We look at the division of 12665634 by 823 
We want to figure out the number of times 12665634 can be divided by 823.

Moving on to step 1:
1 divided by 823 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 823

Moving on to step 2:
If we divide 12 by 823, we get 0 and a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 823

On to step 3:
823 can be fit into 126 0 times, resulting in a remainder of 126.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 126, we end up with 126.
Take the next digit (6) from the dividend and append it to 126, then repeat: 1266 / 823

Let's proceed to step 4:
823 goes into 1266 1 times with a remainder of 443.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 823 from 1266 leaves us with 443.
Bring next digit (5) of the dividend behind the 443 and repeat the process: 4435 / 823

Advancing to step 5:
823 can be fit into 4435 5 times, resulting in a remainder of 320.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we subtract 4115 from 4435, we get 320.
Bring next digit (6) of the dividend behind the 320 and repeat the process: 3206 / 823

Moving on to step 6:
When dividing 3206 by 823, we get 3 with a remainder of 737.
Record the quotient 3 as the next digit in the result. 
Result so far: 153.0
If we take 2469 away from 3206, we end up with 737.
Include the next digit (3) from the dividend after 737, then repeat: 7373 / 823

Moving on to step 7:
823 goes into 7373 8 times with a remainder of 789.
Use 8 as the next digit of our solution. 
Result so far: 1538.0
Subtracting 6584 from 7373 leaves us with 789.
Bring next digit (4) of the dividend behind the 789 and repeat the process: 7894 / 823

Step 8:
If we divide 7894 by 823, we get 9 and a remainder of 487.
Write down 9 as next digit of the result. 
Result so far: 15389.0
Subtracting 7407 from 7894 leaves us with 487.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4870, and continue the process.

Going ahead to step 9:
The number 823 fits into 4870 5 times, leaving a remainder of 755.
Write down 5 as next digit of the result. 
Result so far: 15389.5
Subtracting 4115 from 4870 leaves us with 755.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7550, and continue the process.

On to step 10:
7550 divided by 823 is 9 with a remainder of 143.
Write down 9 as next digit of the result. 
Result so far: 15389.59
Subtracting 7407 from 7550 leaves us with 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

On to step 11:
When dividing 1430 by 823, we get 1 with a remainder of 607.
Put 1 as the next digit of the answer. 
Result so far: 15389.591
If we subtract 823 from 1430, we get 607.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6070, and continue the process.

On to step 12:
The number 823 fits into 6070 7 times, leaving a remainder of 309.
Record the quotient 7 as the next digit in the result. 
Result so far: 15389.5917
The remainder is 309 after subtracting 5761 from 6070.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3090, and continue the process.

Moving on to step 13:
If we divide 3090 by 823, we get 3 and a remainder of 621.
Use 3 as the next digit of our solution. 
Result so far: 15389.59173
If we subtract 2469 from 3090, we get 621.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6210, and continue the process.

Going ahead to step 14:
823 goes into 6210 7 times with a remainder of 449.
The next digit of our result is 7. 
Result so far: 15389.591737
Deduct 5761 from 6210 and we're left with 449.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4490, and continue the process.

Let's proceed to step 15:
823 goes into 4490 5 times with a remainder of 375.
Use 5 as the next digit of our solution. 
Result so far: 15389.5917375
Deduct 4115 from 4490 and we're left with 375.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3750, and continue the process.

Moving on to step 16:
When dividing 3750 by 823, we get 4 with a remainder of 458.
Write down 4 as next digit of the result. 
Result so far: 15389.59173754
Deduct 3292 from 3750 and we're left with 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

After the division, we end up with 15389.59173754 and a remainder of 4.58e-07.