How do I fix the joint between the wall and the brick?

[bjornlof]

Hi! I've been bothered by this seam ever since I moved into the house. How can I tidy it up in the best way? Should I use a trim or putty? If trim is the best way, how do I make it look nice against the floor and ceiling trim? The brick wall is a bit uneven and the wall sticks out a few mm further than the brick.

 

[Sernando]

Mix together some mortar and fill as you see fit.

 

[bjornlof]

All right, have never worked with mortar but it feels like it would be difficult to make it look nice! Especially considering that the wooden wall sticks out a bit.