54 SPECIAL TOPICS IN THEORETICAL ARITHMETIC

For working the example above in the sexidenal notation
it is convenient while multiplying by () to place the paper
under the () row in the multiplication table, while multiply-
ing by © to place it under the ® row, and so on.

 

121. Examples in Division.
Short Division.
Radix 4 Radix 4 Radix 1) Radix 1)
2)32010 3)31203 2)8¥330 ¥)92T28
13002 10201 45798 044T

For working the last example above, in the sexidenal nota-
tion, it is convenient to use the multiplication table.

Long Division.

 

 

 

Radix 2 Radix 4 Radix T8 = 'T1G9
i1 - . 3103 SRl = 392
101[110111 2332122331 7892932289 3X 1750
101 2031 26%2 4 1324
111 313 2502 g 3232
i 200 et - oy 3678
101 2031 52%¥8 8 348

101 2031 526T 9 4611

— e —— ¥ 4227
769 5573

IC9 ¢ 526T

2 6535

? 6TaY

a 747

10 7890

As in the last example above it is frequently a help to first
work out the multiples of the divisor from 1 X to 10 X.(%)
We form the successiv multiples by successivly adding the first

(1) See Jules Tannery, Legons d’Arithmétique, p. 90, Paris, Armand
Colin and Co., 1900,