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Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
A Treatise on Algebra - Page 46
by Elias Loomis - 1873 - 360 pages

## Elements of algebra, by A. Ingram and J. Trotter

Alexander Ingram - 1844 - 262 pages
...compound, arrange the terms of the dividend and divisor according to the powers of the same letter. Divide the first term of the dividend by the first term of the divisor to obtain the first term of the quotient, then multiply the whole divisor by this term, and subtract...

## Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 266 pages
...compound quantities, arrange the terms according to Jlft. 106. To obtain the first term in the quotient, divide the first term of the dividend by the first term of the divisor. Multiply the whole divisor by the term placed in the quotient; subtract the product from the dividend...

## An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...the next highest exponent second, and so on to the last. To obtain the first term of the quotient, divide the first term of the dividend by the first term of the divisor, and place the quotient in the quotient, as its first term. Multiply every term of the divisor by the...

## A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...division in arithmetic, arranging both dividend and divisor according to the powers of the same letter. Divide the first term of the dividend by the first term of the divisor, and put the result with its proper sign for the first term of the quotient. Multiply the terms of the...

## A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 542 pages
...polynomials. 1. Arrange the dividend and divisor according to the powers of the same letter ia both. 2. Divide the first term of the dividend by the first term of the divisor, and the result will be the first term in the quotient, by which multiply all the terms in the divisor,...

## Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...with reference to the power of some letter, so that its exponents shall diminish from left to right. 2. Divide the first term of the dividend by the first term of the divisor ; the result is the first term of the quotient. 3. Multiply the-whole divisor by this term, and subtract...

## An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...truth of the following rule will become obvious by its great similarity to division in numbers. RULE. Divide the first term of the dividend by the first term of the divisor, and set the result in the quotient.* Multiply the whole divisor by the quotient thus found, and subtract...

## Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pages
...the power or index of a, we place them thus, a6d — a4c + a3b + a2 ; and then proceed by dividing the first term of the dividend by the first term of the divisor, placing the result in the quotient. We next multiply the whole divisor by the quotient thus found,...