.4375
×
8
(Multiply by 8)
1stintegralpart →
3.5000
×
8
( Multiplyonlythe fractional part of the first product by 8 again)
2ndintegralpart →
4.0000
The integral parts of the successive products are the digits of the octal form of the fraction, written in the order obtained, from top to bottom, and we get .437510 = .348.
We can check this, of course. Recall that .437510 = (7)/(16).