Let's solve the division problem [tex]\( \frac{9}{2385} \)[/tex] step-by-step.
1. Set Up the Division:
We are dividing 9 by 2385.
2. Determine if 2385 fits into 9:
- Look at the number 9. We see that 2385 is much larger than 9.
- Since the numerator (9) is smaller than the denominator (2385), the quotient is obviously 0.
- This means [tex]\( 2385 \)[/tex] does not fit into [tex]\( 9 \)[/tex] even once.
3. Calculate the Integer Quotient:
Since [tex]\( 2385 \)[/tex] does not fit into [tex]\( 9 \)[/tex], the integer part of the quotient is [tex]\( 0 \)[/tex].
4. Calculate the Remainder:
- The remainder is what remains after we have divided as much of 9 by 2385 as possible.
- Since we could not divide at all, the whole of the numerator 9 remains as the remainder.
Therefore, the result of dividing 9 by 2385 yields a quotient of [tex]\( 0 \)[/tex] and a remainder of [tex]\( 9 \)[/tex].
The final answer is:
[tex]\[ \boxed{(0, 9)} \][/tex]
