We're dividing 508584 by 63 
We want to divide 508584 by 63.

Going ahead to step 1:
63 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 63

Step 2:
63 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Append the next digit (8) from the dividend to 50 and continue with: 508 / 63

Step 3:
508 divided by 63 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 504 from 508 leaves us with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 63

Moving on to step 4:
63 can be fit into 45 0 times, resulting in a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 80.0
If we subtract 0 from 45, we get 45.
Bring next digit (8) of the dividend behind the 45 and repeat the process: 458 / 63

On to step 5:
63 goes into 458 7 times with a remainder of 17.
The next digit of our result is 7. 
Result so far: 807.0
If we subtract 441 from 458, we get 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 63

Going ahead to step 6:
If we divide 174 by 63, we get 2 and a remainder of 48.
Record the quotient 2 as the next digit in the result. 
Result so far: 8072.0
Deduct 126 from 174 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 7:
480 divided by 63 is 7 with a remainder of 39.
The next digit of our result is 7. 
Result so far: 8072.7
Deduct 441 from 480 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 8:
The number 63 fits into 390 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 8072.76
The remainder is 12 after subtracting 378 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
The number 63 fits into 120 1 times, leaving a remainder of 57.
The number 1 becomes the next digit in our result. 
Result so far: 8072.761
The remainder is 57 after subtracting 63 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 10:
63 goes into 570 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 8072.7619
If we subtract 567 from 570, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 11:
63 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 8072.7619
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 12:
300 divided by 63 is 4 with a remainder of 48.
The next digit of our result is 4. 
Result so far: 8072.761904
If we take 252 away from 300, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 13:
If we divide 480 by 63, we get 7 and a remainder of 39.
Use 7 as the next digit of our solution. 
Result so far: 8072.7619047
If we take 441 away from 480, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 14:
63 goes into 390 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 8072.76190476
If we take 378 away from 390, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 8072.76190476 with a balance of 1.2e-08.