'Remnant' in the Bible

I will surely assemble, O Jacob, the whole of thee; I will surely gather the remnant of Israel; I will put them together as sheep of Bozrah, as a flock in the midst of their pasture: they shall make great noise by reason of the multitude of men.

and I will make her that halted a remnant, and her that was cast far off a strong nation; and Jehovah shall reign over them in mount Zion, from henceforth even for ever.

And the remnant of Jacob shall be in the midst of many peoples as dew from Jehovah, as showers upon the grass, that tarrieth not for man, neither waiteth for the sons of men.

And the remnant of Jacob shall be among the nations, in the midst of many peoples, as a lion among the beasts of the forest, as a young lion among the flocks of sheep: who, if he go through, treadeth down, and teareth in pieces, and there is none to deliver.

Who is a God like unto thee, that forgiveth iniquity, and passeth by the transgression of the remnant of his heritage? He retaineth not his anger for ever, because he delighteth in loving-kindness.