SB 10.27.2
vivikta upasangamya
vriditah krta-helanah
pasparsa padayor enam
kiritenarka-varcasa
Translation:
Indra was very ashamed of having offended the Lord. Approaching Him in a solitary place, Indra fell down and lay his helmet, whose effulgence was as brilliant as the sun, upon the Lord’s lotus feet.
Purport:
The specific “solitary place” where Indra approached Sri Krsna is mentioned by the sage Sri Vaisampayana in the Hari-vamsa (Visnu-parva 19.3): sa dadarsopavistam vai govardhana-sila-tale. “He saw Him [Krsna] sitting at the base of Govardhana Hill.”
From the commentaries of the acaryas we understand that Lord Krsna wanted to provide a solitary meeting for Indra so that he would not be further humiliated. Indra came to surrender and beg forgiveness, and the Lord allowed him to do so privately.