# Division in base 6!!!

• November 28th 2008, 02:15 PM
Division in base 6!!!
Any help would be greatly appreciated, seeing as I am truly very confused!(Hi)

342 divided by 12 (in base 6)
• November 28th 2008, 07:01 PM
Soroban

Quote:

$342_6 \:\div\: 12_8$

You could convert the problem to base-ten, divide, then convert back to base-six.

We would have: . $134 \div 8 \;=\;16,\text{ rem.}6 \quad\Rightarrow\quad 24_6\text{, rem.}10_6$

I can show you what the division looks like base-six.

. . $\begin{array}{ccccc} & & & 2 & 4 \\ & - & - & - & - \\ 1\;2 & ) & 3 & 4 & 2 \\ & & 2 & 4 \\ & & - & - \\ & & 1 & 0 & 2 \\ & & & 5 & 2 \\ & & - & - & - \\ & & & 1 & 0\end{array}$