Question 1

Why is remainder required to be smaller than the divisor?

Accepted Answer

That rule guarantees uniqueness of the quotient and remainder representation for integer division under the standard convention.

Question 2

Can this work for decimals too?

Accepted Answer

Some widgets support decimal dividends by scaling. If not supported, convert decimals to fractions or integers first.

Question 3

What if the divisor is larger than the dividend?

Accepted Answer

Then the quotient is zero and the remainder is the dividend under the usual integer convention.

Long Division Calculator

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