Introduction
Long division can be a challenging concept for many students to grasp. However, with the right approach, it can become much easier to understand and solve. In this article, we will provide step-by-step explanations and examples of easy long division problems to help you improve your skills.
What is Long Division?
Long division is a method used to divide large numbers into smaller parts. It involves several steps, including dividing, multiplying, subtracting, and bringing down numbers. The goal is to find the quotient (the answer) and the remainder (if any) when dividing one number by another.
How to Perform Easy Long Division
Step 1: Set Up the Division
To start, write the dividend (the number to be divided) inside the long division symbol, and the divisor (the number you are dividing by) outside the symbol. Place the dividend and divisor in their respective positions, aligning the digits correctly.
Step 2: Divide and Multiply
Begin dividing the leftmost digit of the dividend by the divisor. Write the quotient above the long division symbol. Then, multiply the quotient by the divisor and write the product below the dividend. Subtract the product from the dividend, and bring down the next digit.
Step 3: Repeat Until the Division is Complete
Continue dividing, multiplying, subtracting, and bringing down digits until you have divided all the digits of the dividend. The final quotient is the answer to the division problem, and any remaining digits constitute the remainder.
Example Problems
Let’s look at a couple of easy long division problems to illustrate the steps:
Example 1:
Divide 432 by 12.
Step 1: Set up the division:
36
12) 432
Step 2: Divide and multiply:
36
12) 432
36
—
72
Step 3: Repeat until the division is complete:
36
12) 432
36
—
72
72
—
0
The quotient is 36, and there is no remainder. Therefore, 432 divided by 12 equals 36.
Example 2:
Divide 789 by 15.
Step 1: Set up the division:
52
15) 789
Step 2: Divide and multiply:
52
15) 789
75
—
39
Step 3: Repeat until the division is complete:
52
15) 789
75
—
39
30
—
9
The quotient is 52, and the remainder is 9. Therefore, 789 divided by 15 equals 52 with a remainder of 9.
Conclusion
Long division may initially seem challenging, but with practice and a clear understanding of the steps involved, it can become much easier to solve. By following the step-by-step explanations and examples provided in this article, you’ll be well on your way to mastering easy long division problems.
