407 divided by 11

Charlotte

2 min read

·

28-02-2025

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Long division can seem daunting, but breaking it down step-by-step makes it manageable. This article will walk you through dividing 407 by 11, explaining the process clearly. Understanding this example will help you tackle similar problems with confidence. Let's get started!

Understanding the Problem: 407 ÷ 11

Our goal is to find out how many times 11 goes into 407. We'll use long division to solve this. This method involves a series of steps to systematically find the quotient (the result of the division).

Step-by-Step Solution: 407 ÷ 11

Step 1: Set up the Long Division

Write the problem as a long division problem:

      _____
11 | 407

Step 2: Divide the Tens Place

How many times does 11 go into 40 (the first two digits of 407)? It goes in 3 times (3 x 11 = 33). Write the 3 above the 0 in the tens place of the dividend (407).

      3
11 | 407

Step 3: Multiply and Subtract

Multiply the 3 (our quotient digit) by 11 (our divisor): 3 x 11 = 33. Write 33 below the 40. Subtract 33 from 40: 40 - 33 = 7.

      3
11 | 407
    -33
      7

Step 4: Bring Down the Next Digit

Bring down the next digit from the dividend (the 7 in the ones place) to create the number 77.

      3
11 | 407
    -33
      77

Step 5: Divide Again

How many times does 11 go into 77? It goes in 7 times (7 x 11 = 77). Write the 7 above the 7 in the ones place of the dividend.

      37
11 | 407
    -33
      77

Step 6: Multiply and Subtract

Multiply the 7 by 11: 7 x 11 = 77. Subtract 77 from 77: 77 - 77 = 0.

      37
11 | 407
    -33
      77
     -77
      0

Step 7: The Result

Since there's no remainder, the division is complete. The quotient is 37. Therefore, 407 divided by 11 equals 37.

Conclusion: Mastering 407 ÷ 11 and Beyond

By following these steps, you've successfully divided 407 by 11. This method can be applied to many other long division problems. Remember to break down the process into manageable steps and practice regularly to build your skills and confidence in tackling more complex divisions. Practice is key to mastering long division!