You're Being Summoned, Azazel-san (2011)

Original title: よんでますよ、アザゼルさん。

Have a stalker you just can't shake? Fear your spouse is being unfaithful? You might consider hiring Akutabe, a detective who summons demons to do his dirty work. While his methods might seem unorthodox, he always gets results. However, as powerful as Akutabe is, manipulating demons is a delicate art. His new part-time employee Sakuma, a young college girl, doesn't get to spend too much time exploring the finer points of controlling demons before Akutabe forces her into a demonic contract with Azazel. Azazel is lazy, lustful, and depraved... Everything you'd expect a demon to be. Sakuma needs to keep Azazel on a tight leash, but to do that, she may have to dabble in a little depravity herself.