-  8756 x 99999 = 8756 x (100000 - 1) = (8756 x 100000) - (8756 x 1)
               
                       = (875600000 - 8756) = 875591244

To solve the multiplication problem 8756 x 99999, we can use the standard multiplication algorithm.

Step 1: Write down the two numbers vertically with the units digit aligned.

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      8756

    x 99999

Step 2: Multiply the ones digit of the second number (9) with the first number (6) and write down the result in the ones digit of the answer.

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      8756

    x 99999

     ------

          4

Step 3: Move to the next digit of the second number (9) and multiply it with the first number (5). Write down the result in the tens digit of the answer and add any carry from the previous step.

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      8756

    x 99999

     ------

         24

        (1)

Step 4: Repeat Step 3 for each digit of the second number, moving from right to left, and adding any carry from the previous step.

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      8756

    x 99999

     ------

         24

        351

       6236

      87424

     875591

Step 5: The final result is 875591244, so the correct answer is option B.

In summary, we used the standard multiplication algorithm to find the product of 8756 and 99999. The algorithm involves multiplying each digit of one number with each digit of the other number and then adding the partial products. This algorithm is based on the distributive property of multiplication and can be applied to any two numbers.