Algebraic K-theory has applications in a broad range of mathematical subjects, from number theory to functional analysis. Algebraic K-theory is also fiendishly hard to calculate. Presently there are two main inroads: motivic and cyclic (co)homology. I’ve been asked to "present an overview of this topic from a historical perspective”. The timeline spans from the very early days of algebraic K-theory to the present, starting with ideas in the seventies around the ”tangent space” of algebraic K-theory all the way to the current state of affair where we see a resurgence in structural theorems, calculations and a realization that variants of cyclic homology have important things to say beyond the moorings to K-theory.