Long Division

Long division is a method of dividing one number by another using a series of steps. It is typically used when dividing large numbers, and it involves several steps including division, multiplication, and subtraction.

Steps of Long Division

1. Divide: The first step is to divide the first digit of the dividend (the number being divided) by the divisor (the number you are dividing by). Write the quotient above the dividend.
2. Multiply: Multiply the divisor by the quotient and write the result below the dividend.
3. Subtract: Subtract the result from the dividend and bring down the next digit of the dividend.
4. Repeat: Repeat the above steps until there are no more digits to bring down. The remainder, if any, is the final result.

Example

Let's divide 1260 by 15 using long division:

          8
   _______________
15 | 1260
      - 120
      _______
        60
        - 60
       _______
          0

So, 1260 ÷ 15 = 84.

Study Guide

When performing long division, it's important to remember the following key points:

• Start from the leftmost digit of the dividend and work your way to the right.
• Keep track of the remainder at each step.
• If the divisor does not divide evenly into a portion of the dividend, bring down the next digit of the dividend and continue the process.
• Check your final answer by multiplying the quotient by the divisor and adding the remainder to ensure it equals the original dividend.

Practice long division with various numbers to strengthen your skills and understanding of the method.

Now that you have a good understanding of long division, let's practice some problems to reinforce your learning!