Sure, here is a Java program to compute the quotient and remainder of two numbers:

import java.util.Scanner;

public class QuotientRemainder {
   public static void main(String[] args) {
      
      Scanner input = new Scanner(System.in);

      System.out.print("Enter dividend: ");
      int dividend = input.nextInt();

      System.out.print("Enter divisor: ");
      int divisor = input.nextInt();

      int quotient = dividend / divisor;
      int remainder = dividend % divisor;

      System.out.println("Quotient = " + quotient);
      System.out.println("Remainder = " + remainder);
   }
}

This program first prompts the user to enter the dividend and divisor using the Scanner class. It then calculates the quotient by dividing the dividend by the divisor using the / operator, and calculates the remainder using the % operator. Finally, it prints out the values of the quotient and remainder to the console.