동사-(으)려고: 나는 신발을 찾으려고 모래사장을 돌아다녔어요.
Use -(으)려고 after a verb stem to show purpose or intention, like 'in order to ...' or 'to ...'. Use -려고 after vowel stems and -으려고 after consonant stems. In the story, '찾으려고' means the narrator walked around for the purpose of looking for the shoes.
나는 신발을 찾으려고 모래사장을 돌아다녔어요.
I walked around the sandy beach in order to look for my shoes.
