We're dividing 516709 by 6 
We want to figure out the number of times 516709 can be divided by 6.

Moving on to step 1:
If we divide 5 by 6, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 6

On to step 2:
If we divide 51 by 6, we get 8 and a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 48 from 51 leaves us with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 6

Moving on to step 3:
The number 6 fits into 36 6 times, leaving a remainder of 0.
The next digit of our result is 6. 
Result so far: 86.0
Subtract 36 from 36 to get 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 6

Going ahead to step 4:
If we divide 7 by 6, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 861.0
Subtracting 6 from 7 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 6

Let's proceed to step 5:
6 goes into 10 1 times with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 8611.0
The remainder is 4 after subtracting 6 from 10.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 6

Moving on to step 6:
The number 6 fits into 49 8 times, leaving a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 86118.0
The remainder is 1 after subtracting 48 from 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
When dividing 10 by 6, we get 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 86118.1
The remainder is 4 after subtracting 6 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
The number 6 fits into 40 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 86118.16
If we take 36 away from 40, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
40 divided by 6 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 86118.166
If we take 36 away from 40, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 86118.166 with a balance of 0.0004.