So you're making a couple of mistakes probably.
First, residential real estate is depreciated over 27.5 years, but you use a mid-month convention... so you get a half month of depreciation for the first month.. and then a full month after that. (If you get the placed into service date right, TurboTax will surely handle this right for you.)
Second, probably you would segregate the costs a bit. Some of what you are renting isn't residential real estate: appliances, possibly furniture, etc. This stuff gets depreciated over shorter lives and you use a mid-month or mid-quarter convention depending on the facts. To use your example, you maybe shouldn't depreciate $75K as residential real estate but rather only $70K... and then another $2K of appliances... and then $3K of furniture. If you break out the costs right and get the dates entered, TurboTax should also handle this correctly.
I will say, though, depreciation is one thing that people often bungle with TurboTax. (The other is carrying forward the passive losses that get suspended.)