6720 divided by 21

Charlotte

2 min read

·

01-03-2025

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Long division can seem daunting, but breaking it down into smaller steps makes it manageable. This article will walk you through dividing 6720 by 21, explaining the process clearly and concisely. Understanding this example will give you the confidence to tackle similar problems.

Understanding the Problem: 6720 ÷ 21

Our goal is to find out how many times 21 fits into 6720. We'll use long division to solve this. This method is a systematic way to perform division problems, especially those involving larger numbers.

Step-by-Step Solution: 6720 ÷ 21

Let's break down the process of dividing 6720 by 21.

Step 1: Set up the Long Division

Write the problem in the standard long division format:

      _____
21 | 6720

Step 2: Divide the First Digit(s)

Start by dividing the first digit(s) of the dividend (6720) by the divisor (21). 21 goes into 67 three times (21 x 3 = 63). Write the '3' above the '7' in the dividend.

      3
21 | 6720

Step 3: Multiply and Subtract

Multiply the quotient (3) by the divisor (21): 3 x 21 = 63. Write this below the '67'. Subtract 63 from 67: 67 - 63 = 4.

      3
21 | 6720
     63
     ---
      4

Step 4: Bring Down the Next Digit

Bring down the next digit from the dividend (2), placing it next to the 4. This gives you 42.

      3
21 | 6720
     63
     ---
      42

Step 5: Repeat the Process

Divide 42 by 21. 21 goes into 42 exactly two times (21 x 2 = 42). Write the '2' above the '2' in the dividend.

      32
21 | 6720
     63
     ---
      42
      42
      --
       0

Step 6: Bring Down the Last Digit and Repeat

Bring down the last digit (0). Now we have 0. Divide 0 by 21. This results in 0.

      320
21 | 6720
     63
     ---
      42
      42
      --
       00
       00
       --
        0

The Answer: 320

Therefore, 6720 divided by 21 is 320.

Alternative Methods

While long division is a standard approach, calculators provide a quick and convenient solution for this problem. For more complex division problems, a calculator can be a helpful tool for verification.

Conclusion

Understanding long division is crucial for many mathematical tasks. By following these steps, you can confidently solve division problems like 6720 divided by 21 and achieve the correct answer of 320. Remember to break down the problem into smaller, manageable steps, and you'll find it much easier to master.