8100203 ÷ 623 
Let's see how many times 623 fits into 8100203.

Going ahead to step 1:
The number 623 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 623

Moving on to step 2:
623 goes into 81 0 times with a remainder of 81.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 81 after subtracting 0 from 81.
Append the next digit (0) from the dividend to 81 and continue with: 810 / 623

Going ahead to step 3:
If we divide 810 by 623, we get 1 and a remainder of 187.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 623 away from 810, we end up with 187.
Fetch the next digit (0) from the dividend, attach it to 187 and continue: 1870 / 623

Let's proceed to step 4:
The number 623 fits into 1870 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 1 after subtracting 1869 from 1870.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 623

Step 5:
623 can be fit into 12 0 times, resulting in a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 130.0
The remainder is 12 after subtracting 0 from 12.
Fetch the next digit (0) from the dividend, attach it to 12 and continue: 120 / 623

Going ahead to step 6:
When dividing 120 by 623, we get 0 with a remainder of 120.
Put 0 as the next digit of the answer. 
Result so far: 1300.0
If we subtract 0 from 120, we get 120.
Append the next digit (3) from the dividend to 120 and continue with: 1203 / 623

Step 7:
If we divide 1203 by 623, we get 1 and a remainder of 580.
Use 1 as the next digit of our solution. 
Result so far: 13001.0
Deduct 623 from 1203 and we're left with 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

Going ahead to step 8:
5800 divided by 623 is 9 with a remainder of 193.
Use 9 as the next digit of our solution. 
Result so far: 13001.9
Deduct 5607 from 5800 and we're left with 193.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1930, and continue the process.

Step 9:
If we divide 1930 by 623, we get 3 and a remainder of 61.
Use 3 as the next digit of our solution. 
Result so far: 13001.93
Subtracting 1869 from 1930 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 10:
When dividing 610 by 623, we get 0 with a remainder of 610.
The next digit of our result is 0. 
Result so far: 13001.93
Subtract 0 from 610 to get 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6100, and continue the process.

Going ahead to step 11:
If we divide 6100 by 623, we get 9 and a remainder of 493.
Put 9 as the next digit of the answer. 
Result so far: 13001.9309
If we subtract 5607 from 6100, 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.

Advancing to step 12:
The number 623 fits into 4930 7 times, leaving a remainder of 569.
Use 7 as the next digit of our solution. 
Result so far: 13001.93097
If we take 4361 away from 4930, we end up with 569.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5690, and continue the process.

Going ahead to step 13:
623 goes into 5690 9 times with a remainder of 83.
Put 9 as the next digit of the answer. 
Result so far: 13001.930979
Subtracting 5607 from 5690 leaves us with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Moving on to step 14:
623 can be fit into 830 1 times, resulting in a remainder of 207.
Write down 1 as next digit of the result. 
Result so far: 13001.9309791
The remainder is 207 after subtracting 623 from 830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2070, and continue the process.

Step 15:
2070 divided by 623 is 3 with a remainder of 201.
The next digit of our result is 3. 
Result so far: 13001.93097913
If we take 1869 away from 2070, we end up with 201.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2010, and continue the process.

After the division, we end up with 13001.93097913 and a remainder of 2.01e-07.