Math

Long Division Calculator (Quotient and Remainder)

Enter the dividend and divisor.

By TheCalcTools Updated Formula checked and tested

Your numbers

Your results

Quotient
Quotient
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Remainder
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Exact decimal
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Check
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As a mixed number
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Long Division Calculator (Quotient and Remainder) by TheCalcTools

How the Long Division Calculator (Quotient and Remainder) works

Long division finds how many times the divisor fits into the dividend (the quotient) and what is left over (the remainder): dividend = quotient × divisor + remainder.

Continuing past the decimal point gives the decimal digits. For negative numbers this calculator truncates toward zero, as most calculators and programming languages do.

The formula

a = q × b + r, 0 ≤ |r| < |b|

Worked example

Using the default values shown in the calculator:

Dividend (number being divided)1475
Divisor12
  1. 1475 ÷ 12 = 122 remainder 11.
  2. Check: 122 × 12 + 11 = 1475. Decimal: 122.91(6).

Result:

Quotient122
Remainder11
Exact decimal122.91(6)
Check122 × 12 + 11 = 1475
As a mixed number122 11/12

Frequently asked questions

What is 1475 ÷ 12?

122 remainder 11, or 122.91(6) as a decimal.

Sources and further reading

Modulo Calculator (a mod n)Enter a number and the modulus Fraction to Decimal Calculator (Repeating Decimals)Enter a numerator and denominator to see the exact decimal Simplify Fraction Calculator (Reduce to Lowest Terms)Enter the numerator and denominator to simplify the fraction Percentage CalculatorChoose the question you want answered, enter two numbers, and get the percentage result… Percentage Change CalculatorFind the percentage change from an old value to a new value Ratio Simplifier CalculatorSimplify a ratio A : B to its lowest terms

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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.