271321 ÷ 19 
We want to figure out the number of times 271321 can be divided by 19.

Step 1:
The number 19 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 19

Advancing to step 2:
If we divide 27 by 19, we get 1 and a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 19 from 27 leaves us with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 19

Let's proceed to step 3:
19 goes into 81 4 times with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtract 76 from 81 to get 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 19

Moving on to step 4:
19 goes into 53 2 times with a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 142.0
Subtract 38 from 53 to get 15.
Include the next digit (2) from the dividend after 15, then repeat: 152 / 19

Moving on to step 5:
The number 19 fits into 152 8 times, leaving a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 1428.0
Deduct 152 from 152 and we're left with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 19

Going ahead to step 6:
19 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 14280.0
Deduct 0 from 1 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 19, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 14280.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
19 goes into 100 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 14280.05
If we take 95 away from 100, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 14280.052
If we take 38 away from 50, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
19 goes into 120 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 14280.0526
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
When dividing 60 by 19, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 14280.05263
If we subtract 57 from 60, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 12:
The number 19 fits into 30 1 times, leaving a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 14280.052631
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.

On to step 13:
If we divide 110 by 19, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 14280.0526315
Subtracting 95 from 110 leaves us 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.

On to step 14:
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: 14280.05263157
Subtract 133 from 150 to 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.

Our division results in 14280.05263157 with a remaining 1.7e-08.