Remnant Saved

Romans 11:1-5   
1 I say then, has God cast away His people? Certainly not! For I also am an Israelite, of the seed of Abraham, of the tribe of Benjamin. 2 God has not cast away His people whom He foreknew. Or do you not know what the Scripture says of Elijah, how he pleads with God against Israel, saying, 3 “Lord, they have killed Your prophets and torn down Your altars, and I alone am left, and they seek my life”? 4 But what does the divine response say to him? “I have reserved for Myself seven thousand men who have not bowed the knee to Baal.” 5 Even so then, at this present time there is a remnant according to the election of grace.

God did not cast all of the nation of Israel aside because of their disobedience, their sin. Those He knew and chose as a people were not all lost.  Those of the remnant who did not turn from Him to other gods were reserved by God, chosen, to not bow to those others - this was as now a remnant by means of grace as elected, chosen before time by God to be His.  We also are chosen, known, and caused to not go to another god, but to the only true God through the Lord Jesus Christ.  God calls and chooses few from the many called, as the road to Him is narrow compared to the wide way to judgment.  The gospel has gone out to the whole world as the Law to all Israel, yet He knows who are His out of the many.  If it were not so, either all or none would come to salvation.