Dividing Complex Numbers Calculator

Use the handy and user-friendly Dividing Complex Numbers Calculator tool to acquire the result in no time. Simply provide the complex number values in the input field and tap on the enter button to get the concerned output.


Ex: 21+2i/4+4i or 8+2i/4+4i

Dividing Complex Numbers of:

Dividing Complex Numbers Calculator:Learning Complex Number division becomes necessary as it has many applications in several fields like applied mathematics, quantum physics. You may feel the entire process tedious and time-consuming at times. To help you in such scenarios we have come with an online tool that does Complex Numbers Division instantaneously. Make your calculations accurate, easy, and get the entire process in detail.

What is meant by Dividing Complex Numbers?

Complex Number is a combination of both real numbers and imaginary numbers. Complex Number is of the form a+bi where a, b are real numbers and i is the imaginary unit. Division of Complex Numbers will result in Complex Numbers. Complex Numbers division illustrates how complex numbers behave with respect to the basic division operation corresponding to real and imaginary parts.

How to divide Complex Numbers?

Follow the simple and easy guidelines listed below and know the procedure on how to divide complex numbers manually. They are along the lines

  • Multiply the given complex number with the conjugate of the denominator on both numerator and denominator.
  • Distribute the number in both the numerator and denominator to eliminate the Parenthesis.
  • Simplify the Powers of i.
  • Combine the like terms and write the solution in the form of a+bi
  • Simplify the obtained value needed as per your requirement.

Multiply the denominator(c+di) with conjugate (c-di) and you will get the result as under

The formula for Complex Numbers division is as such

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Dividing Complex Numbers Calculator

FAQs on Dividing Complex Numbers

1. How do you divide complex numbers?

To divide the complex numbers multiply the given complex number with the conjugate of the denominator on both numerator and denominator. Combine the Like terms and express the solution in the form of a+bi.


2. What is the formula for the division of complex numbers?

The formula for dividing complex numbers is


3. Where do I get a detailed explanation for the division of complex numbers?

You can get a detailed explanation for the division of complex numbers on our page.


4. What is the division of complex numbers (7+6i) and (2+3i)?

Step 1: Given expression

Step 2: Multiply with the complex conjugate of the denominator both numerator and denominator

Step 3: Simplifying the equation further we get the result as follows

Multiplying the expression (7+6i) and (2-3i) we get

= 7(2-3i)+6i(2-3i)

= 14-21i+12i-18i2

= 14-9i-18(-1)

=32-9i

Thus, the expression can be rewritten as