The word daṇḍa means rod or pole. A rod or pole falls straight; similarly, when one offers obeisances to his superior with all eight aṅgas (parts) of the body, he performs what is calleddaṇḍavat. Sometimes we only speak of daṇḍavats but actually do not fall down. In any case, daṇḍavat means falling down like a rod before one's superior.
(Sri Caitanya Caritamrta----2:1:67----purport).

Brahmā thus found Śrī Kṛṣṇa, the Supreme Personality of Godhead, playing the part of a small cowherd boy; he saw that little child with a lump of food in His left hand, searching out His friends and calves, just as He had actually been doing one year before, after their disappearance.
Immediately Brahmā descended from his great swan carrier and fell down before the Lord just like a golden stick. The word used among the Vaiṣṇavas for offering respect is daṇḍavat. This word means "falling down like a stick"; one should offer respect to the superior Vaiṣṇava by falling down straight, with his body just like a stick. So Brahmā fell down before the Lord just like a stick to offer respect; and because the complexion of Brahmā is golden, he appeared to be like a golden stick lying down before Lord Kṛṣṇa. All the four helmets on the heads of Brahmā touched the lotus feet of Kṛṣṇa. Brahmā, being very joyful, began to shed tears, and he washed the lotus feet of Kṛṣṇa with his tears. Repeatedly he fell and rose as he recalled the wonderful activities of the Lord. After repeating obeisances for a long time, Brahmā stood up and smeared his hands over his eyes. Seeing the Lord before him, he, trembling, began to offer prayers with great respect, humility and attention.
(Krsna Book).