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ARITHMETIC.
189
if we add this to 6, we have 9 the quotient. Divide 54 by 9.
1 | ||
9 | ) 54 ( | 8 |
Subtracting the 9 from 10, and adding the re- mainder to 5, we have 6 the quotient.
so
4 | ||
6 | ) 48( | 8 |
2 | ||
8 | ) 72 ( | 9 |
and so on.
And in cases where the dividend does not exactly contain the devisor, as in
1 | ||
9 | ) 76 ( | 8 |
we find by multiplication, that 8 multiplied by 9 gives 72, we have then 4 over, which is consequently 4 ninths.
"Thus in every case we have always the answer to the nearest whole number. Here also we have no need of the multiplication table, which, as I said before, is so difficult to learn, as the numbers themselves give us the answer; it is in their nature. You see then how easy it is to advance by our method, and we charge not the memory with what it is so difficult to fix."