God didn’t divorce Israel, but he did “put her away”. If you understand the distinction in the OT between the two things, it’s an important difference that clarifies a lot of confusion.
“The LORD said also to me in the days of Josiah the king: “Have you seen what backsliding Israel has done? She has gone up on every high mountain and under every green tree, and there played the harlot. And I said, after she had done all these things, ‘Return to Me.’ But she did not return. And her treacherous sister Judah saw it. Then I saw that for all the causes for which backsliding Israel had committed adultery, I had put her away and given her a certificate of divorce; yet her treacherous sister Judah did not fear, but went and played the harlot also. So it came to pass, through her casual harlotry, that she defiled the land and committed adultery with stones and trees. And yet for all this her treacherous sister Judah has not turned to Me with her whole heart, but in pretense,” says the LORD.” (Jeremiah 3:6–10, NKJV)