synthetic division for loop

[jspence29]

I am making a program that does synthetic division, except for it is not showing the quotient only the remainder. I have checked my for loops so many times, and I can't understant what is happening here is my code:

import java.util.*;
import java.lang.*;
class synthetic {

    static Scanner userInput = new Scanner(System.in);
    public static void main(String[] args) 
    {
        System.out.print("What is the highest degree of the polynomial function: ");
        int degree = userInput.nextInt();
        synthetic(degree);
    }
    public static void synthetic(int degree)
    {
        int[] coefficients = new int[degree+1];

        for(int i=0; i<=degree; i++)
        {
            if(i == 0)
            {
                System.out.print("Leading coefficient: ");
                coefficients[i] = userInput.nextInt();
            }   
            else if(i == degree)
            {
                System.out.print("Last coefficient: ");
                coefficients[i] = userInput.nextInt();
            }   
            else 
            {
                System.out.print("Next coefficient: ");
                coefficients[i] = userInput.nextInt();
            }
        }
        System.out.println(Arrays.toString(coefficients));
        System.out.print("What is the divisor: ");
        int divisor = userInput.nextInt();
        System.out.println(divisor);
        divide(coefficients, divisor);
    }
    public static void divide(int[] coefficients, int divisor)
    {
        int a = coefficients[0];
        int[] quotient = new int[coefficients.length-1];
        for(int i = 1; i<coefficients.length; i++)
        {
            int b = a*divisor;
            a = coefficients[i] + b;
            quotient[i-1] = a;
        }
        System.out.println(Arrays.toString(quotient));      for(int i=1; i<=quotient.length; i++)
        {
            if(i == quotient.length)
            {
                if(divisor<0) System.out.print(quotient[quotient.length-1]+"/x+"+Math.abs(divisor));
                else System.out.print(quotient[quotient.length-1]+"/x-"+Math.abs(divisor));
            }
            else 
            {
                int x = 0;
                for(int q = quotient.length-1; q<0; q--)
                {
                    if(q == 1)
                    {
                        System.out.print(quotient[quotient.length-2]+"x + ");
                    }
                    else 
                    {
                        System.out.print(quotient[x]+"x^"+q+" + ");
                    }
                }
            }
        }
    }   
}