Śrīmad-Bhāgavatam 10.86.51
Blended reading (Sanskrit + English inline)
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anugraha-arthāya
—
for the purpose of bestowing benedictions
Compound: anugraha (mercy) + artha (purpose). Echoing v. 24 (anugrahāya). The same word, now from Kṛṣṇa's own mouth — the chapter's whole movement is named anugraha.
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sañcaranti
—
they wander
Present plural of sam + √car (to move). The sages wander — perpetually, with Kṛṣṇa. Gauḍīyas treat parivrājaka-bhakta-saṅga as a tīrtha-on-wheels; the holy place comes to you.
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pāda-reṇubhiḥ
—
with the dust of their feet
Compound: pāda (foot) + reṇu (fine dust). Caraṇa-reṇu — the most prized substance in Gauḍīya gauḍa-maṇḍala. Caitanya Mahāprabhu Himself rolled in the dust of Vraja for its sake. Even Bhagavān names His sages' dust as the cleansing agent.
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punantaḥ
—
purifying
Present participle of √pū (to cleanse). The sages cleanse without being cleansed (they are already cleansed). Bhakti is contagious downstream: a clean person automatically cleans those nearby.
Śrīla Śrīdhara Svāmī explains that Lord Kṛṣṇa thought Śrutadeva had shown too much reverence to Him and not enough to the sages, and thus He turned the brāhmaṇa’s attention to them.
"I have heard you praise me, but not the brahmanas accompanying me. Being the worshiper of the brahmanas, I will praise the brahmanas myself, to teach devotion to brahmanas. But you should praise me, while I should praise the brahmanas." This is Krsna’s intention. Addressing Srutadeva as a brahmana he indicates that Srutadeva being of the same caste as the sages does not have to give as much respect as he does.
Embarrassed by being praised, since the Lord is the crest jewel among the well-mannered, with great affection for his devotees, Kṛṣṇa gave respect to the bhakti of his devotees and taught the method by which Śrutadeva could attain his desires. O brāhmaṇa, you are the form of the Vedas. You should know this. Know that the sages have come on their own (sam—prāptān), along with me, just to give mercy to you. “You have personally come. The sages’ coming is more than necessary.” They wander with me in their hearts and sometimes along with me (mayā). The meaning is as if the word saha were present. Saha yoge pradhāne (Pāṇini 2.3.19) I am dependent on them.
Embarrassed by being praised, since the Lord is the crest jewel among the well-mannered, with great affection for his devotees, Kṛṣṇa gave respect to the bhakti of his devotees and taught the method by which Śrutadeva could attain his desires. O brāhmaṇa, you are the form of the Vedas. You should know this. Know that the sages have come on their own (sam—prāptān), along with me, just to give mercy to you. “Are the sages not ātāmārāmas? What use are they?” They wander with me in the worlds, purifying them. Or they wander with my deity form, to relieve the pain of separation. They are the best devotees, not ātmārāmas.
'These sages have come for your sake, not for Mine — They wander with Me to purify the worlds with the dust of their feet.' Bhagavān reframes the visit: He is the chariot, the sages are the medicine; the bhakta is the patient.
My note
Source: vedabase.io