We are co-owner to a primary home with ownership of 50/50. When we report mortgage interest and property tax do we divide the number by half?

You can each deduct the amount that you actually pay individually to the lender and the municipality.

Unmarried couples claiming mortgage interest and property tax deductions.

You pretty much have a choice. One can claim it all or you can split it. It's usually best if only one claims it, allowing the other to use the standard deduction.

But, you have to meet the rules, which are:

1. You are legally obligated to pay it
2.  You actually pay it. Paying from a joint account where you made sufficient deposits to cover the payments will usually meet this standard. However, paying from your own account would be a stronger audit defense