Let's divide 10171 by 33
Let's see how many times 33 fits into 10171.

Going ahead to step 1:
33 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 33

On to step 2:
If we divide 10 by 33, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 33

Let's proceed to step 3:
If we divide 101 by 33, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 99 from 101 leaves us with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 33

Moving on to step 4:
33 goes into 27 0 times with a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
Subtract 0 from 27 to get 27.
Take the next digit (1) from the dividend and append it to 27, then repeat: 271 / 33

Advancing to step 5:
33 can be fit into 271 8 times, resulting in a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 308.0
Subtracting 264 from 271 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 6:
If we divide 70 by 33, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 308.2
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
40 divided by 33 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 308.21
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
If we divide 70 by 33, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 308.212
If we take 66 away from 70, we end up with 4.
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 9:
The number 33 fits into 40 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 308.2121
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 10:
If we divide 70 by 33, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 308.21212
Subtracting 66 from 70 leaves us with 4.
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 11:
The number 33 fits into 40 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 308.212121
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 12:
33 can be fit into 70 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 308.2121212
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
The number 33 fits into 40 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 308.21212121
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 308.21212121 with a balance of 7e-09.