We're dividing 402713 by 6 
We're looking to find how many times 6 goes into 402713.

Moving on to step 1:
6 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 6

Let's proceed to step 2:
When dividing 40 by 6, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 36 from 40, we get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 6

Let's proceed to step 3:
42 divided by 6 is 7 with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 67.0
If we take 42 away from 42, we end up with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 6

Moving on to step 4:
7 divided by 6 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 671.0
Deduct 6 from 7 and we're left with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 6

Moving on to step 5:
When dividing 11 by 6, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 6711.0
Deduct 6 from 11 and we're left with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 6

Advancing to step 6:
53 divided by 6 is 8 with a remainder of 5.
The next digit of our result is 8. 
Result so far: 67118.0
Subtract 48 from 53 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
If we divide 50 by 6, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 67118.8
The remainder is 2 after subtracting 48 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 67118.83
The remainder is 2 after subtracting 18 from 20.
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 9:
6 can be fit into 20 3 times, resulting in a remainder of 2.
The next digit of our result is 3. 
Result so far: 67118.833
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 67118.833 with a remainder of 0.0002.