Translation of "Disagreement" in Spanish

You see, the thing about disagreement

Lo que pasa con el desacuerdo

Tom intervened in his coworkers' disagreement.

Tom intervino en la disputa de sus colegas.

We had quite a disagreement about it.

Nosotros teníamos un pequeño desacuerdo acerca de eso.

You know the kinds of disagreement I mean.

Saben el tipo de desacuerdos a los que me refiero.