4129813 ÷ 508 
Let's see how many times 508 fits into 4129813.

Step 1:
508 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 508

Step 2:
41 divided by 508 is 0 with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (2) of the dividend behind the 41 and repeat the process: 412 / 508

Step 3:
When dividing 412 by 508, we get 0 with a remainder of 412.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 412, we get 412.
Take the next digit (9) from the dividend and append it to 412, then repeat: 4129 / 508

Step 4:
508 can be fit into 4129 8 times, resulting in a remainder of 65.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 4064 from 4129 to get 65.
Include the next digit (8) from the dividend after 65, then repeat: 658 / 508

Advancing to step 5:
658 divided by 508 is 1 with a remainder of 150.
The next digit of our result is 1. 
Result so far: 81.0
The remainder is 150 after subtracting 508 from 658.
Take the next digit (1) from the dividend and append it to 150, then repeat: 1501 / 508

On to step 6:
When dividing 1501 by 508, we get 2 with a remainder of 485.
Record the quotient 2 as the next digit in the result. 
Result so far: 812.0
If we take 1016 away from 1501, we end up with 485.
Append the next digit (3) from the dividend to 485 and continue with: 4853 / 508

Let's proceed to step 7:
The number 508 fits into 4853 9 times, leaving a remainder of 281.
Put 9 as the next digit of the answer. 
Result so far: 8129.0
Deduct 4572 from 4853 and we're left with 281.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2810, and continue the process.

Let's proceed to step 8:
2810 divided by 508 is 5 with a remainder of 270.
The number 5 becomes the next digit in our result. 
Result so far: 8129.5
If we take 2540 away from 2810, we end up with 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

On to step 9:
When dividing 2700 by 508, we get 5 with a remainder of 160.
Use 5 as the next digit of our solution. 
Result so far: 8129.55
Subtracting 2540 from 2700 leaves us with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

The final outcome is 8129.55, with a leftover of 0.16.