To: janeddy district = distretto; area= zona; neighborhood= quartiere. Italian is fairly close to French re: neighborhood (quartier); hence the similarity.
Native speakers of American English would never say "living quarter." It is always used in the plural> headquarters, living quarters, your quarters.
You're confusing the use of the word "quartiere" (meaning neighborhood or "quarter" of the city) with the English use of the word "quarters" to indicate a specific building or room. "Quartiere" never translates that way.
I've never seen it used that way, but that makes sense, because suburbs and neighborhoods are different.
I've primarily heard it used to refer to actual neighborhoods. The cities have different "quarters" that are usually represented most during palio, or a similar summer event.
.. but an area/district/neighbourhood when used for events such as palio (or for our address!) is a 'contrada'...
I probably shouldn't have mentioned palio. "Contrada" is only used in Siena.
Nope, Contrada is widely used, it is not just Siena. We live in a rural contrada in Basilicata, in the south. A Contrada either a district (parish?) of a town, or a rural area of farms and smallholdings.
Hey, I just noticed the image for "province" comes from this https://upload.wikimedia.org/wikipedia/commons/4/45/Afghan_Returnees_Find_Home_in_Parwan_Province.jpg
in English we do not refer to a "quarter" in this way; in the plural, it would refer to a soldier's living place or similar. "Area" would fit the translation much better
It can have a similar meaning in very particular contexts, but "area" is a much more general word.
"where is your quarter" (You used the plural "quarters" here, instead of the singular "quarter") Where is your quarter? is not English. Where are your quarters is correct, if it's referring to your room/space.
See some of the above comments. While "quarters" in English can refer to lodging, "quartiere" in Italian can only refer to a neighborhood or defined area of a town. "Quarter" has the same meaning in English, but it's a bit archaic, which is why it isn't displayed as the preferred answer.