Perform arithmetic long division with remainder and decimal output.
Division
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Quotient & Remainder
Quotient (q)102
Remainder (r)10
Decimal Value102.833333
Result: 1234 = 12 × 102 + 10
About this calculator
Long Division
Long division is a standard arithmetic algorithm for dividing large numbers, breaking the problem down into a series of easier steps. It calculates the quotient and remainder such that Dividend = Divisor × Quotient + Remainder.
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Pro Tips
Euclidean Division: For integers a and b (b ≠ 0), unique integers q and r exist satisfying a = bq + r with 0 ≤ r < |b|.
Decimal Conversion: Continue the division process past the decimal point to get a precise value.
Check Work: Multiply quotient by divisor and add remainder to get original dividend.
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Fun Facts
"The modern notation for long division was popularized in the 18th century."
"Before calculators, long division was the only way to compute precise ratios."
"Polynomial long division follows the same algorithmic logic!"
