Divide: to separate into parts, groups, sections, etc.
Conquer:
to acquire by force of arms; win in war
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Divide and conquer is computer science. It is an important algorithm design.
Organize your sources and conquer your obstacles.
That means that you divide one power by another one.
To split can mean divides in two. To halve also means to divide in two.
A quotient is the answer you get when you divide two numbers by one another.