Another interpretation. This is like a king who married a wife and made for her a necklace of pearls. When she behaved corruptly, he took it from her and wrote her a bill of divorce. So too the Holy One, blessed be He, settled Adam in the Garden of Eden and made for him ten bridal canopies. Once he sinned, He gave him a bill of divorce, as it is said, "and He sent him forth" (Genesis 3:23). And the word "sending forth" means nothing other than a bill of divorce, as it is said, "and he sends her out from his house" (Deuteronomy 24:1).
Adam's Expulsion From Eden as a Bill of Divorce
Yalkut Shimoni on Torah 34:6
דָּבָר אַחֵר, לְמֶלֶךְ שֶׁנָּשָׂא אִשָּׁה וְעָשָׂה לָהּ שַׁלְשֶׁלֶת שֶׁל מַרְגָּלִיּוֹת, סָרְחָה, נְטָלוֹ הֵימֶנָּה וְכָתַב לָהּ גֵּט. כָּךְ הַקָּדוֹשׁ בָּרוּךְ הוּא הִנִּיחוֹ לְאָדָם בְּגַן עֵדֶן וְעָשָׂה לוֹ עֶשֶׂר חֻפּוֹת, כֵּיוַן שֶׁחָטָא נָתַן לוֹ גֵּט, שֶׁנֶּאֱמַר "וַיְשַׁלְּחֵהוּ", וְאֵין שִׁלּוּחַ אֶלָּא גֵּט, שֶׁנֶּאֱמַר (דברים כד, א) "וְשִׁלְּחָהּ מִבֵּיתוֹ".