Final answer:
The coordinating conjunction in the sentence is "and", which is used to join two independent clauses and show the relationship between them.
Step-by-step explanation:
The coordinating conjunction in the sentence "my little brothers wouldn't stop fighting over the remote" is and. It connects two independent clauses, which are "my little brothers wouldn't stop fighting" and "over the remote". The coordinating conjunction and is one of the seven coordinating conjunctions: for, and, but, or, yet, and so. In this sentence, it is used to join the two clauses and show the relationship between them.