We look at the division of 98566941 by 876 
Our goal is to divide 98566941 by 876.

Let's proceed to step 1:
When dividing 9 by 876, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 876

Advancing to step 2:
98 divided by 876 is 0 with a remainder of 98.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 98 and we're left with 98.
Fetch the next digit (5) from the dividend, attach it to 98 and continue: 985 / 876

On to step 3:
When dividing 985 by 876, we get 1 with a remainder of 109.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 876 from 985 to get 109.
Grab the next digit (6) from the dividend, add it to 109, then carry on: 1096 / 876

Let's proceed to step 4:
When dividing 1096 by 876, we get 1 with a remainder of 220.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 876 from 1096 to get 220.
Fetch the next digit (6) from the dividend, attach it to 220 and continue: 2206 / 876

Advancing to step 5:
The number 876 fits into 2206 2 times, leaving a remainder of 454.
Use 2 as the next digit of our solution. 
Result so far: 112.0
If we subtract 1752 from 2206, we get 454.
Fetch the next digit (9) from the dividend, attach it to 454 and continue: 4549 / 876

Moving on to step 6:
When dividing 4549 by 876, we get 5 with a remainder of 169.
The next digit of our result is 5. 
Result so far: 1125.0
Subtract 4380 from 4549 to get 169.
Include the next digit (4) from the dividend after 169, then repeat: 1694 / 876

On to step 7:
876 can be fit into 1694 1 times, resulting in a remainder of 818.
Use 1 as the next digit of our solution. 
Result so far: 11251.0
Deduct 876 from 1694 and we're left with 818.
Take the next digit (1) from the dividend and append it to 818, then repeat: 8181 / 876

On to step 8:
876 goes into 8181 9 times with a remainder of 297.
The number 9 becomes the next digit in our result. 
Result so far: 112519.0
The remainder is 297 after subtracting 7884 from 8181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2970, and continue the process.

Step 9:
876 can be fit into 2970 3 times, resulting in a remainder of 342.
The next digit of our result is 3. 
Result so far: 112519.3
If we take 2628 away from 2970, we end up with 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

Let's proceed to step 10:
876 can be fit into 3420 3 times, resulting in a remainder of 792.
Use 3 as the next digit of our solution. 
Result so far: 112519.33
The remainder is 792 after subtracting 2628 from 3420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7920, and continue the process.

The final result is 112519.33 with a remainder of 0.792.