Long division is a mathematical operation that involves dividing one number by another. Long division is typically used to find the quotient when dividing a large number by a smaller number.
It can also be used to solve problems in which the quotient and remainder need to be determined. The process of long division involves several steps, and it is important to follow these steps carefully in order to arrive at the correct answer.
How to do Long Division
Here is a step-by-step guide on how to perform long division:
- Write the problem down: The first step in long division is to write down the problem that needs to be solved.
- Divide the first digit of the dividend by the divisor
- Bring down the next digit: After dividing the first digit of the dividend, the next step is to bring down the next digit of the dividend.
- Divide the new number by the divisor: Once we have brought down the next digit, we need to divide the new number by the divisor.
- Write the quotient above the dividend: After dividing the new number by the divisor, we write the quotient above the dividend.
- Multiply the divisor by the quotient: The next step is to multiply the divisor by the quotient.
- Subtract the result from step 6 from the new number: After multiplying the divisor by the quotient, we need to subtract the result from the new number.
- Repeat steps 3-7 until the remainder is zero: The process of long division is repeated until the remainder is zero.
- Write the final answer: Once the remainder is zero, we can write the final answer.
What is long division?
Long division is a method used to divide two numbers, typically a large number by a smaller number.
Why is long division important?
Long division is important because it is used in many different areas of mathematics, such as arithmetic, algebra, and calculus.
What are the steps to long division?
The steps to long division are as follows: 1) write the problem down, 2) divide the first digit of the dividend by the divisor, 3) bring down the next digit, 4) divide the new number by the divisor, 5) write the quotient above the dividend, 6) multiply the divisor by the quotient, 7) subtract the result from the new number, 8) repeat steps 3-7 until the remainder is zero, and 9) write the final answer.
How do you know if you did long division correctly?
You can check your work by multiplying the quotient by the divisor and adding the remainder. The result should be equal to the dividend.
Can long division be used for decimals?
Yes, long division can be used for decimals. The process is the same as for whole numbers, but the decimal point must be moved to the right as necessary.
Can long division be used for negative numbers?
Yes, long division can be used for negative numbers. The process is the same as for positive numbers, but you must remember to apply the rules for working with negative numbers (such as two negatives make a positive).