19. Íf 3192 be divided by 42; what is the quotient? Anf. 76. 20. There are 187 men, who are to have 23188 pounds among them; how much must each man have? Anf. 124 pounds. 21. What number muft we multiply 43782 by, to make the product 529937328? Anf. 12104. 22. What number, added to the 43d part of 4429, will make the fum 240? 137. Anf. 23. The fum of two numbers is 360, the leffer number is 144; what is their difference, product, and quotient? Anf. 72 diff.-31104 prod.-1 quot CONTRACTIONS. W HEN there is a cipher or ciphers on the right hand of the divifor. R U L E. Cut off the cipher or ciphers from the divifor, and the fame number of figures from the right hand of the dividend. Then, divide the remaining figures as before directed, taking care that the figures you cut off from the dividend be annexed to the remainder. EXAMPLE S. 1. Divide 414187187421 by 3800. Divifor. Dividend. Quotient. 38,00)4141871874,21 (10899662830 38 1021 3800 871973024 326989884 · 341 251 414187187421 Proof CONTRACTION II. When the divifor is the product of two or more fmall numbers. R U L E. Divide continually by thefe numbers, and if there be any remainder after fuch divifions, multiply the last remainder by the next preceding divifor, and to the product add the remainder belonging to the fame divifor. Then, multiply the fum by the next divifor, (if any) and to the product add its correfponding remainder. Proceed, in the fame manner, through all the divifors and remainders, fo fhall the laft fum be the true remainder. EXAMPLE S. 1. Divide 6141487124 by 56. 56 8 6141487124 1627767685890 4 Quotient 109669412 6X8=48+4=52 Remainder. 6. Divide 71871871412 by 1320. Anf. 5444838710 CONTRACTION III. To perform divifion in a shorter way. R U L E. Place the numbers and divide as before; but, instead of writing down the product of the divifor and each quotient figure, fubtract each figure as it is produced. This greatly fhortens the work, and will anfwer extremely well when the divifor is small. EXAMPLE S. 1 Divide 476871284 by 694. 694)476871284(687134388 6047 Anf. 102479481. 5. Divide 62015735 by 7803. Anf. 7947430 3. Divide 48710187164 by 16794. Anf. 290045197 7. Divide 371871018721 by 219107. Anf. 1697211208164. L. denotes libræ, or pounds; s. folidi, or fhillings; 4. denarii, or pence; and qrs. quadrantes, or farthings. fignifies one farthing; two farthings, or one three farthings. half penny, and A |