§ IDefinition
"The divine portion" — the share apportioned to each human being out of the divine whole. The image rests on Stoic materialist theology: god-as-Logos pervades the world as a creative fire (πῦρ τεχνικόν), and the human soul — especially its rational part — is a "fragment torn off" (ἀπόσπασμα) from that fire. ἀπομοῖρα means literally "the portion separated out" (from μοῖρα, "lot," "share").
§ IISource
SVF I 135, 495; II 633, 774 (the doctrine of the soul as ἀπόσπασμα θεοῦ); DL VII 156; Epict. Disc. 1.14.6 ("you are a fragment of god"); 2.8.10–14. In Marcus: Med. 2.1; 05-27; 12.26. In Book XII — 12-01 (τὸ ἐν σοὶ θεῖον, "the divine in you," is set beside the ἡγεμονικόν as the one thing to be honoured at one's going-out). And 12-26 (ὁ ἑκάστου νοῦς θεὸς καὶ ἐκεῖθεν ἐρρύηκεν — "each man's mind is a god and has flowed from there").
§ IIINotes
In 02-01 the formula μετοχὴ νοῦ καὶ θείας ἀπομοίρας — "a share in intellect and the divine portion" — serves as the ground for the TERMkinship of human beings by reason rather than by flesh. It is one of Marcus' most condensed formulations of Stoic theistic humanism: every rational being carries a particle of god, and is therefore inviolable in his core. Compare Med. 05-27: "live with the gods; and he lives with the gods who… does all things according to the will of the daimōn that Zeus has given each person as guardian and guide — and this is each person's intellect and Logos."