We present results for the pseudogap ground state and its doping evolution in single-layered copper-oxide Bi 2 Sr 2− x La x CuO 6+ δ . We apply very high magnetic fields up to 44 T to remove the superconducting state and reveal the hidden low temperature ( T ) normal state. Through 63 Cu-NMR Knight shift and spin-lattice relaxation rate measurements, we find that there remains a finite density of states (DOS) at the Fermi level in the zero- T limit when the superconductivity is removed, which indicates that the pseudogap ground state is a metallic state with a finite volume of Fermi surface. The residual DOS in the pseudogap ground state decreases with decreasing doping (increasing x ), but remains quite large even at the vicinity of the magnetically ordered phase of x ≥ 0.8. The result indicates that the superconductivity emerges from the remaining Fermi surface and coexists with the pseudogap.