You can think of a debt being settled and the slate wiped clean, so that a person can walk away with nothing left hanging over them. In court the debt is a charge, and wiping it clean means the person is free. Turn the same idea on yourself and it becomes the part you owed on the day: you gave it, and you can walk away from it too.
可以想成一筆帳被結清，紀錄擦乾淨，人身上不再掛著任何東西，可以走了。在法庭上，那筆帳就是一項指控，擦乾淨代表人自由了。把同一個想法轉向自己，就變成「你今天該交出的那一份」：你交了，所以你也可以抬頭走開。
From the word’s history
The source traces acquit to Old French aquiter and Medieval Latin acquitāre 'to settle a debt', from ad- 'to' plus quitare 'to free' — a doublet of quit. Settling and freeing sit inside the word from the start.
來源資料說 acquit 來自古法文 aquiter 和中世紀拉丁文 acquitāre（把債務結清），由 ad-（朝向）加 quitare（使自由）組成，跟 quit 同源。「結清」和「放開」這兩件事，從一開始就在這個字裡面。
Wiktionary, "acquit"
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