To Arrange
To Organize, To Sort
する verb, transitive verb
When you arrange something with reason you're arranging it. That's why this is to arrange.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
少し整理する
to organize a little
すっきり整理する
to tidy up neatly
しっかり整理する
to organize properly
全体的に整理する
to organize as a whole
きれいに整理する
to organize neatly
表に整理する
to organize into a table
問題を整理する
to sort out a problem, to summarize the key points of a problem
考え方を整理する
to put one's thinking in order
気持ちを整理する
to put one's feelings in order
このデータを全て整理するには、かなり時間がかかると思います。
I think it will take quite some time to organize all this data.
ちょっと一回、話を整理させてもらっていいかな？
Can I take a moment to organize your story?
あの社員に、デスクを整理するよう言っておいて！
Tell that employee to tidy up their desk!