We look at the division of 8609902 by 633 
We want to divide 8609902 by 633.

On to step 1:
When dividing 8 by 633, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 633

Moving on to step 2:
633 goes into 86 0 times with a remainder of 86.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 86, we end up with 86.
Grab the next digit (0) from the dividend, add it to 86, then carry on: 860 / 633

Moving on to step 3:
633 goes into 860 1 times with a remainder of 227.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 633 from 860 leaves us with 227.
Fetch the next digit (9) from the dividend, attach it to 227 and continue: 2279 / 633

On to step 4:
2279 divided by 633 is 3 with a remainder of 380.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtracting 1899 from 2279 leaves us with 380.
Take the next digit (9) from the dividend and append it to 380, then repeat: 3809 / 633

Going ahead to step 5:
If we divide 3809 by 633, we get 6 and a remainder of 11.
The next digit of our result is 6. 
Result so far: 136.0
If we take 3798 away from 3809, we end up with 11.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 633

On to step 6:
The number 633 fits into 110 0 times, leaving a remainder of 110.
The number 0 becomes the next digit in our result. 
Result so far: 1360.0
Subtract 0 from 110 to get 110.
Grab the next digit (2) from the dividend, add it to 110, then carry on: 1102 / 633

Let's proceed to step 7:
If we divide 1102 by 633, we get 1 and a remainder of 469.
The next digit of our result is 1. 
Result so far: 13601.0
If we take 633 away from 1102, we end up with 469.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4690, and continue the process.

Advancing to step 8:
633 goes into 4690 7 times with a remainder of 259.
Write down 7 as next digit of the result. 
Result so far: 13601.7
The remainder is 259 after subtracting 4431 from 4690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2590, and continue the process.

Going ahead to step 9:
If we divide 2590 by 633, we get 4 and a remainder of 58.
Record the quotient 4 as the next digit in the result. 
Result so far: 13601.74
Deduct 2532 from 2590 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 10:
633 goes into 580 0 times with a remainder of 580.
Use 0 as the next digit of our solution. 
Result so far: 13601.74
The remainder is 580 after subtracting 0 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

On to step 11:
633 can be fit into 5800 9 times, resulting in a remainder of 103.
Use 9 as the next digit of our solution. 
Result so far: 13601.7409
Deduct 5697 from 5800 and we're left with 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Advancing to step 12:
633 goes into 1030 1 times with a remainder of 397.
The next digit of our result is 1. 
Result so far: 13601.74091
If we take 633 away from 1030, we end up with 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

Going ahead to step 13:
If we divide 3970 by 633, we get 6 and a remainder of 172.
The next digit of our result is 6. 
Result so far: 13601.740916
If we subtract 3798 from 3970, we get 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Let's proceed to step 14:
If we divide 1720 by 633, we get 2 and a remainder of 454.
The number 2 becomes the next digit in our result. 
Result so far: 13601.7409162
The remainder is 454 after subtracting 1266 from 1720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Let's proceed to step 15:
When dividing 4540 by 633, we get 7 with a remainder of 109.
The next digit of our result is 7. 
Result so far: 13601.74091627
Subtract 4431 from 4540 to get 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

The final result is 13601.74091627 with a remainder of 1.09e-07.