We're dividing 6577868 by 317 
Our goal is to divide 6577868 by 317.

Going ahead to step 1:
If we divide 6 by 317, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 317

Let's proceed to step 2:
65 divided by 317 is 0 with a remainder of 65.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Bring next digit (7) of the dividend behind the 65 and repeat the process: 657 / 317

Step 3:
317 can be fit into 657 2 times, resulting in a remainder of 23.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 634 from 657, we get 23.
Bring next digit (7) of the dividend behind the 23 and repeat the process: 237 / 317

Step 4:
If we divide 237 by 317, we get 0 and a remainder of 237.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
The remainder is 237 after subtracting 0 from 237.
Fetch the next digit (8) from the dividend, attach it to 237 and continue: 2378 / 317

On to step 5:
2378 divided by 317 is 7 with a remainder of 159.
The number 7 becomes the next digit in our result. 
Result so far: 207.0
Subtracting 2219 from 2378 leaves us with 159.
Include the next digit (6) from the dividend after 159, then repeat: 1596 / 317

Step 6:
1596 divided by 317 is 5 with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 2075.0
Subtracting 1585 from 1596 leaves us with 11.
Include the next digit (8) from the dividend after 11, then repeat: 118 / 317

Moving on to step 7:
118 divided by 317 is 0 with a remainder of 118.
Record the quotient 0 as the next digit in the result. 
Result so far: 20750.0
Subtract 0 from 118 to get 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Advancing to step 8:
The number 317 fits into 1180 3 times, leaving a remainder of 229.
Use 3 as the next digit of our solution. 
Result so far: 20750.3
Subtracting 951 from 1180 leaves us with 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Moving on to step 9:
When dividing 2290 by 317, we get 7 with a remainder of 71.
The number 7 becomes the next digit in our result. 
Result so far: 20750.37
Deduct 2219 from 2290 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 10:
If we divide 710 by 317, we get 2 and a remainder of 76.
The number 2 becomes the next digit in our result. 
Result so far: 20750.372
If we take 634 away from 710, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 11:
If we divide 760 by 317, we get 2 and a remainder of 126.
The next digit of our result is 2. 
Result so far: 20750.3722
Subtract 634 from 760 to get 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

In conclusion, the division gives 20750.3722 with a balance of 0.00126.