We look at the division of 91008677 by 941 
We're looking to find how many times 941 goes into 91008677.

Advancing to step 1:
If we divide 9 by 941, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 941

Going ahead to step 2:
If we divide 91 by 941, we get 0 and a remainder of 91.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 91 to get 91.
Fetch the next digit (0) from the dividend, attach it to 91 and continue: 910 / 941

Step 3:
If we divide 910 by 941, we get 0 and a remainder of 910.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 910 to get 910.
Include the next digit (0) from the dividend after 910, then repeat: 9100 / 941

On to step 4:
The number 941 fits into 9100 9 times, leaving a remainder of 631.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 8469 from 9100, we get 631.
Bring next digit (8) of the dividend behind the 631 and repeat the process: 6318 / 941

Let's proceed to step 5:
6318 divided by 941 is 6 with a remainder of 672.
Use 6 as the next digit of our solution. 
Result so far: 96.0
If we take 5646 away from 6318, we end up with 672.
Take the next digit (6) from the dividend and append it to 672, then repeat: 6726 / 941

Going ahead to step 6:
941 goes into 6726 7 times with a remainder of 139.
Record the quotient 7 as the next digit in the result. 
Result so far: 967.0
Deduct 6587 from 6726 and we're left with 139.
Append the next digit (7) from the dividend to 139 and continue with: 1397 / 941

Step 7:
If we divide 1397 by 941, we get 1 and a remainder of 456.
The number 1 becomes the next digit in our result. 
Result so far: 9671.0
Deduct 941 from 1397 and we're left with 456.
Bring next digit (7) of the dividend behind the 456 and repeat the process: 4567 / 941

Step 8:
4567 divided by 941 is 4 with a remainder of 803.
Put 4 as the next digit of the answer. 
Result so far: 96714.0
The remainder is 803 after subtracting 3764 from 4567.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8030, and continue the process.

Let's proceed to step 9:
If we divide 8030 by 941, we get 8 and a remainder of 502.
Use 8 as the next digit of our solution. 
Result so far: 96714.8
If we take 7528 away from 8030, we end up with 502.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5020, and continue the process.

Let's proceed to step 10:
The number 941 fits into 5020 5 times, leaving a remainder of 315.
Put 5 as the next digit of the answer. 
Result so far: 96714.85
If we take 4705 away from 5020, we end up with 315.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3150, and continue the process.

Advancing to step 11:
941 can be fit into 3150 3 times, resulting in a remainder of 327.
Put 3 as the next digit of the answer. 
Result so far: 96714.853
If we subtract 2823 from 3150, we get 327.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3270, and continue the process.

Step 12:
When dividing 3270 by 941, we get 3 with a remainder of 447.
Record the quotient 3 as the next digit in the result. 
Result so far: 96714.8533
If we take 2823 away from 3270, we end up with 447.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4470, and continue the process.

In conclusion, the division gives 96714.8533 with a balance of 0.00447.