Division is a fundamental concept in mathematics with various applications in our everyday lives. It involves splitting or dividing things into equal parts or groups. Division helps us solve problems related to sharing, measuring, and comparing quantities.

In this blog post, we will explore the process of dividing numbers using long division as an example. We’ll also discuss the concept of remainders and the practical applications of division in real-life scenarios. Let’s delve into the fascinating world of division and its significance!

Dividing Using Long Division:

Long division is a step-by-step method used to divide numbers and find the quotient and remainder. Let’s understand how to divide 18 by 4 using long division:

  1. Divide the first digit of the dividend (18) by the divisor (4). If the divisor cannot be subtracted from the digit, bring down the next digit and continue the process.
  2. Repeat step 1 with the new dividend until you have completed the division process.

The quotient is the result of dividing the numbers, and the remainder represents the amount that is left over after the division. In the case of dividing 18 by 4, the quotient is 4 and the remainder is 2.

The Concept of Remainders:

Remainders play a crucial role in division as they represent the leftover or fractional part of the division. Understanding remainders is essential for a complete understanding of division.

In the example of dividing 18 by 4, the remainder of 2 tells us that after dividing 18 into 4 equal parts, 2 parts are left over. In real-life scenarios, this concept becomes clearer. For instance, if you have 18 cookies and want to divide them equally among 4 friends, each friend would receive 4 cookies, and there would be 2 cookies remaining as the remainder.

Practical Applications of Division:

Division finds numerous practical applications in our daily lives. Here are some common scenarios where division is used:

  • Sharing resources equally among a group (e.g., dividing candies among children)
  • Calculating averages (e.g., finding the average test score in a classroom)
  • Distributing budgets or resources among different departments
  • Solving real-life problems that involve dividing quantities (e.g., calculating distance traveled per hour during a road trip)
  • Comparing and evaluating options (e.g., finding the cost per unit of different products)

By honing our division skills, we enhance our problem-solving abilities and make informed decisions in various situations.

Connections with Other Mathematical Operations:

Division is closely related to other fundamental mathematical operations:

  • Multiplication and Division: Multiplication and division are inverse operations. Multiplication is combining a number with itself multiple times, while division distributes a number into equal parts.
  • Addition and Subtraction with Division: Addition and subtraction are often used in conjunction with division to solve complex mathematical problems and analyze differences between quantities.

Understanding these connections allows us to become more proficient in problem-solving and critical thinking.


In conclusion, division is a fundamental concept in mathematics with practical applications in our everyday lives. It helps us solve problems involving sharing, measuring, and comparing quantities. By understanding the process of long division and remainders, we strengthen our mathematical skills and apply them in real-life scenarios. Division is closely interconnected with other mathematical operations, and by recognizing these connections, we enhance our problem-solving abilities. So, keep practicing division and never stop learning!

If you want to explore further resources on division and practice more examples, you may find the following links useful:

  • This website provides a straightforward division calculator that instantly gives you the result of 18 divided by 4.
  • Utilize their free online Long Division Calculator to divide 18 by 4 and determine the quotient and remainder instantly.
  • Khan Academy: Offers a comprehensive course on arithmetic that covers division facts. Explore their lessons on dividing by 4 and strengthen your understanding.

Remember, division is not just a mathematical concept; it is a versatile tool that empowers us to make informed decisions and solve real-life problems. So, keep embracing division and its significance!

Try Latent Markets