미친 = crazy (adjective)
미쳐서 = It is like "adverb" of adjective
and I searched my dictionary but I cant fine same vocabulary in English. however .. I think "madly" is the most close meaning.
미치다 = This word has two meaning.
1. 미치다 = go mad, be crazy, out of one's mind .. and so on.
and 미치다 has "be insane" and "be enthusiastic"
2. 미치다 = reach, attain to, extend.. and so on.
For example) 1. 너는 미쳤다. (you are crazy.)
그 사람은 미쳤다. (the person is crazy)
나는 사랑에 미쳤다.(Im crazy in love. = Im crazy about you.)
2. 그녀를 위한 그의 마음은 사소한 데까지 미치고 있다.
For her, His mind reaches the details.
(I wrote up sentence like English grammar for your understanding meaning words)
손해는 이웃마을에까지 미쳤다.
The damage extended to the next village.
I think you want to write the first meaning "go mad" ^^;;