Or the following rule may be used: Expunge the decimal point of the divisor, and move that of the dividend as many places to the right as there were places in the divisor, using ciphers if necessary. Then proceed as in common division, making one decimal place in the quotient for every decimal place of the final dividend which is used. Thus 17·314 divided by 61·2 is 173·14 divided by 612, and the decimal point must precede the first figure of the quotient. But 17·314 divided by 6617·5 is 173·14 by 66175; and since three decimal places of 173·14000 ... must be used before a quotient figure can be found, that quotient figure is the third decimal place, or the quotient is ·002.....
EXAMPLES.
| 3·1 | = 1240, | ·00062 | = ·00096875 |
| ·0025 | ·64 |
EXERCISES.
Shew that
| 15·006 × 15·006 - ·004 × ·004 | = 15·002, |
| 15·01 |
and that
| ·01 × ·01 × ·01 + 2·9 × 2·9 × 2·9 | = 2·9 × 2·9 - 2·9 × ·01 + ·01 × ·01 |
| 2·91 |
What are
| 1 | , | 1 | , and | 365 | , |
| 3·14159 | 2·7182818 | ·18349 |