Let's assume the number be x.
Since Josh divided a number by 8. So, it can be written as x/8.
Given the quotient is 73 with remainder 6.
Now, quotient+ remainder / divisor= 73 + 6/8 (Since the divisor is 8).
Hence we can set the equation as,
x/8= 73+[tex] \frac{6}{8} [/tex]
[tex] \frac{x}{8} =\frac{73*8}{8} +\frac{6}{8} [/tex]
[tex] \frac{x}{8} =\frac{584}{8} +\frac{6}{8} [/tex]
[tex] \frac{x}{8} =\frac{584+6}{8} [/tex]
[tex]\frac{x}{8} =\frac{590}{8} [/tex]
[tex] \frac{x}{8} *8=\frac{590}{8} *8 [/tex]
x=590
So, the number is 590.
