div to fill the height of parent

Question

I want to fill the height remaining of the parent with black color.

I put a div with class fill-black in this page :

http://diary.applyss.me/blouses/2-7-chemisier.html#/1-taille-s/11-couleur-noir

In the center column, I put the div just below the text Détails du produit

I tried to use some flex properties, I want this div to fill the height of the parent. Is is possible using only CSS ?

I tried :

.fill-black {
    display: flex;
    flex-flow: column nowrap;
    align-items: stretch;
    background: #000;
}

Here is a visual of what I want : http://b3.ms/6x1nzg1rMDQG

I put height to 200px, but I want this height to be responsive.