Example 1: Divide 18.2754 by 4.
| 4 | ) | 18.2758 | |
| 4.5688 | 5 |
We divide 4 into 18 (units) and have 4 (units) quotient and 3 units remainder. Since the 4 is the unit’s figure of the quotient, we write the decimal point immediately after it. Then, the 2 units remainder and the 2 tenths of the dividend make 22 tenths to be divided by 4, and so on. Having reached the 4 (ten-thousandths) of the dividend, we find 8 (ten-thousandths) quotient and 2 remainder. This remainder is 20 hundred-thousandths, which when divided by 4 gives 5 (hundred-thousandths) and no further remainder.
Example 2: Divide 18.2758 by 11.
| 11 | ) | 18.2758 | |
| 1.6614 | 3636 |
Here we find the digits 3, 6 repeated indefinitely in the quotient. Decimals of this sort will be fully considered [later].
Example 3: Divide 354.43 by 184.
| 184 | ) | 3 | 5 | 4. | 4 | 3 | ( | 1.92625 Ans. | ||
| 1 | 7 | 0 | 4 | |||||||
| 4 | 8 | 3 | ||||||||
| 1 | 1 | 5 | 0 | [16] | ||||||
| 4 | 6 | 0 | ||||||||
| 9 | 2 | 0 | ||||||||
Here we find the first figure of the quotient is obtained by dividing 184 into 354 units. Having now reached the decimal point in the dividend we also put the decimal point in the answer, and go on as before.
[16] At this stage there is a remainder 115 hundredths. We bring down 0 from the dividend, and obtain 1150 thousandths, etc.