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Long Division Definition
The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. By dividing a challenge into smaller, more manageable components, it can be resolved. Long divisions can have dividends, divisors, quotients, and remainders. When solving an issue involving long division, the dividend—a high number—is divided by the divisor, a smaller number. The surplus that cannot be split results in the quotient, sometimes referred to as the residual.
How to Find Long Division?
There are two ways to find long division.
Method 1: Solve the long division by using long division calculator with steps. This online tool provide the accurate results within seconds.
Method 2: You can use manual method and solve the long division by self. This method is very tricky and difficult. Follow the steps:
Steps of Long Division
We need to comprehend a few stages in order to divide. The quotient and dividend are separated by a vinculum, and the divisor and dividend are separated by a right parenthesis or vertical bar. To further understand the process, let’s go through the long division procedures outlined below.
Step 1:
Start by taking the dividend’s first digit from the left. Check to see if this number is greater than or equal to the divisor.
Step 2:
Next, divide the result by the divisor and write the result as the quotient on top.
Step 3:
Deduct the outcome from the digit and write the difference down below.
Step 4:
Lower the dividend’s subsequent digit (if present).
Step 5:
Carry out Step 4 once more.
To further comprehend the idea, let’s have a look at the samples provided below. We might run into issues while conducting long division when there is no residual while some questions contain remainders. So let’s start by learning how to divide with remainders.
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Long Division Components
When doing long division, we must be aware of its essential elements. The basic elements of long division are listed as follows:
- Dividend
- Divisor
- Quotient
- Remainder
Indicator of Division
We can add the division symbol “” between two numbers to indicate that they have been divided. As an illustration, we can write 36 6 to represent the division of 36 by 6.
Additionally, we can represent it as the fraction 366.
Steps of Long Division
We need to comprehend a few stages in order to divide. The quotient and dividend are separated by a vinculum, and the divisor and dividend are separated by a right parenthesis or vertical bar. To further understand the process, let’s go through the long division procedures outlined below.
Step 1:
Start by taking the dividend’s first digit from the left. Check to see if this number is greater than or equal to the divisor.
Step 2:
Next, divide the result by the divisor and write the result as the quotient on top.
Step 3:
Deduct the outcome from the digit and write the difference down below.
Step 4:
Lower the dividend’s subsequent digit (if present).
Step 5:
Carry out Step 4 once more.
To further comprehend the idea, let’s have a look at the samples provided below. We might run into issues while conducting long division when there is no residual while some questions contain remainders. So let’s start by learning how to divide with remainders.
Decimal Division Utilizing Long Division
Decimal numbers can also be divided into equal groups using long division. The steps are the same as for long division: divide, multiply, subtract, add back in, repeat, or find the remainder.
Here is an illustration of decimal long division.
Laughable Long Division Statistics
• The quotient will always be zero if the dividend is zero.
• The dividend is always greater than the remainder.
• To find the dividend, multiply the quotient by the divisor, then add the resulting remainder.
Dividend = (Divisor x Quotient) + Remainder
The dividend is the result of the divisor and quotient when the remainder is 0.
When the remainder is zero, Divisor x Quotient equals dividend.
Conclusion
With the long division tool, you may split up large numbers into several smaller pieces or groups. The quotient indicates the number of groups that can result from the division of a dividend by a divisor, and the number of elements or integers will remain ungrouped is given by the remainder.
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FAQ’s
Can 0 be the divisor?
No, mathematicians do not generally define division by zero.
What exactly is long division?
Long division is the mathematical process for dividing large numbers into numerous smaller groups or sections. The dividend is the number we divide into smaller groups, while the divisor is the number by which we divide.
How may the remainder and quotient of a division issue be verified?
Using the division formula, we can check the quotient and the remaining part of the division:
Dividend = (Divisor x Quotient) + Remainder
What distinguishes long division from short division?
Larger numbers can be divided by one-digit numbers using the short division, while larger numbers can be divided by two-digit or more numbers using the long division.
