KanjiJLPT N3
Exclude

exclude, division (x/3), remove, abolish, cancel, except

Mnemonic

The village has grown to excess — too many mouths, not enough rice. The chief's harsh decree: Exclude all excess members! At dawn, guards escort surplus families beyond the village gates, cutting them off for good.
Additional thoughts
Picture an overcrowded village literally pushing people out through its gates. Excess causes exclusion — the two ideas link naturally. The village must subtract (divide away) its excess to survive.
Quick recall
A village with excess population must exclude the surplus beyond its gates.

Details

The keyword for 除 is exclude. This kanji conveys the idea of removing, getting rid of, or eliminating something from a group or situation. It carries the sense of setting apart or taking away what is unwanted, such as clearing obstacles or weeding out undesirable elements. By extension, it can also refer to division in mathematics, where a number is systematically separated into equal parts.
On'yomi
じょ、じ
Kun'yomi
のぞ.く、-よ.け