By supplying food to the stomach, where it nourishes the life air, one satisfies all the senses. In the same way, by worshiping Krsna and rendering Him service, one automatically satisfies all the demigods

Expressions researched:
"by supplying food to the stomach, where it nourishes the life air, one satisfies all the senses. In the same way, by worshiping Krsna and rendering Him service, one automatically satisfies all the demigods"

CC Madhya-lila

By pouring water on the root of a tree, one automatically satisfies the trunk, branches and twigs. Similarly, by supplying food to the stomach, where it nourishes the life air, one satisfies all the senses. In the same way, by worshiping Kṛṣṇa and rendering Him service, one automatically satisfies all the demigods.

CC Madhya 22.63, Translation and Purport:

“"By pouring water on the root of a tree, one automatically satisfies the trunk, branches and twigs. Similarly, by supplying food to the stomach, where it nourishes the life air, one satisfies all the senses. In the same way, by worshiping Kṛṣṇa and rendering Him service, one automatically satisfies all the demigods."

This is a quotation from Śrīmad-Bhāgavatam (4.31.14).