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" Sometimes the divisor is not contained an exact number of times in the dividend, and, consequently, there will be a remainder at the close of the operation. "
A manual of explanatory arithmetic - Page 79
by Edward Hughes - 1849
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The North American Arithmetic: Part Third, for Advanced Scholars, Volume 3

Frederick Emerson - 1834 - 300 pages
...an exact number of times, may be carried down to the lower degrees of units, and divided therewith. When the divisor is not contained an exact number of times in the dividend, there will be a remainder at the end of the operation. This remainder, being a part of the dividend,...
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The North American Arithmetic: For Advanced Scholars. part third

Frederick Emerson - 1839 - 300 pages
...an exact number of times, may be carried down to the lower degrees of units, and divided therewith. When the divisor is not contained an exact number of times in the dividend, there will be a remainder at the end of the operation. This remainder, being a part of the dividend,...
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Arithmetic, Its Principles and Practice

James W. Kavanagh - 1846 - 304 pages
...quotient required stands under the dividend, and the last remainder, if any, is the remainder which should be placed to the right of the quotient, with the divisor under it, both being separated by a line. In addition, multiplication, and subtraction, we stated that the operations...
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The Boy's Arithmetic

Charles Arnold - 1850 - 164 pages
...there in 4 yards 3 qrs. 3 nL ? 8. How many grains are equal to 27 Ibs. 7 % 23 1 Э 2grs? Sometimes the divisor is not contained an exact number of times in the dividend : in that case the remainder must be set down to represent the units in the denomination, from which...
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A Practical and Theoretical Arithmetic: Designed for the Use of Schools and ...

Charles D. Lawrence - 1854 - 336 pages
...partial dividend the next figure in the dividend, thus forming the next partial dividend. 19, Whenever the divisor is not contained an exact number of times in the dividend, the remainder must be divided, since it is a part of the dividend. This division may be expressed by writing...
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Arithmetic, Oral and Written, Practically Applied by Means of Suggestive ...

Thomas H. Palmer - 1854 - 368 pages
...divisor, 20 the dividend, and 5, the number of times that 4 is contained in 20, is the quotient. Sometimes the divisor is not contained an exact number of times in the dividend, and, consequently, there will be a remainder at the close of the operation. Thus, if it be required...
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Arithmetic, Oral and Written, Practically Applied by Means of Suggestive ...

Thomas H. Palmer - 1854 - 356 pages
...divisor, 20 the dividend, and 5, the number of times that 4 is contained in 20, is the quotient. Sometimes the divisor is not contained an exact number of times in the dividend, and, consequently, there will be a remainder at the close of the operation. Thus, if it be required...
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Arithmetic for the use of Schools. Designed to assist Candidates preparing ...

W. M. LUPTON - 1867 - 210 pages
...and 6 taken. From this it will be seen that a fraction is the simplest form of expressing division, when the divisor is not contained an exact number of times in the dividend. In a vulgar fraction the figure below the line is called the Denominator, and the figure above the...
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The principles of arithmetic

Daniel O'Sullivan - 1872 - 382 pages
...figure of the quotient has been obtained, and also the " remainder " — if there should be one. E. — When the divisor is not contained an exact number of times in the dividend, the finding of the units' figure of the quotient does not necessarily terminate the division. For, as thousands...
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A Practical Arithmetic: Upon the Basis of the Works of Geo. R. Perkins

George Payn Quackenbos - 1872 - 350 pages
...dividing, is called the Quotient. It shows how many times the divisor is contained in the dividend. 85. When the divisor is not contained an exact number of times in the dividend, what is left over is called the Remainder. 5 in 1 7, 3 times and 2 over ; 1 7 is the dividend, 5 the...
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