Quotient and remainder calculator with negative numbers

Online division calculator. Divide 2 numbers and find the quotient.

Enter dividend and divisor numbers and press the =  button to get the division result:

Dividend

÷

Divisor

Quotient (decimal)

Quotient (integer)

Remainder

  Remainder calculation

Multiplication calculator ►


See also

  • Multiplication calculator
  • Remainder calculator
  • Addition calculator
  • Subtraction calculator
  • Dividing fractions calculator
  • Logarithm calculator
  • Logarithm

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About Quotient and Remainder Calculator

This tool is used to calculate the quotient and remainder of a division of two whole numbers Dividend and Divisor given by Dividend/Divisor = Quotient + Remainder/Divisor.

FAQ

In arithmetic, a quotient is the quantity produced by the division of two numbers. For example, (10/3) = 3.

A remainder is the integer left over after dividing one integer by another. For example, the remainder of 10/3 is 1.

Input Dividend and Divisor and click Calculate Quotient and Remainder button. Please note you must input whole numbers on the form.

Whole numbers are integers greater or equal to 0. For example:0, 7, 81, 3897 are all whole numbers, but 1/5, 6.78, 100.00001 are not whole numbers.

Related

  • Modulo Calculator
  • Divisibility Test Calculator


Dividend

Divisor

The division with remainder or Euclidean division of two natural numbers provides a quotient, which is the number of times the second one is contained in the first one, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of the second number can be allocated.

Calculator Use

Do long division with decimal numbers and see the work for the calculation step-by-step. Enter positive or negative decimal numbers for divisor and dividend and calculate a quotient answer.

How to Do Long Division with Decimals

  1. If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. Then move the decimal point in the number you're dividing the same number of places to the right.
  2. Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.
  3. Divide until the remainder is zero, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your answer is a repeating decimal.

Calculate Decimal Places for a Quotient Answer

How far do you want to calculate the decimal places for the answer? Here are some examples:

  • 31 divided by 16 = 1.937500 calculating to 6 decimal places
  • 31 divided by 16 = 1.937 calculating to 3 decimal places
  • 22 divided by 15 = 1.466666666 calculating 9 decimal places
  • 22 divided by 15 = 1.466666 calculating 6 decimal places
  • 22 divided by 15 = 1.466 calculating to 3 decimal places

Note that this is not the same as rounding to a specific number of decimal places. For example, 22 divided by 15 = 1.466 when calculated to 3 decimal places because you stop once you reach the third decimal place. On the other hand, 22 divided by 15 = 1.467 when rounded to 3 decimal places. In order to round to the third decimal place you must calculate to at least the fourth decimal place so that you know how to round the third decimal place. See our Rounding Numbers Calculator for more information.

Also see our Long Division with Remainders to see the work for long division with remainders.

Parts of Division

For the division problem 471 divided by 32:

  • 471 is the dividend
  • 32 is the divisor
  • 14.718 is the quotient calculated out to 3 decimal places

Quotient and remainder calculator with negative numbers

How to do Long Division with Decimals: Example

In this problem we divide 4.71 by 3.2 out to 3 decimal places in the quotient answer.

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

If the divisor is a decimal number, move the decimal all the way to the right. Count the number of places and move the decimal in the dividend the same number of places. Add zeroes if needed.

Since 3.2 is not a whole number move the decimal point one place to the right. 32 is a whole number. Do the same to the dividend and move the decimal one place to the right.

Since we are solving to 3 decimal places, add two trailing zeroes to the dividend.

Insert a decimal point above the division bar, directly above the new decimal position in the dividend.

Divide the left most number of the dividend by the divisor, in this case divide 4 by 32.

Since 4 divided by 32 is not a whole number, the first quotient digit is 0.

Multiply the divisor 32 by the quotient 0 to get the product 0. Subtract 0 from 4 to get the remainder 4.

Next, bring down the 7 from the dividend so you have 47.

What is 47 divided by 32? Or in other words, how many times does 32 go into 47? Just once, with a remainder.

Insert 1 in the quotient. To find the remainder, multiply the divisor by 1 and subtract the product 32 from the second dividend 47. The remainder is 15.

Again, bring down the next digit from the dividend, 1, and place it at the end of the remainder.

Repeat the steps. What is 151 divided by 32? Or, how many times does 32 go into 151?

32 goes into 151 four times. Put a 4 in the next place in the quotient and multiply 32 by 4 to get 128.

Subtract that product from 151 to find a remainder of 23.

Bring down the 0 from the dividend and insert it after 23 to get 230.

What is 230 divided by 32? 32 goes into 230 seven times. Put a 7 in the next place in the quotient.

32 times 7 is 224.

230 minus 224 leaves a remainder of 6.

Now bring down the next zero from the dividend and repeat the steps.

32 goes into 60 only once. Put a 1 in the next place in the quotient.

32 multiplied by 1 is 32.

Subtracting 32 from 60 leaves a remainder of 28.

Wikipedia: Long Division

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Quotient and remainder calculator with negative numbers
Quotient and remainder calculator with negative numbers

How do you find the remainder of a negative number?

The remainder operator can be used with negative integers..
Perform the operation as if both operands were positive..
If the left operand is negative, then make the result negative..
If the left operand is positive, then make the result positive..
Ignore the sign of the right operand in all cases..

What are the quotient and remainder when − 11 is divided by 3?

In the book Discrete Mathematics and Its Applications, 8e, Kenneth Rosen the quotient and remainder when −11 is divided by 3 are specified as −4 and 1 respectively.

Can quotient be negative?

When you divide a negative number by a positive number then the quotient is negative. When you divide a positive number by a negative number then the quotient is also negative.