Breaking out agreements into separate documents again

I am very new to adobe acrobat sign, but our organization has decided to pursue and see if it works for us. 

What they would like to do, is take several documents, merge into an agreement, send out for signature, where a signature is required on each page.   Then when the agreement is received back, they want to break out the agreement into separate signed documents again.   

Is this functionality available?   Or is this defeating the purpose of an agreement?    I'm wondering if each document has to be a separate agreement?