fallen scraps; leftovers; odds and ends
Literally things that have fallen or been left behind; used for physical scraps, remnants, or the small, leftover bits of something. Sense 2 (leftovers, remainder) is a natural extension of the literal meaning.
There were fallen bread crumbs under the desk.
市場が閉まった後、野菜の落ちこぼれを拾う人がいる。
After the market closes, some people pick up leftover vegetables.
noun, noun which may take the genitive case particle 'no'
dropout; student who falls behind
Colloquial and sensitive term for a student who cannot keep up academically or socially, or a person who drops out of a group or movement. Often used in educational contexts. Can also be used as a no-adjective (e.g., 落ちこぼれの生徒).
See also: 浮きこぼれ
彼は授業についていけず、落ちこぼれになってしまった。
He couldn't keep up with the class and ended up a dropout.
落ちこぼれを出さないように、補習授業が行われている。
Remedial classes are held so that no student falls behind.
Unable to keep up with his studies, he ended up becoming a dropout.
Every year a few students fall behind and become dropouts in this class.
It's cruel to treat someone as a dropout just because of bad grades.