"and they turned to the desert": R. Yehoshua says: They had no sooner turned than the Shechinah had appeared. R. Elazar says: They turned to the deeds of the forefathers (i.e., to repentance), it being written ("they turned to) 'the desert'" — Just as the desert is void of all, so the early fathers were void of all transgression and sin.
They Had No Sooner Turned Than the Shechinah שכינה, God's Divine
Mekhilta Tractate Vayassa 3:14