Long division - Definition with Examples
To divide two numbers using this method, a tableau is drawn. The divisor is written outside the right parenthesis, while the dividend is placed within. The quotient is written above the over bar on top of the dividend.
Long division involves 5 steps:
D | Divide |
M | Multiply |
S | Subtract |
B | Bring down |
R | Repeat or Remainder |
Here’s an example of long division with each step shown clearly.
Here’s an example of long division with decimals.
Division is the process of distributing a set of objects into equal parts. Long division is a method used to divide large numbers into equal parts. Unlike division, it breaks down the division problem into a series of steps, making the calculation easier.
Long division involves 5 main steps: 1. Divide: a) If the first digit is equal or greater than the divisor: Take the first digit of the dividend and divide it by the divisor. Write the answer as the quotient. b) If the first digit is less than the divisor: Take the first two digits (or more if the divisor is a large number) of the dividend and divide it by the divisor. Write the answer as the quotient, ignoring the remainder. 2. Multiply the quotient by the divisor. 3. Subtract the product obtained in step 2 from the first digit or the first two digits (depending on cases 1(a) or 1(b) of the dividend.) 4. Bring down the next digit(s) of the dividend. 5. Repeat till you find the remainder. The remainder can either be 0 or any other number less than the divisor.
We can check the long division answer using the following formula: Dividend = Divisor x Quotient + Remainder.
Yes, long division can also be used to divide decimal numbers. It follows the same steps as the long division of whole numbers.