Depreciating a Car across Two Buisnesses

My partner and I are both self-employed (in different businesses), and since we're unmarried we file separately (both with Schedule C). We will be acquiring a new car since it was a good year, and we'd both like to claim the (substantial) depreciation deduction, according to each of our respective business use of the car. Is this possible? The car will likely only be registered in one person's name.