We're dividing 333088 by 31 
We want to figure out the number of times 333088 can be divided by 31.

Moving on to step 1:
If we divide 3 by 31, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 31

Let's proceed to step 2:
31 can be fit into 33 1 times, resulting in a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 31 from 33 leaves us with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 31

On to step 3:
31 can be fit into 23 0 times, resulting in a remainder of 23.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 23, we end up with 23.
Include the next digit (0) from the dividend after 23, then repeat: 230 / 31

Step 4:
If we divide 230 by 31, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 107.0
Subtracting 217 from 230 leaves us with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 31

On to step 5:
31 can be fit into 138 4 times, resulting in a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 1074.0
If we take 124 away from 138, we end up with 14.
Fetch the next digit (8) from the dividend, attach it to 14 and continue: 148 / 31

Moving on to step 6:
31 goes into 148 4 times with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 10744.0
If we subtract 124 from 148, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
The number 31 fits into 240 7 times, leaving a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 10744.7
If we take 217 away from 240, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 8:
The number 31 fits into 230 7 times, leaving a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 10744.77
If we take 217 away from 230, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 10744.77, and the remainder is 0.013.