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Long Division

Definition: Long Division

Long Division

Noun

1. The operation of division in which the sequence of steps are indicated in detail.

Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved.
 


Crosswords: Long Division

English words defined with "long division": book, Brachiata ♦ canto, Cell division ♦ Longicornia, Longirostres ♦ Phalangoidea, Proboscidifera, Ptenoglossa ♦ Rhipidoglossa ♦ Taeniata, Taenioglossa. (references)
Specialty definitions using "long division": Isochromosomes ♦ Paran. (references)

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Specialty Definition: Long division

(From Wikipedia, the free Encyclopedia)

In arithmetic, long division is a method for division of two real numbers. It requires only the means to write the numbers down, and it simple to perform even for large dividends because the algorithm seperates a complex division problem into smaller problems. However, the procedure requires various numbers to be divided by the divisor: this is simple with single-digit divisors, but becomes harder with larger ones.

Another form of long division is used for dividing polynomials - this process can be simplified using synthetic division.

This is long division notation for 500 ÷ 4 = 125:

The method involves several steps:

1. Write the dividend and divisor in this form:

In this example, 500 is the dividend and 4 is the divisor.

2. Consider the leftmost digit of the dividend (5). Find the largest multiple of the divisor that is less than the leftmost digit: in other words, mentally perform "5 divided by 4". If this digit is too small, consider the first two digits.

In this case, the largest multiple of 4 that is less than 5 is 4. Write this number under the leftmost digit of the dividend. Write the multiple divided by the divisor (4 divided by 4 = 1) above the line over the leftmost digit of the dividend.

3. Subtract the digit under the dividend from the digit used in the dividend. Write the result (remainder) (5 - 4 = 1) under the bottom digit, then drop the zero (the second digit) to the right of it.

4. Repeat steps 2 and 3, except use the number you just created to divide by, and write above and under the second digit.

5. Repeat step 4 until there are no digits remaining in the dividend. The number written above the bar is the quotient, and the last remainder calculated is the remainder for the entire problem.

=See also=

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Long division."

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Modern Usage: Long Division

DomainUsage

Screenplays

You cry when you scrape your knee, you cry when we're out of chocolate milk, you cry when you're doing long division and you have a remainder left over. (The Simpsons; writing credit: Artur Brauner; Paul Hengge)

Movie/TV Titles

Long Division (1999)

Source: compiled by the editor from various references; see credits.

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Image Slideshow: Long Division

Computer Images:
Long Division

More pictures...

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Frequency of Internet Keywords: Long Division

The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com.
 
ExpressionFrequency
per Day

long division

89

polynomial long division

9

long division math

6

teaching long division

6
Source: compiled by the editor from various references; see credits.

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Anagrams: Long Division

Scrabble® Enable2K-Verified Anagrams

Words within the letters "d-g-i-i-i-l-n-n-o-o-s-v"

-3 letters: idolising, lionising, visioning.

-4 letters: divining, division, glonoins, iodising, ionising, nonsolid, noodling, snooding, snooling.

-5 letters: glonoin, indigos, lignins, linings, livings, logions, loosing, noising, noosing, oodlins, sidling, siloing, sliding, soiling, soloing, solving, violins, voiding.

Source: compiled by the editor from various references; see credits.

SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.

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Alternative Orthography: Long Division


Hexadecimal (or equivalents, 770AD-1900s) (references)

4C 6F 6E 67      44 69 76 69 73 69 6F 6E

Leonardo da Vinci (1452-1519; backwards) (references)

    

Binary Code (1918-1938, probably earlier) (references)

01001100 01101111 01101110 01100111 00100000 01000100 01101001 01110110 01101001 01110011 01101001 01101111 01101110

HTML Code (1990) (references)

&#76 &#111 &#110 &#103 &#32 &#68 &#105 &#118 &#105 &#115 &#105 &#111 &#110

ISO 10646 (1991-1993) (references)

004C 006F 006E 0067      0044 0069 0076 0069 0073 0069 006F 006E

Encryption (beginner's substitution cypher): (references)

4681807323875887585758180

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INDEX

1. Definition
2. Crosswords
3. Usage: Modern
4. Images: Slideshow 		5. Expressions: Internet
6. Anagrams
7. Orthography
8. Bibliography


  

Copyright © Philip M. Parker, INSEAD. Terms of Use.

 

 

 

 

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