We're dividing 4718 by 6 
We're looking to find how many times 6 goes into 4718.

Going ahead to step 1:
The number 6 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 6

Step 2:
6 can be fit into 47 7 times, resulting in a remainder of 5.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 5 after subtracting 42 from 47.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 6

Moving on to step 3:
6 goes into 51 8 times with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 78.0
If we subtract 48 from 51, we get 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 6

Moving on to step 4:
38 divided by 6 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 786.0
Subtract 36 from 38 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 5:
When dividing 20 by 6, we get 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 786.3
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 6:
The number 6 fits into 20 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 786.33
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 786.33 with a remaining 0.002.