You can find an explanation in the Wikipedia article on "Long division". You can also find more detailed explanations in school textbooks on math.
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When do you use long division?You use long division when the number you are dividing is too big to do in your head or use short division.
The result of Long division is called a quotient.
By long division.By long division.By long division.By long division.
It is one method for performing a division.
Having watched a video on synthetic division, which stated that: "In algebra, synthetic division is a method of performing polynomial long division." I don't think that they are similar.