6130583 ÷ 504 
Our goal is to divide 6130583 by 504.

Step 1:
If we divide 6 by 504, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 504

Advancing to step 2:
61 divided by 504 is 0 with a remainder of 61.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 61 and we're left with 61.
Take the next digit (3) from the dividend and append it to 61, then repeat: 613 / 504

Moving on to step 3:
If we divide 613 by 504, we get 1 and a remainder of 109.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 109 after subtracting 504 from 613.
Append the next digit (0) from the dividend to 109 and continue with: 1090 / 504

On to step 4:
504 goes into 1090 2 times with a remainder of 82.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 82 after subtracting 1008 from 1090.
Grab the next digit (5) from the dividend, add it to 82, then carry on: 825 / 504

Moving on to step 5:
When dividing 825 by 504, we get 1 with a remainder of 321.
The next digit of our result is 1. 
Result so far: 121.0
If we subtract 504 from 825, we get 321.
Fetch the next digit (8) from the dividend, attach it to 321 and continue: 3218 / 504

Step 6:
If we divide 3218 by 504, we get 6 and a remainder of 194.
Write down 6 as next digit of the result. 
Result so far: 1216.0
If we subtract 3024 from 3218, we get 194.
Append the next digit (3) from the dividend to 194 and continue with: 1943 / 504

Going ahead to step 7:
The number 504 fits into 1943 3 times, leaving a remainder of 431.
Record the quotient 3 as the next digit in the result. 
Result so far: 12163.0
If we take 1512 away from 1943, we end up with 431.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4310, and continue the process.

Moving on to step 8:
The number 504 fits into 4310 8 times, leaving a remainder of 278.
The number 8 becomes the next digit in our result. 
Result so far: 12163.8
If we subtract 4032 from 4310, we get 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

Going ahead to step 9:
504 can be fit into 2780 5 times, resulting in a remainder of 260.
Use 5 as the next digit of our solution. 
Result so far: 12163.85
If we take 2520 away from 2780, we end up with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Going ahead to step 10:
If we divide 2600 by 504, we get 5 and a remainder of 80.
Put 5 as the next digit of the answer. 
Result so far: 12163.855
If we take 2520 away from 2600, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Our division results in 12163.855 with a remaining 0.008.