public class ApproximateDivision {

    private long tOf(int b) {
        long t = 1;
        while(t < b)
            t <<= 1;

        return t;
    }

    public double quotient(int a, int b, int terms) {

        long t = tOf(b);
        long c = t-b;

        System.out.println("t: " + t);
        System.out.println("c: " + c);

        double q = 0;

        for(int i=0; i<terms; i++)
            q += Math.pow(c, i) / (t<<i);

        System.out.println("q: " + q);

        return a*q;
    }

    public static void main(String[] args) {
        System.out.println(new ApproximateDivision().quotient(2, 5, 2));
//      System.out.println(new ApproximateDivision().quotient(7,8,5));
//      System.out.println(new ApproximateDivision().quotient(1,3,10));
//      System.out.println(new ApproximateDivision().quotient(1,10000,2));
//      System.out.println(new ApproximateDivision().quotient(1,7,20));
//      System.out.println(new ApproximateDivision().quotient(0,4,3));
//      System.out.println(new ApproximateDivision().quotient(50,50,1));
    }
}