We're dividing 508629 by 95 
Our goal is to divide 508629 by 95.

Going ahead to step 1:
95 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 95

Step 2:
50 divided by 95 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Include the next digit (8) from the dividend after 50, then repeat: 508 / 95

On to step 3:
If we divide 508 by 95, we get 5 and a remainder of 33.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 475 from 508, we get 33.
Bring next digit (6) of the dividend behind the 33 and repeat the process: 336 / 95

Let's proceed to step 4:
If we divide 336 by 95, we get 3 and a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 53.0
If we subtract 285 from 336, we get 51.
Fetch the next digit (2) from the dividend, attach it to 51 and continue: 512 / 95

On to step 5:
If we divide 512 by 95, we get 5 and a remainder of 37.
Use 5 as the next digit of our solution. 
Result so far: 535.0
If we subtract 475 from 512, we get 37.
Take the next digit (9) from the dividend and append it to 37, then repeat: 379 / 95

Moving on to step 6:
95 goes into 379 3 times with a remainder of 94.
Write down 3 as next digit of the result. 
Result so far: 5353.0
The remainder is 94 after subtracting 285 from 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Step 7:
If we divide 940 by 95, we get 9 and a remainder of 85.
Write down 9 as next digit of the result. 
Result so far: 5353.9
If we take 855 away from 940, we end up with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Let's proceed to step 8:
If we divide 850 by 95, we get 8 and a remainder of 90.
Record the quotient 8 as the next digit in the result. 
Result so far: 5353.98
The remainder is 90 after subtracting 760 from 850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 9:
The number 95 fits into 900 9 times, leaving a remainder of 45.
Use 9 as the next digit of our solution. 
Result so far: 5353.989
If we take 855 away from 900, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 10:
The number 95 fits into 450 4 times, leaving a remainder of 70.
Write down 4 as next digit of the result. 
Result so far: 5353.9894
If we subtract 380 from 450, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 11:
95 goes into 700 7 times with a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 5353.98947
Subtract 665 from 700 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 12:
When dividing 350 by 95, we get 3 with a remainder of 65.
Write down 3 as next digit of the result. 
Result so far: 5353.989473
If we take 285 away from 350, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 13:
95 goes into 650 6 times with a remainder of 80.
The number 6 becomes the next digit in our result. 
Result so far: 5353.9894736
The remainder is 80 after subtracting 570 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 14:
95 can be fit into 800 8 times, resulting in a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 5353.98947368
If we subtract 760 from 800, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 5353.98947368, with a leftover of 4e-08.