Question

Divide $102432$ by $36$ in the scale of seven.

Answer 1

$102432$ from scale of seven to decimal is $2\times 7^0+3\times 7^1+4\times 7^2+2\times 7^3+0\times 7^4+1\times 7^5=17712$

$36$ from scale of seven to decimal is $6\times 7^0+3\times 7^1=27$

Division between them is $=\frac{2234}{27}=656$

Now we need to represent this in scale of $7$ is:

When $656$ is divided by $7$ quotient is $93$ and remainder is $5$
When $93$ is divided by $7$ quotient is $13$ and remainder is $2$
When $13$ is divided by $7$ quotient is $1$ and remainder is $6$
When $1$ is divided by $7$ quotient is $0$ and remainder is $1$
Hence, the quotient is $1625$ in scale of seven.