'Remnant' in the Bible

I will surely assemble, Jacob, all of you; I will surely gather the remnant of Israel; I will put them together as the sheep of Bozrah, as a flock in the midst of their pasture; they will swarm with people.

and I will make that which was lame a remnant, and that which was cast far off a strong nation: and Yahweh will reign over them on Mount Zion from then on, even forever."

The remnant of Jacob will be in the midst of many peoples, like dew from Yahweh, like showers on the grass, that don't wait for man, nor wait for the sons of men.

The remnant of Jacob will be among the nations, in the midst of many peoples, like a lion among the animals of the forest, like a young lion among the flocks of sheep; who, if he goes through, treads down and tears in pieces, and there is no one to deliver.

Who is a God like you, who pardons iniquity, and passes over the disobedience of the remnant of his heritage? He doesn't retain his anger forever, because he delights in loving kindness.