Answer:
[tex]\frac{1580}{13} = 121 + \frac{7}{13}[/tex].
Step-by-step explanation:
We have that the division algorithm formula is
m = pq + r, where m is the dividend, p is the divisor , q is the quotient and r the remainder.
Now, the quotient m/p will be written as
[tex]\frac{m}{p} = \frac{pq}{p} + \frac{r}{p}[/tex]
[tex]\frac{m}{p} = q + \frac{r}{p}[/tex].
We have that 1580/13= 121.53, 121 is the quotient, then
1580 = 13*121+7 and
[tex]\frac{1580}{13} = 121 + \frac{7}{13}[/tex].
