Let's divide 31973 by 33
We want to divide 31973 by 33.

Advancing to step 1:
33 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 33

Moving on to step 2:
The number 33 fits into 31 0 times, leaving a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Take the next digit (9) from the dividend and append it to 31, then repeat: 319 / 33

Moving on to step 3:
The number 33 fits into 319 9 times, leaving a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we take 297 away from 319, we end up with 22.
Fetch the next digit (7) from the dividend, attach it to 22 and continue: 227 / 33

Step 4:
The number 33 fits into 227 6 times, leaving a remainder of 29.
Use 6 as the next digit of our solution. 
Result so far: 96.0
Subtract 198 from 227 to get 29.
Append the next digit (3) from the dividend to 29 and continue with: 293 / 33

Advancing to step 5:
The number 33 fits into 293 8 times, leaving a remainder of 29.
Write down 8 as next digit of the result. 
Result so far: 968.0
If we subtract 264 from 293, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 6:
33 can be fit into 290 8 times, resulting in a remainder of 26.
The next digit of our result is 8. 
Result so far: 968.8
Subtract 264 from 290 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
When dividing 260 by 33, we get 7 with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 968.87
Deduct 231 from 260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 8:
If we divide 290 by 33, we get 8 and a remainder of 26.
Use 8 as the next digit of our solution. 
Result so far: 968.878
Subtract 264 from 290 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 9:
260 divided by 33 is 7 with a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 968.8787
Subtracting 231 from 260 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 10:
33 goes into 290 8 times with a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 968.87878
Subtracting 264 from 290 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 11:
When dividing 260 by 33, we get 7 with a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 968.878787
Deduct 231 from 260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 12:
33 goes into 290 8 times with a remainder of 26.
The next digit of our result is 8. 
Result so far: 968.8787878
If we take 264 away from 290, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 13:
When dividing 260 by 33, we get 7 with a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 968.87878787
Deduct 231 from 260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final outcome is 968.87878787, with a leftover of 2.9e-08.