Step one: Make the dashi
Combine the water and kombu in a donabe and let the kombu soak for 30 minutes. The kombu will reconstitute and double in size.
Step two
Set the donabe, uncovered, over medium heat. Just before the broth comes to a simmer (after about 20 to 25 minutes), remove the kombu. Then quickly turn up the heat to bring to a simmer; immediately turn off the heat. Add the katsuobushi all at once.
Step three
Wait until the katsuobushi settles in the bottom of the donabe, about 2 minutes. Strain into a bowl through a fine-mesh sieve lined with a double layer of damp cheesecloth or a thin cotton cloth. Let the dashi drain by gravity or press very gently. Do not press hard or squeeze, as doing so will add a slight fishy flavor to the dashi.