Let's divide 12965788 by 827
Our goal is to divide 12965788 by 827.

Going ahead to step 1:
When dividing 1 by 827, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 827

On to step 2:
If we divide 12 by 827, we get 0 and a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 827

Moving on to step 3:
827 can be fit into 129 0 times, resulting in a remainder of 129.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 129 and we're left with 129.
Take the next digit (6) from the dividend and append it to 129, then repeat: 1296 / 827

On to step 4:
The number 827 fits into 1296 1 times, leaving a remainder of 469.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 469 after subtracting 827 from 1296.
Append the next digit (5) from the dividend to 469 and continue with: 4695 / 827

On to step 5:
If we divide 4695 by 827, we get 5 and a remainder of 560.
Put 5 as the next digit of the answer. 
Result so far: 15.0
The remainder is 560 after subtracting 4135 from 4695.
Fetch the next digit (7) from the dividend, attach it to 560 and continue: 5607 / 827

Step 6:
If we divide 5607 by 827, we get 6 and a remainder of 645.
Put 6 as the next digit of the answer. 
Result so far: 156.0
The remainder is 645 after subtracting 4962 from 5607.
Append the next digit (8) from the dividend to 645 and continue with: 6458 / 827

On to step 7:
When dividing 6458 by 827, we get 7 with a remainder of 669.
Put 7 as the next digit of the answer. 
Result so far: 1567.0
If we take 5789 away from 6458, we end up with 669.
Take the next digit (8) from the dividend and append it to 669, then repeat: 6698 / 827

Going ahead to step 8:
827 goes into 6698 8 times with a remainder of 82.
Put 8 as the next digit of the answer. 
Result so far: 15678.0
Deduct 6616 from 6698 and we're left with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Advancing to step 9:
820 divided by 827 is 0 with a remainder of 820.
Put 0 as the next digit of the answer. 
Result so far: 15678.0
Deduct 0 from 820 and we're left with 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8200, and continue the process.

Advancing to step 10:
8200 divided by 827 is 9 with a remainder of 757.
The next digit of our result is 9. 
Result so far: 15678.09
If we take 7443 away from 8200, we end up with 757.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7570, and continue the process.

Going ahead to step 11:
827 can be fit into 7570 9 times, resulting in a remainder of 127.
Use 9 as the next digit of our solution. 
Result so far: 15678.099
Subtract 7443 from 7570 to get 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1270, and continue the process.

The final outcome is 15678.099, with a leftover of 0.0127.