[Meaning he/she/it] ran through, went through. "For (you see) the fame of what had been ventured flowed about greatly."1
Also used is die/rrei [i.e. the imperfect tense]. Aelian [writes]: "a most impressive reputation was flowing about the woman."2 ['Most impressive'] meaning brilliant, exalted.
The headword, presumably extracted from the quotation given, is aorist of diarre/w (a passive form with active sense), third person singular.
cf. delta 742, delta 944.