close
close
407 divided by 11

407 divided by 11

2 min read 05-02-2025
407 divided by 11

Meta Description: Learn how to solve 407 divided by 11 using long division. This comprehensive guide breaks down the process step-by-step, making it easy to understand even for beginners. Master long division with this clear and concise tutorial.

Dividing numbers can sometimes seem daunting, especially when dealing with larger numbers like 407 divided by 11. But with a systematic approach using long division, this problem becomes manageable. This guide will walk you through the process step-by-step, making it clear and easy to understand.

Understanding Long Division

Long division is a method used to solve division problems, especially when dividing larger numbers. It breaks the problem down into smaller, more manageable steps. The process involves dividing, multiplying, subtracting, and bringing down digits. Let's tackle 407 divided by 11 using this method.

Solving 407 Divided by 11

Here's how to solve 407 divided by 11 using long division:

Step 1: Set up the Problem

Write the problem as a long division problem:

      _______
11 | 407

Step 2: Divide the First Digit

Ask yourself: how many times does 11 go into 4? The answer is 0. Write a 0 above the 4.

      0____
11 | 407

Step 3: Divide the First Two Digits

Now, consider the first two digits: 40. How many times does 11 go into 40? It goes in 3 times (3 x 11 = 33). Write the 3 above the 0.

      03____
11 | 407

Step 4: Multiply and Subtract

Multiply the quotient (3) by the divisor (11): 3 x 11 = 33. Subtract this result from the first two digits of the dividend (40 - 33 = 7).

      03____
11 | 407
      -33
       7

Step 5: Bring Down the Next Digit

Bring down the next digit (7) from the dividend.

      03____
11 | 407
      -33
       77

Step 6: 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.

      037___
11 | 407
      -33
       77

Step 7: Multiply and Subtract

Multiply the quotient (7) by the divisor (11): 7 x 11 = 77. Subtract this from the remaining number (77 - 77 = 0).

      037___
11 | 407
      -33
       77
      -77
        0

Step 8: The Result

There is no remainder. Therefore, 407 divided by 11 equals 37.

Checking Your Answer

To verify the result, multiply the quotient (37) by the divisor (11): 37 x 11 = 407. This confirms our answer is correct.

Conclusion

Successfully dividing 407 by 11 using long division demonstrates the power of a step-by-step approach to solve complex division problems. By following these steps carefully, you can confidently tackle similar problems in the future. Remember the key steps: divide, multiply, subtract, and bring down. Practice makes perfect!

Related Posts


Latest Posts