Advanced Polynomial Division Calculator

Polynomial long division is a method for dividing a polynomial by another polynomial of the same or lower degree.

Steps:

1. Arrange: Write the problem in long division format, ensuring both polynomials are in standard form with placeholders (like \(0x^2\)) for any missing terms.
2. Divide: Divide the first term of the dividend by the first term of the divisor. This gives the first term of the quotient.
3. Multiply: Multiply the entire divisor by the term of the quotient you just found.
4. Subtract: Subtract the result from the dividend. Bring down the next term from the dividend to form a new polynomial.
5. Repeat: Repeat steps 2-4 with the new polynomial until the degree of the remainder is less than the degree of the divisor.