We're dividing 17331 by 31 
We want to figure out the number of times 17331 can be divided by 31.

Going ahead to step 1:
31 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 31

Step 2:
When dividing 17 by 31, we get 0 with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 31

On to step 3:
31 goes into 173 5 times with a remainder of 18.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 155 away from 173, we end up with 18.
Include the next digit (3) from the dividend after 18, then repeat: 183 / 31

Advancing to step 4:
31 goes into 183 5 times with a remainder of 28.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
Subtract 155 from 183 to get 28.
Grab the next digit (1) from the dividend, add it to 28, then carry on: 281 / 31

Advancing to step 5:
31 can be fit into 281 9 times, resulting in a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 559.0
If we subtract 279 from 281, we get 2.
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 6:
31 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 559.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
When dividing 200 by 31, we get 6 with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 559.06
If we subtract 186 from 200, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
The number 31 fits into 140 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 559.064
Subtracting 124 from 140 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
160 divided by 31 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 559.0645
Subtract 155 from 160 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
When dividing 50 by 31, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 559.06451
If we take 31 away from 50, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 11:
If we divide 190 by 31, we get 6 and a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 559.064516
The remainder is 4 after subtracting 186 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
31 goes into 40 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 559.0645161
Subtract 31 from 40 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 13:
90 divided by 31 is 2 with a remainder of 28.
The next digit of our result is 2. 
Result so far: 559.06451612
Subtracting 62 from 90 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final outcome is 559.06451612, with a leftover of 2.8e-08.