or the purée comes to a boil, reduce the heat to medium-low and continue to simmer for 8 minutes. Remove the pot from the heat.
Press the milk from the purée: Line a large colander with a moistened pressing cloth/sack and place the colander in the mouth of a clean pot. Transfer the soybean purée into the pressing cloth/sack and twist the cloth closed. Use a potato masher to press the sack against the bottom of the colander to extract the soymilk. When you have extracted as much as you can, open the cloth and stir the remaining purée briefly.
Second pressing: Pour 1 1/2 cups of boiling water over the remaining purée in the cloth, stir again, twist the cloth closed and press again until you can no longer extract any more soy milk. The soy milk is now ready for drinking!