During
late Middle English: present participle of the obsolete verb dure ‘last, endure, extend’, via Old French from Latin durare ‘to last’ (see duration).
wiktionary
From Middle English during, durynge, durinde, durand, durende, present participle of duren(“to last”), equivalent to dure + -ing. Compare Dutch gedurende(“during”). More at dure.
etymonline
during (prep.)
"in the time of, in the course of, throughout the continuance of," late 14c., duryng (earlier durand, mid-14c.), present participle of the long-obsolete verb duren "to last, endure, continue, be or exist" (mid-13c.), which is from Old French durer, from Latin durare "to harden," from durus "hard" (from PIE root *deru- "be firm, solid, steadfast"). During the day is "while the day endures," and the prepositional usage is a transference into English of a Latin ablative absolute (compare durante bello "during (literally 'enduring') the war").
