We look at the division of 516406 by 6 
We're looking to find how many times 6 goes into 516406.

Moving on to step 1:
If we divide 5 by 6, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 6

Step 2:
When dividing 51 by 6, we get 8 with a remainder of 3.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 48 from 51, we get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 6

Moving on to step 3:
6 goes into 36 6 times with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 86.0
Subtracting 36 from 36 leaves us with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 6

Step 4:
If we divide 4 by 6, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 860.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 6

Step 5:
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: 8606.0
If we take 36 away from 40, we end up with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 6

Going ahead to step 6:
If we divide 46 by 6, we get 7 and a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 86067.0
Deduct 42 from 46 and we're left 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.

Step 7:
6 goes into 40 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 86067.6
Subtracting 36 from 40 leaves us 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.

Advancing to step 8:
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: 86067.66
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 86067.66 and a remainder of 0.004.