Suppose $\mathcal{B}$ is a Banach space which is not isomorphic to a Hilbert space. And $\mathcal{M}$ is a closed subspace of $\mathcal{B}$. What condition should I pose on $\mathcal{B}$ such that the quotient space $\mathcal{B}/\mathcal{M}$ is isomorphically isometric to some closed subspace of $\mathcal{B}$?