We look at the division of 271267 by 51 
Our goal is to divide 271267 by 51.

Step 1:
The number 51 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 51

Moving on to step 2:
If we divide 27 by 51, we get 0 and a remainder of 27.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 27 leaves us with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 51

Step 3:
When dividing 271 by 51, we get 5 with a remainder of 16.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 255 from 271 leaves us with 16.
Bring next digit (2) of the dividend behind the 16 and repeat the process: 162 / 51

Let's proceed to step 4:
If we divide 162 by 51, we get 3 and a remainder of 9.
The next digit of our result is 3. 
Result so far: 53.0
If we subtract 153 from 162, we get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 51

Let's proceed to step 5:
The number 51 fits into 96 1 times, leaving a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 531.0
If we subtract 51 from 96, we get 45.
Bring next digit (7) of the dividend behind the 45 and repeat the process: 457 / 51

Going ahead to step 6:
457 divided by 51 is 8 with a remainder of 49.
The next digit of our result is 8. 
Result so far: 5318.0
Subtracting 408 from 457 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 7:
The number 51 fits into 490 9 times, leaving a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 5318.9
Subtracting 459 from 490 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 8:
The number 51 fits into 310 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 5318.96
Subtracting 306 from 310 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 9:
If we divide 40 by 51, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 5318.96
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
The number 51 fits into 400 7 times, leaving a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 5318.9607
If we subtract 357 from 400, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 11:
If we divide 430 by 51, we get 8 and a remainder of 22.
The next digit of our result is 8. 
Result so far: 5318.96078
If we subtract 408 from 430, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 12:
51 can be fit into 220 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 5318.960784
Subtracting 204 from 220 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.

On to step 13:
The number 51 fits into 160 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 5318.9607843
If we subtract 153 from 160, 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.

Advancing to step 14:
70 divided by 51 is 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 5318.96078431
The remainder is 19 after subtracting 51 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Our division results in 5318.96078431 with a remaining 1.9e-08.