506305 ÷ 6 
Let's see how many times 6 fits into 506305.

Moving on to step 1:
If we divide 5 by 6, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 6

Step 2:
The number 6 fits into 50 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 48 from 50, we get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 6

On to step 3:
If we divide 26 by 6, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 84.0
If we take 24 away from 26, we end up with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 6

Advancing to step 4:
6 goes into 23 3 times with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 843.0
If we take 18 away from 23, we end up with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 6

On to step 5:
6 can be fit into 50 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 8438.0
Deduct 48 from 50 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 6

Let's proceed to step 6:
When dividing 25 by 6, we get 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 84384.0
Subtracting 24 from 25 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
6 goes into 10 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 84384.1
Subtracting 6 from 10 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.

On to step 8:
The number 6 fits into 40 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 84384.16
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.

Moving on to step 9:
The number 6 fits into 40 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 84384.166
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 84384.166 with a remainder of 0.0004.