DIVISION What is the process, by which we find 'how many times one number is contained in another, calls ed? Ans. Division. What is the process, of finding how many times one number is contained in another of the same kind, or denomination, called? Ans. Simple Division.. What do you mean by the same kind! Ans. All pounds, all drams, or all shillings, &c. How many parts is it divided into? Ans. 4. What are they called? Ans. Divisor, Dividend, Qurtient, and Remainder. What is that we divide by always called? a Divisor. What is the number to be divided called? Ans. Dividend. What is the result or answer called? Ans. Quotient. What is that which is sometimes lest after the sum is done called? Ans. Remainder. What is the remainder less than? Ans. Divisor. Of what sort or denomination is the reinainder? ans. Dividend. If your dividend for instance, is ounces, what is the remainder? Ans. Ounces. To illustrate division you count 9 cents into four parcels, of two in a parcel and one over; what would you call the number of parcels, into which the 9 cts. were divided? Ans. Quotient. What do you call the 9 cents? Ans. Dividend. What do you call the number in each parcel? Ans. Divisor. What do you call the one over? Ans. Remainder. On which hand of the dividend is the divisor to be placed, in doing the sums? Ans. On the left. On which hand the quotient? Ans. On the right. How many left hand figures of the dividend do you take first? Ans. As many as the divisor will go in, once, or more. How many steps are there in Division? Ans. 4. 1. Find how many times. 4. Bring down. After you have subtracted all along in doing the sum; what must the remainder be always less than, every time? Ans. Than the divisor. After you have brought down a figure, if the divisor is not contained in it, what do?" Ans. Put a cypher in the quotient and bring down another fig What do then? Ans. As before. When is your sum done? Ans. When all the figures are brought down, Which terms multiply together in proving your sum? - Ans. Quotient and Divisor. For instance, which multiply together in the above illustration by cents? What do with the remainder, if any in the proof! Ans. Add it in. What add, in the above illustration by cents? What must the result be like? Ans. Dividend. What must what you have multiplied together and and added, in the sum of illustration be like? What is division a short way of performing? Ans. Subtraction How many times does it save subtracting the divisor from the dividend? Ans. As many times as there are units in the quotient. For example divide 24 by 6, how many times must & be subtracted from 24 to get the same result as by dividing? Ans. 4; as 6 from 24 leaves 18; and 6 froin 18 leaves 12; and 6. from 12 leaves 6; and 6 from 6 leaves 0. How many times was 6 subtracted? Ans. As many times as there were units in the quotient.. How many units were there in the quotient? Ans. 4, for 6 in 24 4 times. EXAMPLES How many times 2 in 12? Ans. 6. Proof 6 times 2 are 12 How many times 4 in 12? - Ans. 3. Proof 3 times 4 are 12. How many times 3 in 30? Ans. 10. Proof 3 times 10 are 30. How many times 6 in 36? Ans. 6. Proof 6 times 6 are 36 How many times 4 in 43, and the proof! Divide 103 by 20, and prove it. Ans. 5 and 3 remain, proof 5 times 20 is 100, and 3 make 103. Divide 27 by 4 and prove it. 66 chesnuts are to be divided equally among 11 boys; how many is that apiece? Four boys found a bag containing 4 silver dollars; how many will they have apiece, if it is divided equally? In the above sum suppose the 2 largest boys should divide it equally among themselves; how many would it be apiece, and the proof? You buy 20 yards of cloth for 40 dollars, how much is it a yard? You have in five baskets 20 mellons, and they all hold an equal number, how niany are in each basket, and the proof? A father told his son that he put in the cellar last year, 60 bushels of potatoes: said the father, if you will tell me how many three bushel baskets full of potatoes it will hold, I will give you what one bush. el comes to when sold; the boy said 25 baskets, did he get his bushel and if not, how many did his answer differ from the true one? A boy had 50 marbles, he kept 10 himself and divided the rest equally among four other boys; how many did he give them apiece? Four boys have 2 parcels of chesnuts; in one parcel there are 48, in another 24 and each parcel is to be divided equally among them; how many will each have in all? Six boys drew in a pin lottery at one time 60 pins, at another time 24 pins; how many did each have after deducting 24 for what their tickets cost; if the pins are divided equally? A man gave his 4 sons a calf, telling them, they might have what it would come to, well fatted when it was 3 years old, if they would take good care of it, and they might keep it as well as they pleased; it was sold for 60 dollars, how much did each receive? Three men travelling together found a pocketbook containing 59 dollars, they agreed to advertise it, which would cost 2 dols, and if no owner appear ed, to divide the money equally between them; what did each receive after paying for the advertisement? If 23 pounds of tea cost 28 dollars, what will one pound cost? What will 2 pounds cost? What is 4 cwt. worth? What is 3 pounds worth then, in pence and cents when hay is 40 dols. a ton? If you give 16 cents for a pound of sugar how much is 1 oz. or 16, the nniber of parts a pound is drawn into, worth? How much is worth? You recollect that a pound of sugar was divided into 16 ounces, or 16 parts, and you have founi how much 12 oz. or 12 parts, that is if comes to now I wish you to tell me how much the remaining parts of the pound ara in fractions, and what they come to? You told me in Multiplication, that a dollar was divided into a ninepences, or eight parts, and inta |