Division calculator

With our division calculator you will know the result obtained by dividing two real numbers.

The operation of the division calculator with remainder is very simple since you only have to write the value of the dividend and the divisor. When you have done it, press the calculate button and you will get the result of the division in decimal form or broken down by quotient and remainder, all automatically to make it easier for you to perform the division.

Parts of the division

Parts of a division

When we make a division of the type "D : d = c", a series of terms are involved that are useful to know:

  • D is the dividendi.e., the number to which we want to apply the division.
  • d is the divider or, in other words, the number by which we want to divide the dividend.
  • c is the result of the division and is called quotient

What is the remainder of a division?

If the division is not exact, a fourth term appears, which we call rest and which is the remainder of the division. You can use our division calculator to check each of these terms above.

Types of division

  • Exact DivisionThis type of division occurs when the remainder is zero (D = d - c). For example, if we divide 4 : 2 = 2
  • Integer divisionin this case, the division results in a quotient and a remainder different from zero, so that D = d - c + r. A practical example of integer division can be 5 : 2 = 2 with remainder 1.

Division properties

As with other mathematical operations, division also has a number of properties to know in order to avoid mistakes:

  • Not commutativethat is, dividing 4 : 2 is not the same as dividing 2 : 4.
  • Zero divided by any number equals zero. (0 : a = 0). If you have zero candy and you want to split it between two friends, how much candy does each friend get? That is, none because you have no candy.
  • It cannot be divided by zero.

Sign rule for division of integers

If you are going to divide two integersIf the sign of the quotient is the absolute value of the division between the dividend and the divisor, you will get a quotient that is the absolute value of the division between the dividend and the divisor but whose sign follows the following rule of signs:

  • + : + = +
  • – : – = +
  • + : – = –
  • – : + = –

Easy division by unity followed by zeros

If the divisor of our division is the unit (1) followed by zeros (10, 100, 1000,...), performing the operation is as easy as writing the quotient and shift the comma to the left as many places as there are zeros accompanying the unit. Here are some examples:

  • 132 : 1 = 132
  • 132 : 10 = 13,2
  • 132 : 100 = 1,32
  • 132 : 1000 = 0,132
  • 132 : 10000= 0,0132

Zero between zero: indeterminacy

One of the most frequently asked questions in exams, especially when studying limits in mathematics, is to calculate how much is zero divided by zero. Many, erroneously, say that the result is equal to zero but it is not true. 0/0 is an indeterminacy.

In the case of a division of type k/0in this case the operation is not defined. What we have to do is to solve the limit on the left and on the right to see if the result is equal to +infinity or equal to -infinity.

Divisibility criteria

When you want to learn how to divide, the easy solution is to resort to a division calculator as ours. However, there are a number of tricks that help us to know if a number is divisible by any of the following figures:

  • Between 2The number must end in 0 or an even number.
  • Between 3The sum of all the digits that make up the number must be a multiple of 3.
  • Between 4: the number formed by the last two digits is a multiple of 4
  • Between 5The last digit of the number must be 0 or 5.
  • Between 6The number must be divisible by 2 and by 3, both conditions at the same time.
  • Between 7The result of subtracting the number without the units and twice the number of units must be 0 or a multiple of 7.
  • Between 8You can divide a digit by 8 when the number formed by the last three digits is a multiple of 8.
  • Between 9: the sum of all digits of the number is a multiple of 9
  • Between 10only if the last digit is a 0.

Knowing these divisibility criteria can help us to solve divisions quickly and without resorting to the calculator.

How to make divisions in Excel

If you want to make your own division calculator in ExcelFollow the steps in the video above and you will be able to create your own division calculator using Microsoft's spreadsheet program or any other, as they usually use the same or very similar formulas.

Making divisions with quotient and remainder in Excel

If you want to obtain the quotient and remainder of a division in ExcelIf you do not use the formula, you must use the following mathematical formula for each one:

=QUOTIENT(A1;A2)

=RESIDUE(A1;A2)

A1 being the coordinate of the dividend and A2 the coordinate of the divisor.

Making divisions with decimals in excel

If you want to obtain a division with decimals in excelyou have to write the following formula in a cell:

=A1/A2

Remember that A1 and A2 are the coordinates of the cells in which the dividend and divisor are located respectively.

Division test

Parts of a division

If you want to check if a division is solved correctly, there is the division test. how is it done?

To do the division test the following equality must be fulfilled:

Dividend = divisor x quotient + remainder

Explained theoretically, the division test tells us that the dividend has to be equal to the multiplication of the divisor by the quotient to which we have to add the value of the remainder. If this is not fulfilled, the division is not right.

We have put back the photograph with the parts of the division so that it is clear what to take when checking if the account is well done.

In the example of the photograph, we are going to check by means of the division test if it has been well resolved:

24 = 2 x 12 + 0

As we can see, the equality is fulfilled and therefore the account has been done correctly.

If you are learning to divide, the division test will help you to find out if you have solved the exercise correctly or not. You can also use our division calculator to check if the result you have obtained coincides with ours.

