Can someone check my depreciation math?

A little rusty but.....Purchased a house in 2008.  Moved out in 2012 but wanted to keep the house so I converted to rental property.  Sold house in 2020

 

My annual depreciation for purchase price is $175,000/27.5 = $6,363

Adjusted cost basis is $175,000 - ($6,363x8) = $124,096

Realized gain is $175,000 - $124,096 = $50,904

Unrecaptured gain is $6,363 x 8 = $50,904

Capital gain is $50,904 - ($6,363x8) = $0

 

My question:  Is it the unrecaptured gain that is being taxed?