515175 ÷ 6 
Our goal is to divide 515175 by 6.

Advancing to step 1:
When dividing 5 by 6, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 6

Going ahead to step 2:
6 goes into 51 8 times with a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 48 from 51 to get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 6

On to step 3:
35 divided by 6 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
If we subtract 30 from 35, we get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 6

Going ahead to step 4:
If we divide 51 by 6, we get 8 and a remainder of 3.
The next digit of our result is 8. 
Result so far: 858.0
If we subtract 48 from 51, we get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Step 5:
6 can be fit into 37 6 times, resulting in a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 8586.0
The remainder is 1 after subtracting 36 from 37.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 6

Advancing to step 6:
15 divided by 6 is 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 85862.0
The remainder is 3 after subtracting 12 from 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
When dividing 30 by 6, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 85862.5
Deduct 30 from 30 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
0 divided by 6 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 85862.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
When dividing 0 by 6, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 85862.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 85862.5, and the remainder is 0.0.