2. 41)8819 21)2695 31)3940 52)7904 3. 22)3570 32)3779 43)9213 23)4859 II. Divide 740 by 91. 8 91)740 728 12 Step 1. Divide: 74÷9-8. Write 8 over 0. Step 5. Bring down. (No figure to bring down.) It is best to multiply the divisor by the figure in the quotient without using a pencil before writing it under the dividend. Say: 91X8= 8X90=720 728 This method is helpful in estimating quotient figures. 24 79)1916 158 336 316 20 Step 1. Divide: As the divisor is so near 80, we think of it as 80 in estimating the quotient figure. 191÷79 (think 19+÷8) =2. Write 2. = Step 2. Multiply: 79X2=158. Write it. Step 4. Compare: Is 33 less than 79? Step 5. Bring down next figure, 6. New dividend, 336. Step 1. Divide: 33÷8=4. Go on with the other steps of the process. Before working the following examples estimate the 40. Estimating the Quotient Figure Divide $106.40 by 56. $1.90 56) $106.40 56 504 504 0 In this example it is not so easy to estimate correctly the quotient figure because our divisor is not near enough to 50 for us to use 5 each time as a trial divisor, nor near enough to 60 for us to use 6 each time as a trial divisor. If we estimate the first quotient figure as 2 (105) we find it too large, since 56X2 112, which cannot be taken from 106. We must therefore take 1 as the first quotient figure. Neither can we estimate the second quotient figure by dividing 50 by 5 or by 6. If we estimate 10 (50÷5), the quotient is too large. If we estimate 8 (50÷6), the quotient is too small. So we try 9 as the quotient figure and find that it is correct. 56 is contained in zero 0 times. We write 0 in the quotient. In dividing dollars and cents by a whole number, we write the decimals in the quotient over the decimals in the dividend. Practice with divisors of this kind will soon enable you to estimate the quotient figures promptly and correctly. Multiply orally two-figure numbers by a one-figure number. This is the best way to test the figure in the quotient. It also gives the product. Tests for the quotient figure: If the part of the dividend we are using or the remainder, like 50 in the example above, is almost equal to the divisor or the part of the divisor we are using in testing, the next figure of the quotient is likely to be 9 or 8. If the remainder is about one half of the divisor, the next quotient figure is likely to be 5; if a little larger than half, 6; if a little smaller than half, 4. 4. 46)$133.40 47)$131.60 76)$113.00 75)$210.00 35) $129.50 36)$133.20 8. 37)$461.90 44)$347.40 37)$344.52 41. Zero in the Quotient Divide 13986 by 46. 304 46)13986 138 186 184 2 76)$381.43 139÷46 (think 13÷4)=3. Write the 3 in the quotient over the 9. We must always be sure to write the first quotient figure over the last figure of that part of the dividend which we use for the first division. After bringing down 8, we have 18 for the new dividend. Since we cannot divide 18 by 46, we write 0 in the quotient, over the 8, and bring down the next figure of the dividend, 6. 186÷46 (think 18÷4)=4. The quotient is 304, the remainder 2. Copy and divide. One row is enough for one day's 56)22512 33)9999 48)33704 15)10629 27)8263 42)38062 19)11552 39)19734 42)8640 66)53330 17)15385 48)33936 60)6060 60)48540 72)39448 43)21586 Before solving each problem, estimate the answer. 1. Harry asked his father how many bushels of corn he raised on an acre of ground. His father said, "I got 1596 bushels from that 42-acre field. See if you can find the average yield per acre." Find what Harry's answer should have been. 2. Harry also found the yield of wheat. His father |