LCM Calculator
Long Division Calculator With Steps
Long division calculator performs long division for any divisor and dividend. Our division calculator uses the long division method and finds values of quotient & remainder for every positive input value.
This long division method calculator gives detailed steps that help to understand how to perform long divisions.
What is Long Division?
Long division is a mathematical method to divide a larger number with smaller ones. It is a systematic method that divides any number by breaking down problems into simple steps.
Long division method is useful when the dividend has two or more digits and simplifies the division process. This process is also called the bus stop or standard algorithm method.
Parts of Long Division
In long division problems, we use different terms to perform long division these are known as the parts of long division. Each one has its specific name such as dividends, divisors, quotients, and remainders.
- Divisor: A smaller number used to divide large numbers in long-division problems is placed along the left side of the division symbol.
- Dividend: It is a large number that is divided by a divisor and placed under the division symbol.
- Quotient: It is the result of the division process and is placed above the division symbol.
- Reminder: It is an excess quantity that cannot be divided more and is always smaller than the divisor.
How to do Long Division?
To perform the division manually and understand how to find the quotient and remainder by division method, then follow the long division steps that are performed in the below example.
Long Division Example
Find the quotient and remainder of “435” to divide by “7” by using the long division method.
Solution:
Step 1: Adjust the divisor and dividend along the division symbol according to placement.
Step 2: Take the 1st-digit of the dividend and check it is small or large from the divisor.
Since: 7 > 4, then add the next digits for division. Choose “43” instead of 4.
Step 3: Find the factor of “43, then multiply with the divisor and place the multiple under the selected number.
Multiply: 7 × 6 = 42. Write 42 below 43 and subtract:
Step 4: Now, take the next digit and simplify by following the division rule.
The new number is “15” and it divides by multiplying the “7” with 2.
Since, there are no more digits to bring down.
Step 5: Now, note the remainder and quotient from the division process.
remainder = 1, Quotient = 62
To verify the result of the above long division, use our long division calculator with steps that provide accurate and quick results for every division problem.
FAQ’s
What is the difference between long division and short division?
Both are the division process, in short division uses a multi-digit factor to divide a number by a divisor in one or two steps. While in long division breaking the division process into small steps and using the single digit factor in each step.
How to do long division with 2 Digits?
The division with two digit divisors is same as the division of a single digit that is performed in the above example but in this, the two-digit is used at the same time as divisor in every division step. However, to perform instant division using our long division method calculator.
How to do long division with Decimals?
To perform it with a decimal point, take the decimal point to the right of the number (if in the divisor). However, if it is only in the dividend, ignore it, continue the division process by long division steps, and place the decimal in the quotient.
How to do long division with polynomials?
In long polynomial division, divide the large polynomial with the small degree polynomial. It gives quotient, dividend, & remainder and is known as the generalized form of arithmetic long division.
