Need direction on best practice for supplier set up with multiple divisions (Example: J&J)

Summary:

We have built a separate supplier number for each of the divisions so that we can direct the orders to the proper division.  The problem we are finding is that JNJ invoices us as JNJ Healthcare and not by the name of the division so our AP team can’t match the invoice to the PO because it’s under 2 different names.  We used to have JNJ all under one supplier number and we made various sites for each division under that supplier but that caused all kinds of problems with division mixups.

Our consulting company advised us incorrectly on this set up and we are needing some direction on how to correct these issues. We have a handful of vendors (10 or less) that are in a similar situation and we are looking for best practice on how to set these up so that they do not cause issues on payables with inbound invoice auto match side or on PO Outbound side.