# 1. Introduction

In mathematics and computer science, division of two numbers results in a quotient and a remainder. The quotient is the result of division, while the remainder is what's left over if the division doesn't divide evenly. This concept is widely used in programming for various calculations, including algorithm design and control flow. Java, like many programming languages, provides operators for both division (/) to obtain the quotient and modulus (%) to get the remainder. This blog post will demonstrate how to find the quotient and remainder when dividing two integers in Java.

# 2. Program Steps

1. Declare and initialize two integer variables for the dividend and divisor.

2. Use the division operator (/) to calculate the quotient.

3. Use the modulus operator (%) to calculate the remainder.

4. Print both the quotient and the remainder.

# 3. Code Program

``````public class QuotientAndRemainder {
public static void main(String[] args) {
// Step 1: Declaring and initializing dividend and divisor
int dividend = 25;
int divisor = 4;

// Step 2: Calculating the quotient using the division operator
int quotient = dividend / divisor;

// Step 3: Calculating the remainder using the modulus operator
int remainder = dividend % divisor;

// Step 4: Printing the results
System.out.println("Quotient: " + quotient);
System.out.println("Remainder: " + remainder);
}
}
``````

### Output:

```Quotient: 6
Remainder: 1
```

### Explanation:

1. The program starts by defining two integer variables, dividend and divisor, and initializes them with the values 25 and 4, respectively. These represent the numbers to be divided.

2. To find the quotient (the result of the division), the program uses the division operator (/). It divides the dividend by the divisor and stores the result in the quotient variable.

3. To find the remainder (what's left over after the division), it uses the modulus operator (%). This operation divides the dividend by the divisor and stores the remainder of this division in the remainder variable.

4. Finally, the program prints out the values of the quotient and remainder variables, showing the results of the division and modulus operations, respectively.

5. This example illustrates the use of basic arithmetic operators in Java to perform division and modulus operations, a fundamental concept in both mathematics and computer science.