We're dividing 91311086 by 825 
Our goal is to divide 91311086 by 825.

Step 1:
The number 825 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 825

On to step 2:
91 divided by 825 is 0 with a remainder of 91.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 91, we end up with 91.
Take the next digit (3) from the dividend and append it to 91, then repeat: 913 / 825

Step 3:
825 can be fit into 913 1 times, resulting in a remainder of 88.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 825 from 913 to get 88.
Bring next digit (1) of the dividend behind the 88 and repeat the process: 881 / 825

Advancing to step 4:
The number 825 fits into 881 1 times, leaving a remainder of 56.
The next digit of our result is 1. 
Result so far: 11.0
If we take 825 away from 881, we end up with 56.
Take the next digit (1) from the dividend and append it to 56, then repeat: 561 / 825

Step 5:
561 divided by 825 is 0 with a remainder of 561.
Use 0 as the next digit of our solution. 
Result so far: 110.0
If we subtract 0 from 561, we get 561.
Take the next digit (0) from the dividend and append it to 561, then repeat: 5610 / 825

Step 6:
If we divide 5610 by 825, we get 6 and a remainder of 660.
The number 6 becomes the next digit in our result. 
Result so far: 1106.0
If we take 4950 away from 5610, we end up with 660.
Include the next digit (8) from the dividend after 660, then repeat: 6608 / 825

Let's proceed to step 7:
6608 divided by 825 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 11068.0
If we take 6600 away from 6608, we end up with 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 825

Advancing to step 8:
If we divide 86 by 825, we get 0 and a remainder of 86.
Record the quotient 0 as the next digit in the result. 
Result so far: 110680.0
Deduct 0 from 86 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 9:
825 goes into 860 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 110680.1
If we subtract 825 from 860, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
The number 825 fits into 350 0 times, leaving a remainder of 350.
Put 0 as the next digit of the answer. 
Result so far: 110680.1
If we take 0 away from 350, we end up with 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

On to step 11:
When dividing 3500 by 825, we get 4 with a remainder of 200.
Use 4 as the next digit of our solution. 
Result so far: 110680.104
If we take 3300 away from 3500, we end up with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Going ahead to step 12:
The number 825 fits into 2000 2 times, leaving a remainder of 350.
Use 2 as the next digit of our solution. 
Result so far: 110680.1042
Deduct 1650 from 2000 and we're left with 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

On to step 13:
825 goes into 3500 4 times with a remainder of 200.
Use 4 as the next digit of our solution. 
Result so far: 110680.10424
The remainder is 200 after subtracting 3300 from 3500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Going ahead to step 14:
825 goes into 2000 2 times with a remainder of 350.
The number 2 becomes the next digit in our result. 
Result so far: 110680.104242
If we subtract 1650 from 2000, we get 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Advancing to step 15:
When dividing 3500 by 825, we get 4 with a remainder of 200.
Put 4 as the next digit of the answer. 
Result so far: 110680.1042424
If we subtract 3300 from 3500, we get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Step 16:
If we divide 2000 by 825, we get 2 and a remainder of 350.
Use 2 as the next digit of our solution. 
Result so far: 110680.10424242
The remainder is 350 after subtracting 1650 from 2000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

In conclusion, the division gives 110680.10424242 with a balance of 3.5e-07.