Program to find Quotient And Remainder in Java

In Java, the quotient is the result of integer division, and the remainder is what is left after the division.

Example:

7 / 2 = 3 quotient, 7 % 2 = 1 remainder

Approach:

• Divide the dividend by the divisor using the / operator to get the quotient.
• Use the % operator to get the remainder.

Expressions used in the program:

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

Note: The program will throw an ArithmeticException: / by zero when divided by 0. 

Example 1: This program demonstrates how to find the quotient and remainder of two integers in Java.

public class QuotientAndRemainder {
    public static void main(String[] args) {
        int dividend = 556, divisor = 9;
        int quotient = dividend / divisor;
        int remainder = dividend % divisor;

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

The Quotient is = 61
The Remainder is = 7

Explanation:

• dividend / divisor computes the quotient : 556 / 9 = 61.
• dividend % divisor computes the remainder : 556 % 9 = 7.
• System.out.println is used to display the results.
• Time Complexity: O(1) and Auxiliary Space: O(1)

Example 2: This program calculates the quotient and remainder for a negative dividend in Java.

public class QuotientAndRemainder {
    public static void main(String[] args) {
        int dividend = -756, divisor = 8;
        int quotient = dividend / divisor;
        int remainder = dividend % divisor;
        System.out.println("The Quotient is = " + quotient);
        System.out.println("The Remainder is = " + remainder);
    }
}

Explanation:

• dividend / divisor computes the quotient : -756 / 8 = -94.
• dividend % divisor computes the remainder : -756 % 8 = -4.
• System.out.println is used to display the results.
• Time Complexity: O(1) and Auxiliary Space: O(1)

Example 3: This program demonstrates that division by zero in Java throws an exception.

public class QuotientAndRemainder {
    public static void main(String[] args) {
        int dividend = 56, divisor = 0;

        int quotient = dividend / divisor;
        int remainder = dividend % divisor;
        System.out.println("The Quotient is = " + quotient);
        System.out.println("The Remainder is = " + remainder);
    }
}

Output:

Exception in thread "main" java.lang.ArithmeticException: / by zero
at QuotientAndRemainder.main(QuotientAndRemainder.java:7)

Explanation:

• dividend / divisor and dividend % divisor are invalid when divisor = 0.
• Executing the program throws ArithmeticException: / by zero.
• Java does not allow division or modulo by zero, and the program will terminate abnormally.