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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. "
The popular educator - Page 217
by Popular educator - 1852
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New Elementary Arithmetic: Embracing Mental and Written Exercises for ...

Benjamin Greenleaf - Arithmetic - 1879 - 238 pages
...with the divisor beneath, after the integral part of the quotient. PROOF. — 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. Examples. 2031f 502 384f 335 How...
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The principles of arithmetic and their application to business explained

Alexander Ingram - 1881 - 192 pages
...by the other figures ; and to the last remainder annex the figures cut off from the dividend. PROOF. Multiply the quotient by the divisor, and to the product add the remainder, if any : the sum should be the dividend. Ex. Divide 35478 by 73. 73 is not contained in 35 ; pointing...
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A Brief Course in Arithmetic: Oral and Written : on the Basis of Works by ...

Henry Bartlett Maglathlin - Arithmetic - 1881 - 200 pages
...point in the quotient must be placed immediately under or over the point in the dividend. 75. Proof. Multiply the quotient by the divisor, and to the product add the remainder if any. Divide — 105. 6780 by 15. 109. 78.93 by 13. 106. 3762 by 24. 110. 91.75 by 65. 107. 6318 by...
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Concise system of arithmetic, re-arranged and enlarged by A. Trotter

A. Melrose - 1881 - 314 pages
...by the other figures, and to the last remainder annex the figures cut off from the dividend. PROOF. Multiply the quotient by the divisor, and to the product add the remainder ; or add the remainder, and all the partial products retaining the places which they occupy in the...
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The Complete Arithmetic, Oral and Written, on the Basis of Works

Henry Bartlett Maglathlin - Arithmetic - 1882 - 398 pages
...in the quotient must be placed immediately under or over the point in the dividend. 74. PROOF. — Multiply the quotient by the divisor, and to the product add the remainder, if any. The result should be the dividend. 75. Divide 182.72 by 45, and prove the work. 76. Find the quotient...
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The principles of arithmetic and their application to business explained

Alexander Ingram - 1883 - 190 pages
...by the other figures ; and to the last remainder annex the figures cut off from the dividend. PROOF. Multiply the quotient by the divisor, and to the product add the remainder, if any ; the sum should be the dividend. ANS. 486. Divisor. Dividend. Quotient. 73 ) 354,78 ( 486 Ex....
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Intermediate Arithmetic on the Inductive Method: With Parallel Mental and ...

James William Nicholson - Arithmetic - 1885 - 248 pages
...and prefix this пит- . ber to the next figure of the dividend, and divide as before. PROOF. — Multiply the quotient by the divisor, and to the product add the remainder, if any ; the result should be equal to the dividend. EXERCISES. Divide : Rem. 1. Rem. 2. Rem. 3. Rem....
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Division Simplified and Abbreviated: Also Contractions in Multiplication and ...

Patrick Murphy - Ready-reckoners - 1887 - 144 pages
...several partial quotients in the division. NOTE. To prove the above in the ordinary manner, we would multiply the quotient by the divisor, and to the product add the remainder; if correct, the sum will be the dividend. Let the reader perform the process as here indicated, using...
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Complete Arithmetic: Elements and Commercial. New Series

Christian Brothers - Arithmetic - 1888 - 484 pages
...obtained by dividing the parts of the dividend by the divisor, is the required quotient. PROOF. — Multiply the quotient by the divisor, and to the product add the remainder. If the result be equal to the dividend, the work is correct. WRITTEN 1£X ERCISES. LONG DIVISION. 1. Let...
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Primary Arithmetic, Mental and Written: New Series

Christian Brothers - Arithmetic - 1887 - 128 pages
...times, with a remainder of 2 units. Hence, the quotient of 9767 divided by 9 is 1085f . PROOF. — Multiply the quotient by the divisor, and to the product add the remainder; the result should be equal to the dividend. 4 ) 672 Ans. 168 168 jl Proof, 672 5. . ) 8145 1018i 1018...
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