Divide Complex Numbers Calculator

Your details

Choose how you want to enter each complex number.
Real part of the dividend z1 = a + bi.
Imaginary part of the dividend z1 = a + bi.
Real part of the divisor z2 = c + di.
Imaginary part of the divisor z2 = c + di.
How many decimal places to show in the result.
Quotient (rectangular)
0.5000 + 2.5000i

Result in a + bi form

Quotient (polar)2.5495(cos 78.6901 + i sin 78.6901)
Quotient (exponential)2.5495 * e^(i * 78.6901 deg)
Real part of quotient0.5
Imaginary part of quotient2.5
Modulus of quotient2.5495
Argument of quotient78.6901deg
Real part0.5
Imaginary part2.5

z1 / z2 = 0.5000 + 2.5000i

  • The quotient in rectangular form is 0.5000 + 2.5000i.
  • Its modulus (distance from the origin in the complex plane) is 2.5495, which equals |z1| divided by |z2|.
  • Its argument is 78.6901 degrees, which equals the argument of the numerator minus the argument of the denominator.

Next stepTo verify, multiply the quotient by the denominator: the product should equal the numerator exactly.

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