Doubt in electrodynamics

Refer David J Griffiths' Intro to Electrodynamics, Third Edition.
Page 305-306. Griffiths has claimed that we may split the electric field as E1 and E2 where E1 is due to the charges, and E2 is due to the changing magnetic field. He's referred to E2 as G in the footnote. He then says that as far as G is concerned, divergence of G is zero. Why is it so? He's claimed that it is due to Gauss' Law. But Gauss' Law is defined for E1, right. Or is it that this is something like Extension of Gauss' Law to include E2, i.e. G?