When a positive integer m is divided by another positive integer n, the remainder obtained is 8. If m / n = 89.32, what is the value of n?

First, let's understand what the question is telling us:
m is divided by n
The remainder is 8
The quotient (m / n) is 89.32

We can represent this mathematically as:
m = n * q + r
Where:
m is the dividend
n is the divisor
q is the quotient (89.32)
r is the remainder (8)

We know that q is not a whole number, but in division with remainders, q should be the integer part of the division. So, we need to separate the integer and decimal parts:
q = 89 (integer part)
0.32 (decimal part)

Now, let's set up our equation:
m = n * 89 + 8

We also know that m / n = 89.32
This means: m = 89.32n

Now we have two expressions for m. Let's equate them:
89.32n = n * 89 + 8

Simplify:
89.32n = 89n + 8

Subtract 89n from both sides:
0.32n = 8

Divide both sides by 0.32:
n = 8 / 0.32 = 25

Therefore, the value of n is 25.