Divide 79,650 By 31 Using Long Division.

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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 learn how to divide 79,650 by 31 using long division.

Step 1: Write the dividend and divisor

To begin the long division process, we need to write the dividend (79,650) and the divisor (31) in the correct positions.

  ____________________
31 | 79,650

Step 2: Divide the first digit of the dividend

The first step in long division is to divide the first digit of the dividend (7) by the divisor (31). However, since 7 is less than 31, we cannot divide it directly. We need to add a zero to the dividend to make it a two-digit number.

  ____________________
31 | 079,650

Now, we can divide 70 by 31, which gives us a quotient of 2 and a remainder of 16.

  ____________________
31 | 079,650
  - 70
  ------
    16

Step 3: Bring down the next digit

Since we have a remainder of 16, we need to bring down the next digit of the dividend (9) to make it a three-digit number.

  ____________________
31 | 079,650
  - 70
  ------
    169

Step 4: Divide the three-digit number

Now, we can divide 169 by 31, which gives us a quotient of 5 and a remainder of 14.

  ____________________
31 | 079,650
  - 70
  ------
    169
  - 155
  ------
      14

Step 5: Bring down the next digit

Since we have a remainder of 14, we need to bring down the next digit of the dividend (6) to make it a four-digit number.

  ____________________
31 | 079,650
  - 70
  ------
    169
  - 155
  ------
      146

Step 6: Divide the four-digit number

Now, we can divide 146 by 31, which gives us a quotient of 4 and a remainder of 22.

  ____________________
31 | 079,650
  - 70
  ------
    169
  - 155
  ------
      146
  - 124
  ------
       22

Step 7: Bring down the next digit

Since we have a remainder of 22, we need to bring down the next digit of the dividend (0) to make it a five-digit number.

  ____________________
31 | 079,650
  - 70
  ------
    169
  - 155
  ------
      146
  - 124
  ------
       220

Step 8: Divide the five-digit number

Now, we can divide 220 by 31, which gives us a quotient of 7 and a remainder of 3.

  ____________________
31 | 079,650
  - 70
  ------
    169
  - 155
  ------
      146
  - 124
  ------
       220
  - 217
  ------
        3

Conclusion

In this article, we learned how to divide 79,650 by 31 using long division. We followed the steps of long division, bringing down digits and dividing the resulting numbers until we reached the final quotient and remainder. The final quotient is 2577 and the remainder is 3.

Final Answer

The final answer is: 2577 remainder 3

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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 to bring down digits in long division?

A: We need to bring down digits in long division because the divisor (31) is larger than the first digit of the dividend (7). By bringing down the next digit, we can create a larger number that can be divided by the divisor.

Q: How do we determine the number of digits to bring down?

A: We determine the number of digits to bring down by looking at the remainder of the previous division. If the remainder is less than the divisor, we bring down the next digit. If the remainder is equal to or greater than the divisor, we bring down two digits.

Q: What is the quotient and remainder in the division of 79,650 by 31?

A: The quotient is 2577 and the remainder is 3.

Q: Why is it important to follow the steps of long division carefully?

A: It is essential to follow the steps of long division carefully to ensure that we get the correct quotient and remainder. If we make a mistake at any step, it can affect the entire division and lead to incorrect results.

Q: Can we use long division to divide any two numbers?

A: Yes, we can use long division to divide any two numbers, as long as the divisor is not zero. However, the dividend must be a whole number, and the divisor must be a positive integer.

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

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

  • Not bringing down enough digits
  • Not dividing the correct number
  • Not writing the remainder correctly
  • Not following the steps of long division carefully

Q: How can we check our work when using long division?

A: We can check our work by multiplying the quotient by the divisor and adding the remainder. If the result is equal to the dividend, then our work is correct.

Q: What are some real-world applications of long division?

A: Long division has many real-world applications, including:

  • Calculating the cost of items
  • Determining the number of items in a set
  • Finding the area and perimeter of shapes
  • Solving problems in algebra and geometry

Q: Can we use long division to divide decimal numbers?

A: No, we cannot use long division to divide decimal numbers. Long division is used to divide whole numbers, and decimal numbers require a different type of division, called decimal division.

Q: How can we make long division easier and more efficient?

A: We can make long division easier and more efficient by:

  • Using a calculator or computer to perform the division
  • Breaking down the division into smaller steps
  • Using visual aids, such as diagrams or charts, to help us understand the process
  • Practicing long division regularly to build our skills and confidence.