Long Division Calculator
That Shows and Explains Each Step

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The Long Division Calculator on this page will show and explain the steps it took to solve the division problem.

This free online calculator will divide one number (dividend) by another number (divisor) using the long division method, and show and explain each step.

The calculator will accommodate divisors and dividends containing decimal points, and will give the remainder in both the whole number and the decimal format.

Plus, unlike other online long division calculators, the calculated results will list the 1-9 multiples of the divisor to help you learn your factors, and will also report the detection of patterns which may indicate the result is a recurring decimal.

How To Do Long Division

To show you how to do long division I will give the actual calculator results involving four common long division scenarios:

  • Dividing whole numbers with no remainder.
  • Dividing whole numbers with whole remainder.
  • Dividing decimal numbers with no remainder.
  • Dividing decimal numbers with decimal remainder.

To follow the steps I took as I proceeded through each long division example, scroll each question-mark to the top portion of screen and hover your mouse over the question mark.

Dividing Whole Numbers With No Remainder

  « Quotient
Divisor » 3 1443 « Dividend
Multiples
of 3
1 3
2 6
3 9
4 12
5 15
6 18
7 21
8 24
9 27
    1 2 3 4
    0 4 8 1
  3 1 4 4 3
Help - 1 2
Help   2 4
- 2 4
Help   0 3
- 3
Help   0
-


Since 3 x 481 does equal 1443, our solution checks out.



Dividing Whole Numbers With Remainder

  « Quotient
Divisor » 5 123 « Dividend
Multiples
of 5
1 5
2 10
3 15
4 20
5 25
6 30
7 35
8 40
9 45
    1 2 3
    0 2 4
  5 1 2 3
Help- 1 0
Help   2 3
- 2 0
Help   3


Since 5 x 24 + 3 does equal 123, our solution checks out.



Dividing Decimal Numbers With No Remainder

  « Quotient
Divisor » 5.5 220 « Dividend
Multiples
of 55
1 55
2 110
3 165
4 220
5 275
6 330
7 385
8 440
9 495
      1 2 3 4
      0 0 4 0
Help 5 5 2 2 0 0
Help - 2 2 0
Help   0
-


Since 5.5 x 40 does equal 220, our solution checks out.



Dividing Decimal Numbers With Decimal Remainder

  « Quotient
Divisor » 3.33 99.99 « Dividend
Multiples
of 333
1 333
2 666
3 999
4 1332
51665
6 1998
7 2331
8 2664
9 2997
        1 2 3 4 5 6 7 8 9 10 11 12 13
        0 0 3 0 0 2 7 0 2 7 0 2 7
Help 3 3 3 9 9 9 9 0 0 0 0 0 0 0 0 0
Help - 9 9 9
Help   0 9 0 0
- 6 6 6
Help   2 3 4 0
- 2 3 3 1
Help   9 0 0
- 6 6 6
Help   2 3 4 0
- 2 3 3 1
Help   9 0 0
- 6 6 6
Help   2 3 4 0
- 2 3 3 1
Help   9
-


Since 3.33 x 30.027027027 does not equal 99.99, either the calculator ran out of room before the long division was completed, the quotient contains a recurring decimal, or there is a rounding issue between the calculated result and the long division result. In this case it appears to be a repeating decimal.

With that, let's use the Long Division Calculator to create a step-by-step explanation of how to use long division to find the quotient of one number divided by another, and to check your work during long division practice sessions.

Long Division Calculator
Calcy sign introducing Long Division Calculator


Instructions: Enter the divisor (the number you are dividing into another number).

Next, enter the dividend (the number you are dividing a number by).

Next, click the "Calculate Long Division" button.

Mouse over the blue question marks for a further explanation of each entry field. More in-depth explanations can be found in the glossary of terms located beneath the Long Division Calculator.

Important: In order to show its work this calculator converts numbers to and from text while proceeding through the long division problem, which is not an exact science. Therefore be sure to check the results by multiplying the quotient by the divisor to make sure that product equals the dividend.

  Divisor Dividend
Help Enter divisor and dividend:
Help Long division quotient:
Help Calculated division quotient:
Help Whole number portion of quotient:
Help Remainder:

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Long Division Calculator Glossary of Terms

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Divisor: Enter the divisor in the first entry box on this line (number greater than zero). The divisor is the number being divided into another number.

Dividend: Next enter the dividend in second entry box (number greater than zero). The dividend is the number being divided by another number.

Long division quotient: This is the result the long division calculator stopped at. Please double check this result with the result on the next line.

Calculated division quotient: This is the result you would likely get if you used a standard calculator for the division. This result is provided as a means to check the long division result for accuracy. Note that if the result contains more than 16 digits the last digit(s) is likely rounded.

Whole number portion of quotient: This is the whole number portion of the quotient. The quotient is the result of dividing one number by another.

Remainder: This is what is left after multiplying the whole number portion of the quotient by the divisor, and then subtracting that result from the dividend.

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