65. 8532784001 67. 3161642984 69.757869396 71. 8493740754 73. 54310834375. 6859384075 4272 66. 3948641842 56943 76. 101101101101101. 111111 77. 61087107384.. 67108 78. 101101101101101.. 99999 79.571064249386.. 75321 80. 1234567894 81. 732062028073.. 69318 82. 727727727727 83 43107639410676 22222 .. 31725 9344584 47386107 84. 681241043101874 When the divisor does not exceed 12, the result may be obtained in one line, by mentally performing the successive multiplications and subtractions as we proceed, attending only to that part of the dividend, which ascertains the successive digits of the quotient, and only writing those digits. When the divisor is 10, 100, 1000, &c. division is instantly performed, by cutting off from the right-hand of the dividend as many digits as there are ciphers in the divisors: the figures cut off, are the remainder, and the other figures the quotient. Examples. Let 478415 be divided by 10, and 675832 by 100 If the divisor is any digit with ciphers annexed, by employing the foregoing method, we may readily arrive at the quotient, by considering the digit of the divisor, changed for an unit and dividing the quotient of this division, by the digit of the divisor. When any divisor has a cipher or ciphers at the right-hand thereof, cut off from the dividend as many digits as there are eiphers in the divisor, and proceed with the figures of the divi sor as before directed, neglecting the ciphers until the division is performed; when, if there is a remainder, the figures cut off are to be annexed thereto, and placed over the entire divisor in the form of a fraction. When there is not a remainder to division, the figures cut off are only to be so placed. Examples. Let 6410958042 be divided by 73400 73400) 6410958042 (873424163 5872 73400 When the divisor is large, it may sometimes save labour to make a tablet of the several products of the divisor, by which means division may be performed without the aid of multiplication, by making this tablet, by continual additions, as before noticed in multiplication. |