close
close
440 divided by 8

440 divided by 8

2 min read 05-02-2025
440 divided by 8

440 Divided by 8: A Step-by-Step Guide

Title Tag: 440 / 8: Easy Steps & Answer

Meta Description: Learn how to divide 440 by 8 quickly and easily! This step-by-step guide provides a clear explanation and the final answer. Perfect for students and anyone needing a refresher on long division.

Introduction:

Dividing larger numbers can seem daunting, but with a systematic approach, it becomes straightforward. This article provides a clear, step-by-step solution for 440 divided by 8, explaining the process for those needing a refresher or learning long division. The answer to 440 divided by 8 is 55. We'll explore how to arrive at this solution using long division.

Understanding Long Division

Long division is a method used to divide large numbers into smaller, more manageable parts. It involves a series of steps that systematically break down the problem. The basic structure involves a dividend (the number being divided), a divisor (the number we're dividing by), a quotient (the result), and sometimes a remainder (if the dividend isn't perfectly divisible by the divisor).

Step-by-Step Solution: 440 ÷ 8

Let's break down 440 ÷ 8 using long division:

  1. Set up the problem: Write the problem as 8)440.

  2. Divide the tens place: How many times does 8 go into 44? The answer is 5 (because 8 x 5 = 40). Write the '5' above the '4' in the tens place of 440.

  3. Multiply and subtract: Multiply the 5 by 8 (5 x 8 = 40). Subtract this result (40) from 44 (44 - 40 = 4).

  4. Bring down the ones place: Bring down the '0' from the ones place in 440, placing it next to the 4 to make 40.

  5. Divide the ones place: How many times does 8 go into 40? The answer is 5 (because 8 x 5 = 40). Write the '5' above the '0' in the ones place of 440.

  6. Multiply and subtract: Multiply 5 by 8 (5 x 8 = 40). Subtract this from 40 (40 - 40 = 0). There is no remainder.

Therefore:

    55
8)440
  40
  --
   40
   40
   --
    0

The quotient is 55. Therefore, 440 divided by 8 equals 55.

Alternative Methods:

While long division is a standard method, other approaches can help you verify the result or solve the problem differently. For instance, you could use repeated subtraction or break down the problem into smaller, easier divisions. For example, you could divide 440 by 2 four times (since 2 x 2 x 2 x 2 = 16, which is close to 8) and then potentially adjust for the discrepancy. This is less efficient than long division for larger numbers but can serve as a useful check.

Conclusion:

Understanding long division is a fundamental skill in mathematics. By following these steps, you can confidently solve division problems like 440 divided by 8, arriving at the correct answer of 55. Remember to practice regularly to build your proficiency. This method works for many different division problems. Try practicing with different numbers!

Related Posts