You personally don't figure anything. The convention used in that first year is based on the in-service date of the property or asset. The program takes care of that automatically and it does so correctly.
TurboTax calculates $0 for depreciation,
That's probably because you indicated you have personal days used greater than zero, when days of personal use should be ZERO. Additionally, business use percentage would be 100% (one hundred percent) with zero days of personal use.
