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" Multiply the integer of the quotient by the divisor, and to the product add the remainder, if any ; and the result will equal the dividend, if the work is right. "
Watson's Tutor's assistant; or, Complete school arithmetic - Page 22
by William Watson (of Beverley.) - 1845 - 12 pages
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Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1848 - 322 pages
...equal to the dividend. NOTE I. — To prove division, if there be a remainder. Multiply the integers of the quotient by the divisor, and to the product add the remainder. If the work be right, their sum will be equal to the dividend. Example. — Divide 1145 by 7. OPERATION....
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The Juvenile Arithmetick, and Scholar's Guide: Illustrated with Familiar ...

Martin Ruter - Arithmetic - 1831 - 190 pages
...; and proceed in this manner until all the figures in the dividend are brought down and used. - , ; PROOF. Multiply the quotient by the divisor, and to the product add the last remainder, if there be any; if the work is right, the sum will be equal to the dividend. i, ....
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The New System of Practical Arithmetic: Whereby Most of the Various Problems ...

Charles Potts - Arithmetic - 1835 - 202 pages
...immediately under the dividend. In this case- it is called short division, but otherwise long division. PROOF. — Multiply the quotient by the divisor, and to the product add the remainder. EXAMPLES. 1. Divide 963 by 3. Dividend. Divisor 3)963 Quotient 321 OPERATION. — As the divisor does...
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The Mercantile Arithmetic: Adapted to the Commerece of the United States, in ...

Michael Walsh - Arithmetic - 1838 - 346 pages
...the quotient for every figure so brought down, till the number be sufficient to contain the divisor. PROOF. Multiply the quotient by the divisor, and to the product add the remainder, and the sum will be equal to the dividend, if the .work be right. dividend, then divide the remaining...
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An Arithmetical Guide: In which the Principles of Numbers are Inductively ...

Richard W. Green - Arithmetic - 1840 - 300 pages
...may be assisted in finding others by comparing his partial dividend with some of the preceding ones. PRooF. — Multiply the quotient by the divisor; and, to the product, add the remainder, if there be any. The product will be the same as the dividend. APPLICATION OF THE RULES. 1 . How many...
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Porter's New System of Mathematics: With the Addition of a Complete Ready ...

James H. Porter - Arithmetic - 1841 - 210 pages
...the quotient for every figure so brought down, till the number be sufficient to contain the divisor. Proof. Multiply the quotient by the divisor, and to the product add the remainder, and the sum will be equal to the dividend, if the work is right. When there are ciphers annexed to...
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A Treatise of Arithmetic: Designed for the Use of the Elementary Schools ...

Arithmetic - 1843 - 142 pages
...by the other figures ; and to the last remainder annex the figures cut off from the dividend. PKOOF. Multiply the quotient by the divisor, and to the product add the remainder, if any ; the sum should be the dividend. Or cast the nines out of the divisor, dividend, quotient, and remainder....
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Elements of Arithmetic: Part I : Adapted to the Use of Common ..., Part 1

Z. Jones - Arithmetic - 1845 - 58 pages
...Quotient. 1. Divide 576 by 4. Ans. 144. 2. Divide 4284 by 6. Ans. 714. To verify a process in division, multiply the quotient by the divisor, and to the product add the remainder, (if there be any,) and if the result agree with the dividend the work is right. 3. Divide 8961 by 124....
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A New System of Arithmetic and Mathematics

James H. Porter - Arithmetic - 1845 - 254 pages
...the quotient for every figure so brought down, till the number be sufficient to contain the divisor. Proof. Multiply the quotient by the divisor, and to the product add the remainder, and the sum will be equal to the dividend, if the work is right. When there are ciphers annexed to...
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Intuitive arithmetic, the readiest and most concise method of calculation

Daniel O'Gorman - 1847 - 152 pages
...number found is called the quotient. METHOD OF PROOF. Multiply the quotient by the divisor adding in the remainder, if any, the product will be equal to the dividend if the work be right. A Table of composite numbers, and their component parts. 7 orl4— 2X 7 16— 4 X 4 18—...
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