We look at the division of 213412 by 6 
Our goal is to divide 213412 by 6.

Moving on to step 1:
6 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 6

Going ahead to step 2:
6 can be fit into 21 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 18 from 21 leaves us with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

On to step 3:
6 goes into 33 5 times with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
If we subtract 30 from 33, we get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 6

Let's proceed to step 4:
34 divided by 6 is 5 with a remainder of 4.
The next digit of our result is 5. 
Result so far: 355.0
Subtracting 30 from 34 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 6

Going ahead to step 5:
41 divided by 6 is 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 3556.0
Deduct 36 from 41 and we're left with 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 6

Step 6:
6 can be fit into 52 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 35568.0
If we subtract 48 from 52, 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.

Advancing to step 7:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 35568.6
Subtract 36 from 40 to 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.

Going ahead to step 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 35568.66
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.

Our division results in 35568.66 with a remaining 0.004.