402113 divided by 6 
We're looking to find how many times 6 goes into 402113.

Let's proceed to step 1:
If we divide 4 by 6, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 6

Going ahead to step 2:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 4 after subtracting 36 from 40.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 6

On 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
The remainder is 0 after subtracting 42 from 42.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 6

Moving on to step 4:
The number 6 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 670.0
If we subtract 0 from 1, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 6

Step 5:
The number 6 fits into 11 1 times, leaving a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 6701.0
The remainder is 5 after subtracting 6 from 11.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 6

Let's proceed to step 6:
If we divide 53 by 6, we get 8 and a remainder of 5.
The next digit of our result is 8. 
Result so far: 67018.0
If we take 48 away from 53, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
6 goes into 50 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 67018.8
Deduct 48 from 50 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.

Let's proceed to step 8:
20 divided by 6 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 67018.83
Subtract 18 from 20 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.

Step 9:
If we divide 20 by 6, we get 3 and a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 67018.833
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.

In conclusion, the division gives 67018.833 with a balance of 0.0002.