Let's divide 12641319 by 803
We're looking to find how many times 803 goes into 12641319.

Advancing to step 1:
If we divide 1 by 803, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 803

Moving on to step 2:
803 goes into 12 0 times with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 803

Going ahead to step 3:
803 goes into 126 0 times with a remainder of 126.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 126 to get 126.
Take the next digit (4) from the dividend and append it to 126, then repeat: 1264 / 803

Moving on to step 4:
If we divide 1264 by 803, we get 1 and a remainder of 461.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 803 from 1264, we get 461.
Take the next digit (1) from the dividend and append it to 461, then repeat: 4611 / 803

Moving on to step 5:
803 goes into 4611 5 times with a remainder of 596.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Deduct 4015 from 4611 and we're left with 596.
Bring next digit (3) of the dividend behind the 596 and repeat the process: 5963 / 803

Step 6:
When dividing 5963 by 803, we get 7 with a remainder of 342.
Use 7 as the next digit of our solution. 
Result so far: 157.0
Deduct 5621 from 5963 and we're left with 342.
Include the next digit (1) from the dividend after 342, then repeat: 3421 / 803

On to step 7:
The number 803 fits into 3421 4 times, leaving a remainder of 209.
The number 4 becomes the next digit in our result. 
Result so far: 1574.0
Deduct 3212 from 3421 and we're left with 209.
Include the next digit (9) from the dividend after 209, then repeat: 2099 / 803

Moving on to step 8:
803 goes into 2099 2 times with a remainder of 493.
The next digit of our result is 2. 
Result so far: 15742.0
If we subtract 1606 from 2099, we get 493.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4930, and continue the process.

On to step 9:
803 goes into 4930 6 times with a remainder of 112.
Use 6 as the next digit of our solution. 
Result so far: 15742.6
If we subtract 4818 from 4930, we get 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Step 10:
When dividing 1120 by 803, we get 1 with a remainder of 317.
Record the quotient 1 as the next digit in the result. 
Result so far: 15742.61
The remainder is 317 after subtracting 803 from 1120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3170, and continue the process.

Advancing to step 11:
803 can be fit into 3170 3 times, resulting in a remainder of 761.
Put 3 as the next digit of the answer. 
Result so far: 15742.613
Subtracting 2409 from 3170 leaves us with 761.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7610, and continue the process.

Let's proceed to step 12:
7610 divided by 803 is 9 with a remainder of 383.
Use 9 as the next digit of our solution. 
Result so far: 15742.6139
The remainder is 383 after subtracting 7227 from 7610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3830, and continue the process.

Going ahead to step 13:
3830 divided by 803 is 4 with a remainder of 618.
Use 4 as the next digit of our solution. 
Result so far: 15742.61394
If we subtract 3212 from 3830, we get 618.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6180, and continue the process.

Advancing to step 14:
The number 803 fits into 6180 7 times, leaving a remainder of 559.
The next digit of our result is 7. 
Result so far: 15742.613947
Deduct 5621 from 6180 and we're left with 559.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5590, and continue the process.

Moving on to step 15:
The number 803 fits into 5590 6 times, leaving a remainder of 772.
Put 6 as the next digit of the answer. 
Result so far: 15742.6139476
If we subtract 4818 from 5590, we get 772.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7720, and continue the process.

Going ahead to step 16:
803 goes into 7720 9 times with a remainder of 493.
Write down 9 as next digit of the result. 
Result so far: 15742.61394769
Subtract 7227 from 7720 to get 493.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4930, and continue the process.

In conclusion, the division gives 15742.61394769 with a balance of 4.93e-07.