How To Do Long Division

Long Division: A Comprehensive Guide

Long division is a method of dividing large numbers by smaller numbers. It is a straightforward process that is based on the concept of repeated subtraction.

Steps for Long Division

1. Set up the problem. Write the dividend (the large number) inside the long division symbol (÷) and the divisor (the small number) outside the symbol.

2. Divide the first digit of the dividend by the divisor. This will give you the first digit of the quotient (the answer).

3. Multiply the divisor by the first digit of the quotient. This will give you the first partial product.

4. Subtract the partial product from the first several digits of the dividend. This will give you the first remainder.

5. Bring down the next digit of the dividend. This will become the new first digit of the dividend.

6. Repeat steps 2-5 until the remainder is zero. If the remainder is not zero, you can continue dividing until the remainder is as small as possible.

Example

Divide 1,234 by 23:

    54
23 ) 1,234
    115
    ----
     84
     74
    ----
     10

Tips for Long Division

• Estimate the quotient. Before you start dividing, try to estimate the quotient. This will give you a ballpark figure for the answer and help you check your work.
• Use a calculator. If you are struggling with long division, you can use a calculator to help you. However, it is important to understand the steps of long division so that you can check your calculator’s answer.
• Practice makes perfect. The best way to improve your long division skills is to practice regularly.

FAQ

• What is the difference between long division and short division?
  Long division is used to divide large numbers, while short division is used to divide small numbers. Short division is a quicker method, but it is not as accurate as long division.
• Can I use long division to divide decimals?
  Yes, you can use long division to divide decimals. However, you need to convert the decimals to fractions before you start dividing.
• What do I do if I get a remainder?
  If you get a remainder, you can continue dividing until the remainder is zero or as small as possible. You can also express the remainder as a fraction or decimal.
• How do I check my work?
  You can check your work by multiplying the quotient by the divisor and adding the remainder. The answer should be the dividend.

Conclusion

Long division is a valuable skill that can be used to solve a variety of problems. By following the steps outlined in this article, you can master long division and use it to solve any division problem.