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In arithmetic, the rest or residue of a division of two entire numbers is the number that has to be subtracted to the dividend so that it is equal to a certain number of times the divider. Equivalently, it is the number resulting from the dividend difference with the product of the divider by the quotient. I mean: Rest = dividendo. - (divider × quotient) {\ DISPLAYSTYLE {\ MBOX = dividend}} - {\ mbox {(divider}} \ times {\ mbox {quotient)}}}}} According to your rest, divisions are classified as accurate if your rest is zero or inaccurate when it is not. Generally, the rest of dividing x between and is usually expressed as X. MOD. and {\ DisplayStyle \ textStyle x {\ mbox}} and} . In practice, the rest of a division can be calculated using equations, in terms of other functions. In terms of the whole part function ⌊ X. ⌋ {\ DisplayStyle \ Lfloor X \ Rfloor} , the rest can be defined as: X. MOD. and : = X. - and ⌊ X. and ⌋ {\ DisplayStyle x {\ mbox}} and...