# What is the standard algorithm for division?

## What is the standard algorithm for division?

The standard algorithm for long division is a series of steps repeated in this order: divide, multiply, subtract, bring down.

### What is division algorithm class 10th?

when we divide a number or polynomial by another number or polynomial then the relation Divident = divisor × Quotient + Remainder is always satisfied. This is known as division algorithm. e.g If we divide polynomial 2×2+3x+1 by polynomial x+2.

Why does division algorithm work?

Long division is a standard division algorithm suitable for dividing multi-digit numbers that is simple enough to perform by hand. It breaks down a division problem into a series of easier steps….Table of Contents.

1. Introduction
6. External References

What is the division algorithm elementary school?

The division algorithm is by far the most complicated of all the written algorithms taught in primary/elementary school. It involves processes of division with remainders, multiplication, subtraction and regrouping, making lots of potential chances to make a mistake.

## Which of the following is the division algorithm?

The Division Algorithm. The following result is known as The Division Algorithm:1 If a, b ∈ Z, b > 0, then there exist unique q, r ∈ Z such that a = qb + r, 0 ≤ r.

### What is division algorithm class 9?

when we divide a number or polynomial by another number or polynomial then the relation Divident = divisor × Quotient + Remainder is always satisfied. This is known as division algorithm.

Who discovered division algorithm?

While related algorithms have existed since the 12th century, the specific algorithm in modern use was introduced by Henry Briggs c. 1600.

Who invented division algorithm?

Henry Briggs
Henry Briggs, the first professor of geometry at Gresham college is credited with transforming danda into long division in early 1597.

## What is the standard algorithm of Division?

We knowthat a= bq+ r. Dividing on both sidesof the equation by byields. a/b= q+ r/b. Thus it follows thatqa/b. (Remember that 0 r< b.) So, in our above example, it makes sense to take q= 209762,because this is the biggest integer that is less than (or equal to)a/b.

### What is the definition of division algorithm?

For the division algorithm for polynomials, see Polynomial long division. A division algorithm is an algorithm which, given two integers N and D, computes their quotient and/or remainder, the result of Euclidean division. Some are applied by hand, while others are employed by digital circuit designs and software.

How to teach the division algorithm?

Division algorithm: Let N N N and D D D be integers.

• Dividend/Numerator (N): The number which gets divided by another integer is called as the dividend or numerator.
• Divisor/Denominator (D): The number which divides the dividend is called as the divisor or denominator.
• What is the division algorithm theorem?

– When a polynomial a (x) is divided by a linear polynomial b (x) whose zero is x = k, the remainder is given by r = a (k) – The remainder theorem formula is: p (x) = (x-c)·q (x) + r (x). – The basic formula to check the division is: Dividend = (Divisor × Quotient) + Remainder.