何分
なにぶん · nanibun · JLPT N2 · noun
means
何 (what) + 分 (portion, share): asking 'what share can I ask for?' turns into a polite please
Common in 何分よろしくお願いします, 'please treat me kindly.' Because 分 also means degree, 何分 can mean how much, but here it's a softened request.
分 — knife 刀 + eight 八 (split apart)
分 originally depicted a knife (刀) cutting something into two parts, shown by 八 above (which itself meant 'divide'). The core sense is 'to divide' or 'split', from which extended meanings like 'portion', 'minute', and 'part' developed. Pronounced fèn, it carries the sense of an allotted share.