Explanation:

Let's assess the divisibility step by step:

- Original number: 763254

- This number is divisible by 18, meaning it's divisible by both 2 and 9.

- Divisibility by 2 means the number ends with an even digit.

- Divisibility by 9 means the sum of its digits (7 + 6 + 3 + 2 + 5 + 4 = 27) is a multiple of 9.

- Subtract 5 times 41 (i.e., 205) from 763254:

- New number = 763254 - 205 = 763049

- Check divisibility of the new number:

- Option 1: Divisible by 2 - The new number ends with 9, which is odd. It’s not divisible by 2.

- Option 2: Divisible by 7 - Calculation shows 763049 ÷ 7 yields an exact integer (108,992), meaning it is divisible by 7.

- Option 3: Divisible by 5 - The new number doesn’t end with 0 or 5, hence not divisible by 5.

- Option 4: Divisible by 3 - The sum of the digits of 763049, i.e., 7 + 6 + 3 + 0 + 4 + 9 = 29, is not divisible by 3.

Therefore, the new number 763049 is only divisible by 7 among the given options.