We're dividing 4108687 by 603 
Our goal is to divide 4108687 by 603.

Advancing to step 1:
The number 603 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 603

Moving on to step 2:
If we divide 41 by 603, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Fetch the next digit (0) from the dividend, attach it to 41 and continue: 410 / 603

Advancing to step 3:
603 can be fit into 410 0 times, resulting in a remainder of 410.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 410 and we're left with 410.
Grab the next digit (8) from the dividend, add it to 410, then carry on: 4108 / 603

On to step 4:
603 can be fit into 4108 6 times, resulting in a remainder of 490.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 490 after subtracting 3618 from 4108.
Fetch the next digit (6) from the dividend, attach it to 490 and continue: 4906 / 603

Advancing to step 5:
4906 divided by 603 is 8 with a remainder of 82.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
The remainder is 82 after subtracting 4824 from 4906.
Include the next digit (8) from the dividend after 82, then repeat: 828 / 603

Advancing to step 6:
When dividing 828 by 603, we get 1 with a remainder of 225.
The number 1 becomes the next digit in our result. 
Result so far: 681.0
If we subtract 603 from 828, we get 225.
Bring next digit (7) of the dividend behind the 225 and repeat the process: 2257 / 603

Going ahead to step 7:
When dividing 2257 by 603, we get 3 with a remainder of 448.
Use 3 as the next digit of our solution. 
Result so far: 6813.0
Subtracting 1809 from 2257 leaves us with 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Advancing to step 8:
603 goes into 4480 7 times with a remainder of 259.
The next digit of our result is 7. 
Result so far: 6813.7
Subtracting 4221 from 4480 leaves us with 259.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2590, and continue the process.

On to step 9:
603 can be fit into 2590 4 times, resulting in a remainder of 178.
Write down 4 as next digit of the result. 
Result so far: 6813.74
If we take 2412 away from 2590, we end up with 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Step 10:
The number 603 fits into 1780 2 times, leaving a remainder of 574.
Put 2 as the next digit of the answer. 
Result so far: 6813.742
Subtracting 1206 from 1780 leaves us with 574.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5740, and continue the process.

Going ahead to step 11:
If we divide 5740 by 603, we get 9 and a remainder of 313.
The number 9 becomes the next digit in our result. 
Result so far: 6813.7429
Subtract 5427 from 5740 to get 313.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3130, and continue the process.

Step 12:
3130 divided by 603 is 5 with a remainder of 115.
Put 5 as the next digit of the answer. 
Result so far: 6813.74295
Subtracting 3015 from 3130 leaves us with 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

Advancing to step 13:
603 goes into 1150 1 times with a remainder of 547.
The next digit of our result is 1. 
Result so far: 6813.742951
Subtracting 603 from 1150 leaves us with 547.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5470, and continue the process.

Moving on to step 14:
603 goes into 5470 9 times with a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 6813.7429519
Deduct 5427 from 5470 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 15:
430 divided by 603 is 0 with a remainder of 430.
The number 0 becomes the next digit in our result. 
Result so far: 6813.7429519
The remainder is 430 after subtracting 0 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Our division results in 6813.7429519 with a remaining 4.3e-07.