One way to hold remittance: money travelling from one place to another, with someone waiting at the far end. Nobody hands anything over face to face — it is sent, across a city or across the world. The word can point at the money on its way, or at the sending itself, and English uses the same shape for both.
From the word’s history
Remittance is remit plus the ending -ance. Remit carries the idea of sending something off, and -ance turns an action into a noun — so the word can name the sending, and then the thing sent.
remittance 由 remit 加字尾 -ance 造成。remit 帶著「送出去、交付」的意思，-ance 把動作變成名詞。-ance 造出來的名詞常常兩邊都指：既是動作，也是動作的結果。這正好說明為什麼同一個字可以是「匯這件事」，也可以是「匯出去的那筆錢」。
Wiktionary entry supplied in this packet (source_ref kaikki:3f6f69a190036ae4:761163441:22697): 'From remit + -ance', with the -ance suffix traced through Old French -ance and Latin -antia.
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