Separation
Segregation
noun, verbal noun
When you divide and detach things from each other, you're creating separation between them. Makes sense, right?
分離 is a word you might hear in science when discussing how different substances, like oil and water, don't mix and separate from each other.
Additionally, 分離 can also be a formal term used to describe separating groups of people, often in discussions about serious topics like social segregation.
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
なぜ政教分離の原則が大切か分かりますか？
Do you get why the separation of church and state is important?
クリームを牛乳から分離させる方法をググってみるよ。
I'm going to try and google how to separate cream from milk.
中央分離帯を走る危険な車をビデオに撮りました。
I recorded a video of a dangerous car driving on the median strip.
日本では、1868年の4月20日（旧3月28日）に、神仏分離令が出されたんです。
In Japan, on April 20, 1868 (March 28 in the old calendar), the order to separate Shinto and Buddhism was issued.