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Let us try if filling the blank by one digit solves the problem. Let that digit be x. If it is not possible by a single digit then we take two digits later.

9x8071 be divisible by 11. It means the sum of odd digits and the sum of even digits differ by a multiple of 11.

So (9+8+7) - (x+0+1) = 11 * n for some integer n

24 - x - 1 = 11 * n

23 - x = 11 * n

the smallest value of x for which this happens is x = 1.

so answer is 1 and the number is 918071.

9x8071 be divisible by 11. It means the sum of odd digits and the sum of even digits differ by a multiple of 11.

So (9+8+7) - (x+0+1) = 11 * n for some integer n

24 - x - 1 = 11 * n

23 - x = 11 * n

the smallest value of x for which this happens is x = 1.

so answer is 1 and the number is 918071.