6720 divided by 21

Breiz Heurope

2 min read

·

10-03-2025

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Finding the answer to 6720 divided by 21 might seem daunting at first glance, but with a structured approach, it becomes manageable. This article will guide you through the process of long division, breaking it down into easy-to-follow steps. Understanding long division isn't just about finding the answer; it's about mastering a fundamental mathematical concept.

Understanding Long Division

Long division is a method for dividing large numbers. It involves a series of steps, including division, multiplication, subtraction, and bringing down the next digit. The goal is to find how many times the divisor (21 in this case) goes into the dividend (6720). The result is called the quotient, with any remaining amount being the remainder.

Step-by-Step Solution: 6720 ÷ 21

Let's break down the problem 6720 ÷ 21 step-by-step:

Step 1: Set up the problem.

Write the problem as a long division problem:

     ______
21 | 6720

Step 2: Divide the first digits.

How many times does 21 go into 67? It goes in 3 times (3 x 21 = 63). Write the 3 above the 7 in the dividend.

     3____
21 | 6720

Step 3: Multiply and subtract.

Multiply the quotient digit (3) by the divisor (21): 3 x 21 = 63. Subtract this from the first two digits of the dividend (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):

     3____
21 | 6720
     63
     ---
      42

Step 5: Repeat steps 2-4.

How many times does 21 go into 42? It goes in 2 times (2 x 21 = 42). Write the 2 above the 2 in the dividend. Multiply 2 by 21 (42), and subtract from 42 (42-42 = 0).

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

Step 6: Bring down the last digit.

Bring down the last digit from the dividend (0):

     32___
21 | 6720
     63
     ---
      42
      42
      ---
       00

Step 7: Final division.

How many times does 21 go into 0? It goes in 0 times. Write a 0 above the 0 in the dividend.

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

Therefore, 6720 divided by 21 is 320. There is no remainder.

Alternative Methods

While long division is a fundamental method, calculators and online tools offer quick solutions for such problems. However, understanding the long division process helps build a stronger foundation in mathematics.

Conclusion

Learning how to perform long division, as demonstrated with the example of 6720 divided by 21, equips you with a critical problem-solving skill. Remember the steps: divide, multiply, subtract, bring down, and repeat. Practice makes perfect! Understanding this process will make you more confident in tackling similar division problems in the future.