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## 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 |
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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.

**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.