Let's divide 233171 by 19
We're looking to find how many times 19 goes into 233171.

Moving on to step 1:
19 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 19

Going ahead to step 2:
When dividing 23 by 19, we get 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 19 from 23 to get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 19

Going ahead to step 3:
When dividing 43 by 19, we get 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we subtract 38 from 43, we get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 19

Moving on to step 4:
If we divide 51 by 19, we get 2 and a remainder of 13.
The next digit of our result is 2. 
Result so far: 122.0
The remainder is 13 after subtracting 38 from 51.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 19

Going ahead to step 5:
The number 19 fits into 137 7 times, leaving a remainder of 4.
The next digit of our result is 7. 
Result so far: 1227.0
If we subtract 133 from 137, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 19

Step 6:
19 can be fit into 41 2 times, resulting in a remainder of 3.
The next digit of our result is 2. 
Result so far: 12272.0
The remainder is 3 after subtracting 38 from 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
When dividing 30 by 19, we get 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 12272.1
Subtracting 19 from 30 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
If we divide 110 by 19, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 12272.15
Deduct 95 from 110 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
19 goes into 150 7 times with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 12272.157
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 10:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 12272.1578
Subtracting 152 from 170 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
If we divide 180 by 19, we get 9 and a remainder of 9.
The next digit of our result is 9. 
Result so far: 12272.15789
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
19 can be fit into 90 4 times, resulting in a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 12272.157894
If we take 76 away from 90, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
When dividing 140 by 19, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 12272.1578947
If we take 133 away from 140, 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.

Step 14:
19 goes into 70 3 times with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 12272.15789473
If we subtract 57 from 70, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 12272.15789473 and a remainder of 1.3e-08.