Not bringing down the next digit

Oct 13, 2025 by miodeya.com 7 views

Introduction

Long division is a mathematical technique used to divide a large number by a smaller number. It involves a series of steps that help us find the quotient and remainder of the division. In this article, we will use the long division method to divide 917 by 14. We will break down the process into simple steps and provide a clear explanation of each step.

Understanding the Problem

Before we begin the long division process, let's understand the problem. We are dividing 917 by 14, which means we need to find the quotient and remainder of this division. The quotient is the result of the division, and the remainder is the amount left over after the division.

Step 1: Write the Dividend and Divisor

To start the long division process, we need to write the dividend (917) and the divisor (14) in the correct format. The dividend is the number being divided, and the divisor is the number by which we are dividing.

  ____________________
14 | 9 1 7

Step 2: Divide the First Digit

The first step in the long division process is to divide the first digit of the dividend (9) by the divisor (14). However, since 9 is less than 14, we cannot divide it directly. Instead, we will bring down the next digit (1) and then divide the two-digit number (91) by 14.

  ____________________
14 | 9 1 7
  -14
  ---------
    91

Step 3: Divide the Two-Digit Number

Now, we will divide the two-digit number (91) by 14. To do this, we need to find the largest multiple of 14 that is less than or equal to 91. In this case, the largest multiple of 14 that is less than or equal to 91 is 14 x 6 = 84.

  ____________________
14 | 9 1 7
  -14
  ---------
    91
  -84
  ---------
     7

Step 4: Bring Down the Next Digit

Since we have divided the two-digit number (91) by 14, we now need to bring down the next digit (7) and divide the three-digit number (917) by 14.

  ____________________
14 | 9 1 7
  -14
  ---------
    91
  -84
  ---------
     7
  -7
  ---------
     0

Step 5: Write the Quotient and Remainder

Now that we have completed the long division process, we can write the quotient and remainder. The quotient is the result of the division, and the remainder is the amount left over after the division.

The quotient is 65, and the remainder is 7.

Conclusion

In this article, we used the long division method to divide 917 by 14. We broke down the process into simple steps and provided a clear explanation of each step. We also wrote the quotient and remainder of the division. The long division method is a powerful tool for dividing large numbers by smaller numbers, and it is an essential skill for anyone who wants to become proficient in mathematics.

Tips and Tricks

Here are some tips and tricks to help you master the long division method:

Use a pencil: It's always a good idea to use a pencil when doing long division, as it allows you to make mistakes and correct them easily.
Use a ruler: A ruler can help you draw the long division line and make it easier to read the numbers.
Break down the problem: Long division can be a complex process, so it's a good idea to break it down into smaller steps and focus on one step at a time.
Practice, practice, practice: The more you practice long division, the more comfortable you will become with the process.

Common Mistakes

Here are some common mistakes to avoid when doing long division:

Not bringing down the next digit: Make sure to bring down the next digit after each division step.
Not checking the remainder: Make sure to check the remainder after each division step to ensure that it is correct.
Not writing the quotient and remainder: Make sure to write the quotient and remainder after completing the long division process.

Real-World Applications

Long division has many real-world applications, including:

Cooking: Long division can be used to measure ingredients and calculate recipes.
Finance: Long division can be used to calculate interest rates and investment returns.
Science: Long division can be used to calculate scientific measurements and convert between units.

Conclusion

In conclusion, the long division method is a powerful tool for dividing large numbers by smaller numbers. It is an essential skill for anyone who wants to become proficient in mathematics. By following the steps outlined in this article and practicing regularly, you can master the long division method and apply it to real-world problems.

Introduction

Long division is a mathematical technique used to divide a large number by a smaller number. It involves a series of steps that help us find the quotient and remainder of the division. In this article, we will answer some frequently asked questions (FAQs) about long division.

Q: What is long division?

A: Long division is a mathematical technique used to divide a large number by a smaller number. It involves a series of steps that help us find the quotient and remainder of the division.

Q: Why do we need long division?

A: We need long division to divide large numbers by smaller numbers. It is an essential skill for anyone who wants to become proficient in mathematics.

Q: What are the steps involved in long division?

A: The steps involved in long division are:

Write the dividend and divisor in the correct format.
Divide the first digit of the dividend by the divisor.
Bring down the next digit and divide the two-digit number by the divisor.
Continue bringing down digits and dividing until the remainder is 0.
Write the quotient and remainder.

Q: What is the quotient and remainder?

A: The quotient is the result of the division, and the remainder is the amount left over after the division.

Q: How do I know when to stop bringing down digits?

A: You should stop bringing down digits when the remainder is 0.

Q: What if the remainder is not 0?

A: If the remainder is not 0, you should continue bringing down digits and dividing until the remainder is 0.

Q: Can I use a calculator to do long division?

A: Yes, you can use a calculator to do long division. However, it is still important to understand the steps involved in long division.

Q: How do I check my work?

A: You should check your work by multiplying the quotient by the divisor and adding the remainder. If the result is equal to the dividend, then your work is correct.

Q: What are some common mistakes to avoid when doing long division?

A: Some common mistakes to avoid when doing long division include:

Not bringing down the next digit
Not checking the remainder
Not writing the quotient and remainder

Q: How can I practice long division?

A: You can practice long division by using online resources, such as worksheets and practice problems. You can also practice long division by dividing numbers in your head or using a calculator.

Q: Why is long division important?

A: Long division is important because it helps us to divide large numbers by smaller numbers. It is an essential skill for anyone who wants to become proficient in mathematics.

Conclusion

In conclusion, long division is a mathematical technique used to divide a large number by a smaller number. It involves a series of steps that help us find the quotient and remainder of the division. By understanding the steps involved in long division and practicing regularly, you can become proficient in this essential skill.

Additional Resources

Here are some additional resources to help you learn long division:

Online tutorials: There are many online tutorials available that can help you learn long division.
Practice problems: You can find practice problems online or in math textbooks.
Worksheets: You can find worksheets online or in math textbooks that can help you practice long division.
Math apps: There are many math apps available that can help you practice long division.

Real-World Applications

Long division has many real-world applications, including:

Cooking: Long division can be used to measure ingredients and calculate recipes.
Finance: Long division can be used to calculate interest rates and investment returns.
Science: Long division can be used to calculate scientific measurements and convert between units.