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 INTRODUCriON. Sect, III. On Division. Divide the dividend by the divisor, and if the quotient is found without a re- mainder the division is complete. When this cannot be done proceed as follows: When in the divisor there .are both affirmative and negative terms, if there are more of the former make one of them negative; if more of the latter make one of them affirmative. ^Vhen all the terms are affirmative make one negative, and when all are negative make one affirmative. When the number of affirmative terms is equal to that of the negative, it is optional to change one of them or not. Multiply the divisor (thus prepared) by the original divisor, and add the pro- ducts rejecting such quantities as destroy each other. Multiply the prepared divisor by the dividend, and divide the product of this multiplication by that of the former the result will be the quotient required. Example. Let the dividend be that which was the product in the first example under the rule for multiplication^ viz. 3 + /5^ + /i50--s/75, and the divisor v/]8+/3. f =25,^^ = 25,3-9,1 =3, f|=3, v/25=5, the quotient then is 5 + v^S. Jmther Example. Divide v/9 + v/54 + v/45 + /75 by 5 + /S. Make x/3 negative, and multiply 5 (^or v/25) — /3 by the divisor v^25 + v/S. + ^^25 -v/3 + '/3 +v/75 -v/9 + v/25 +/625- ->/75