Online division calculator, how it works

If you still have doubts about how to use our full division calculatorBelow you have an explanatory video in which we propose several examples of this mathematical operation. If you are still not sure how to use it, leave us a comment and we will be happy to help you with whatever you need.

You simply have to keep in mind that the online division calculator that we have developed shows the same end result but expressed in two different ways:

  • With decimalsThe result of the division (the quotient) is expressed in decimal form, so a comma separates the integer part from the decimal part.
  • Calculator with remainderin this case, the result of the division is divided into the quotient on one side and the remainder on the other.

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Divisions with the scientific calculator

division calculator

We are not going to tell you that with the scientific calculator you can make divisions just by pressing the key with this symbol ÷, right?

However, if I tell you to calculate the rest with the calculatorHow do you do it? By default the result will be in decimal format but there are several ways to get the value of the remainder.

Formula to calculate the remainder with the calculator

The first is by manual calculation, which never fails. To do this, we will apply the following formula to calculate the remainder:

Remainder = Dividend - (divisor x quotient)

For example, if we divide 7 by 5, we get a result equal to 1.4. We know that the quotient is the integer part, therefore, it is 1. Now we substitute in the above formula and we have that:

Remainder = 7 - (5 x 1) = 2

Easy, isn't it? Let's see another method of calculating the remainder with the calculator.

Division calculator with remainder

If you have a Casio or other brand of scientific calculator in your possession, there is a way to obtain the remainder of a division.

To do this, we solve the operation as usual and when we have the result in decimal format, we press the following keys:

Shift + Division calculator button

By doing so, the division calculator will show us the result in mixed fraction format. This means that we will be able to see a whole part (quotient) and a fraction whose numerator will be the remainder.

If we apply this to the example we have seen before, this will appear in the calculator display:

1┘2┘5

This means that the quotient is 1 and the remainder is 2.

If your calculator is more advanced or programmable, you may have the MOD function that calculates the remainder of a division more clearly.

Dividing fractions online

Division calculator

If you want to learn how to divide fractionswe also have a fraction division calculators in which we also show you how to perform the operation, regardless of whether the fractions have the same denominator or different denominators.

44 thoughts on “Calculadora de división”

    • Thank you GAMEFORFUN, we are glad you find it helpful. Don't forget to subscribe to our networks or share the tools you like the most. Best regards!

    • Thank you very much Natalia, we are very happy about your comment. Don't forget to follow us on Facebook and recommend us to your acquaintances. :D

    • Hi Natalia, can you tell us why? What were you looking for? So we add it so it can be more useful for you. Greetings and thanks for your feed.

    • What would be missing would be to put what comes out in the middle of the whole operation between the residue and the consenting party, i.e. perhaps the procedure'.

    • Hi Danna, we will write it down for future development. Thank you very much for the suggestion!

    • Can you give us more information about the bug? You don't get the calculator after the second paragraph? Do you use ad blocker? Thanks for the feedback

    • Thank you very much Jec, we are glad you found it useful! Our website is open whenever you want, we hope to see you soon.

    • Thank you very much Alfonso,

      It is something that we will add in the future but right now we have a lot of work ahead of us so we can't give a concrete date for the improvement. But we promise it will come as you are asking for it.

      Best regards!

  1. It is a great help in case you have any doubts that do not come out in any mathematical operation.
    A kiss to all of you

    Reply
    • Thank you very much for your support Susana, comments of appreciation for our calculators are always appreciated :)

    • Hello Nawal,

      We are going to see each of the divisions separately, both in decimal form and the result with quotient and remainder:

      First division: 1272:15.2

      - Result: 80.92
      - The quotient is 80 and the remainder is 14.40

      Second division: 9832:1.64

      - Result: 5,995.12
      - The quotient is 5,995 and the remainder 0.20

      I hope it has helped you. If you have any questions, please let us know.

    • Thanks Salomé, don't forget to visit us and share the web in your social networks. Surely your acquaintances also like our calculators :)

  2. I loved this calculator, it is not like the normal ones that tell you the result and that's it. But it would be better if it showed the division process.

    Reply
    • Hello Joaquín, this is the result of your division: 1.255,77

      What problem have you had with the calculator?

  3. good , I would like to know if in excel or in some mathematical calculator you can solve this exercise (3+5*2-45^2)+32div(3-7)^2*3^3+5 , I am interested in knowing how to solve thanks and if there is a calculator for these exercises.

    Reply
    • Hello Pepe,

      The Casio scientific calculators can solve this type of operation without any problem.

      They are prepared to respect the order of operations and the one you put is quite simple, so you will have no problem.

      Greetings!

  4. Good, I have found an error in the calculator, for example if you divide -17 by 5 it returns that the remainder is -2 and the quotient is 3, which is wrong because by the theorem of uniqueness of quotient and remainder, the remainder can never be negative, which leads us to the quotient is 4 and the remainder is 3.
    Otherwise it works very well.

    Reply

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