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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. "
The Elements of Algebra - Page 70
by George W. Lilley - 1892 - 402 pages
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...dividend and divisor according to the ascending or descending powers of the same letter in both. 2. Divide the first term of the dividend by the first term of the divisor ; the result will be the first term of the quotient, by which multiply all the terms in the divisor,...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1859 - 324 pages
...dividend and divisor with reference to a (Art. 44), placing the divisor on the left of the dividend. Divide the first term of the dividend by the first term of the divisor ; the result will be the first term of the quotient, which, for convenience, we place under the divisor....
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - Arithmetic - 1859 - 348 pages
...hand of the dividend, as in simple numbers. II. Find the first term of the quotient either by dividing the first term of the dividend by the first term of the divisor, or by dividing the first two terms of the dividend by the first two terms of the divisor ; multiply...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1860 - 330 pages
...polynomials, the following RULE. I. Arrange the dividend and divisor with reference to the same letter : II. Divide the first term of the dividend by the first...divisor, for the first term of the quotient. Multiply the divisor by this term of the quotient, and subtract the product from the dividend: m. Divide the first...
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An elementary course of practical mathematics, Part 1

James Elliot - 1860 - 252 pages
...both the divisor and the dividend according to the powers of some one letter contained in them : then divide the first term of the dividend by the first term of the divisor, for the first terra of the quotient. Multiply the whole divisor by the term thus found. Subtract the product from...
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The Progressive Higher Arithmetic, for Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...hand of the dividend, as in simple, numbers II. Find the first term of the quotient either by dividing the first term of the dividend by the first term of the divisor, or by dividing the first two terms of the dividend by the first two terms of the divisor ; multiply...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1860 - 412 pages
...certain letter, and then divide the first term on the left of the dividend by the first term on the left of the divisor, for the first term of the quotient ; multiply the divisor by this term and subtract the product from the dividend. II. Then divide the first term of...
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The elements of algebra. [With] Answers

Robert Fowler - 1861 - 426 pages
...both the divisor and dividend according to the powers of the same letter (a in the example) ; then to divide the first term of the dividend by the first term of the divisor, place the result in the quotient and multiply the divisor by it ; subtract and proceed similarly with...
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Common School Algebra

Thomas Sherwin - 1862 - 252 pages
...before; and thus continue, until all the terms of the root are found. \ Remark 2. In dividing, we merely divide the first term of the dividend by the first term of the divisor; and it is manifest, from the manner in which the divisors are obtained, as well as from inspection,...
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Algebra for Beginners: With Numerous Examples

Isaac Todhunter - Algebra - 1863 - 302 pages
...ascending powers of some common letter, or both according to descending powers of some common letter. Divide the first term of the dividend by the first term of the divisor, and put the result for the first term of the quotient; multiply the whole divisor by this term and...
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