311331 ÷ 6 
Our goal is to divide 311331 by 6.

Advancing to step 1:
6 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 6

Advancing to step 2:
6 can be fit into 31 5 times, resulting in a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 30 away from 31, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 6

On to step 3:
6 can be fit into 11 1 times, resulting in a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 51.0
The remainder is 5 after subtracting 6 from 11.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 6

Advancing to step 4:
53 divided by 6 is 8 with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 518.0
Subtracting 48 from 53 leaves us with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 6

Going ahead to step 5:
6 can be fit into 53 8 times, resulting in a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 5188.0
Subtracting 48 from 53 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 6

Let's proceed to step 6:
If we divide 51 by 6, we get 8 and a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 51888.0
The remainder is 3 after subtracting 48 from 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
When dividing 30 by 6, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 51888.5
Subtracting 30 from 30 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
The number 6 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 51888.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
The number 6 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 51888.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 51888.5, and the remainder is 0.0.