333133 ÷ 31 
Our goal is to divide 333133 by 31.

Advancing to step 1:
31 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 31

Let's proceed to step 2:
31 can be fit into 33 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 31 from 33, we get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 31

Let's proceed to step 3:
31 can be fit into 23 0 times, resulting in a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 23 leaves us with 23.
Take the next digit (1) from the dividend and append it to 23, then repeat: 231 / 31

Advancing to step 4:
231 divided by 31 is 7 with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
Deduct 217 from 231 and we're left with 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 31

Step 5:
31 goes into 143 4 times with a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 1074.0
If we subtract 124 from 143, we get 19.
Grab the next digit (3) from the dividend, add it to 19, then carry on: 193 / 31

Step 6:
31 goes into 193 6 times with a remainder of 7.
The next digit of our result is 6. 
Result so far: 10746.0
The remainder is 7 after subtracting 186 from 193.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
The number 31 fits into 70 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 10746.2
The remainder is 8 after subtracting 62 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
80 divided by 31 is 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 10746.22
Subtract 62 from 80 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 10746.22 with a remainder of 0.018.