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DIVISION 50

to be divided by the number after it; thus 16- 4 shows that 16 is to be divided by 4.

2d. Division is also indicated by a curved line drawn between the divisor and the dividend; thus, 4)16. This also shows that 16 is to be divided by 4.

A 3rd way of expressing division is what is called fractional expression; thus, - This expression also shows that 16 is to be divided by 4.

16:4=4 4)16=4 . These three expressions are all read 16 divided by 4 equals 4.

§ 44. SHORT DIVISION, or when the divisor does not exceed 12. 1. Divide 8574 dollars equally among 6 men. Ans. 1429 dollars. OPERATION. We first inquire how Divisor 6 ) 8574 Dividend many times 6, the divisor, is contained in 8, 1429 Quotient the first figure of the dividend, which is thousands, and find it to be 1 time, and 2 thousands remaining. We write the 1 directly under the 8, its dividend, for the thousands' figure of the quotient. To 5, the next figure of the dividend, which is hundreds, we regard as prefixed the 2 thousands remaining, which equal 20 hundreds, thus forming 25 hundreds, in which we find the divisor 6 to be contained 4 times, and i hundred remaining. We write the 4 for the hundreds’ figure in the quotient, and the 1 hundred remaining, equal to 10 tens, we regard as prefixed to 7, the next figure of the dividend, which is tens, forming 17 tens, in which the divisor 6 is contained 2 times, and 5 tens remaining. We write the 2 for the tens' figure in the quotient, and the 5 tens remaining, equal to 50 units, we regard as prefixed to 4, the last figure of the dividend, which is units, forming 54 units, in which the divisor 6 is contained 9 times. Writing the 9 for the units’ figure of the quotient, we find 1429 as the entire quotient.