instead of long division method this algorithm is used?

Instead of the long division method, one can use the polynomial long division algorithm or synthetic division, particularly for dividing polynomials. Synthetic division is a simplified version that specifically applies to linear divisors and is often faster and more efficient. Additionally, the Euclidean algorithm can be employed for finding the greatest common divisor of two numbers without performing lengthy division steps. These alternatives can streamline the process and often reduce computational complexity.