313433 ÷ 6 
Our goal is to divide 313433 by 6.

Step 1:
If we divide 3 by 6, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 6

Let's proceed to step 2:
When dividing 31 by 6, we get 5 with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 30 from 31, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 6

On to step 3:
When dividing 13 by 6, we get 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 52.0
If we subtract 12 from 13, we get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 6

Advancing to step 4:
6 can be fit into 14 2 times, resulting in a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 522.0
If we subtract 12 from 14, we get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 6

On to step 5:
6 can be fit into 23 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 5223.0
Subtracting 18 from 23 leaves us with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 6

On to step 6:
6 can be fit into 53 8 times, resulting in a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 52238.0
Deduct 48 from 53 and we're left 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.
Write down 8 as next digit of the result. 
Result so far: 52238.8
If we take 48 away from 50, we end up 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.

Advancing to step 8:
When dividing 20 by 6, we get 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 52238.83
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:
When dividing 20 by 6, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 52238.833
Subtracting 18 from 20 leaves us 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 52238.833 with a remainder of 0.0002.