Long Division Formula

About Long Division Formula

Long Division is such type of method for dividing huge numbers that divides the task into numerous phases that must be completed in a specific order. Dividend is divided by the divisor in same way that conventional division problems are split, yielding the quotient and, in some cases, a remainder.

What do you mean by Long Division Method?

Long division is a method for dividing big numbers into steps or parts in mathematics, breaking the division problem down into a series of simpler steps. It is the most prevalent strategy for resolving division difficulties.

Parts of Long Division Equation

When you divide 75 by 4, for example, you get 75 = 4 18 + 3, where 75 is the dividend, 4 is the divisor, 18 is the quotient, and 3 is the remainder. "Dividend = Divisor Quotient + Remainder" is the usual form of a long division equation. Here are several phrases related to division that are also called long division portions. The terminology are identical to those used in conventional division.

Dividend : The number which has to be divided. 75  
Divisor : The number which will divide the dividend. 4
Quotient: The result of division. 18
Reminder: Leftover part or number left after certain steps and cannot be divided further. 3

Long Division Steps:

The creation of a tableau is required to accomplish division. A right parenthesis ) or vertical bar | separates divisor from dividend, and a vinculum separates the dividend from the quotient (an overbar). To further comprehend the procedure, let's go over the long division processes listed below.

  1. Step: Take the dividend's first digit from the left. Determine whether or not this digit is bigger than or equal to the divisor.
  2. Step: Next, divide it by divisor and write the result as the quotient on the top.
  3. Step: Subtract the result from the digit and write the difference below.
  4. Step: Reduce dividend by next digit (if present).
  5. Step: Carry on with the same procedure

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Long Division Formula

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