We're dividing 25971 by 51 
We want to figure out the number of times 25971 can be divided by 51.

On to step 1:
If we divide 2 by 51, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 51

Going ahead to step 2:
51 can be fit into 25 0 times, resulting in a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 51

Advancing to step 3:
The number 51 fits into 259 5 times, leaving a remainder of 4.
The next digit of our result is 5. 
Result so far: 5.0
If we take 255 away from 259, we end up with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 51

Going ahead to step 4:
The number 51 fits into 47 0 times, leaving a remainder of 47.
Record the quotient 0 as the next digit in the result. 
Result so far: 50.0
Deduct 0 from 47 and we're left with 47.
Append the next digit (1) from the dividend to 47 and continue with: 471 / 51

Step 5:
51 can be fit into 471 9 times, resulting in a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 509.0
If we take 459 away from 471, 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.

Going ahead to step 6:
51 can be fit into 120 2 times, resulting in a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 509.2
Subtracting 102 from 120 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 7:
When dividing 180 by 51, we get 3 with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 509.23
Deduct 153 from 180 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 8:
If we divide 270 by 51, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 509.235
Subtract 255 from 270 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
51 can be fit into 150 2 times, resulting in a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 509.2352
If we subtract 102 from 150, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 10:
480 divided by 51 is 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 509.23529
Deduct 459 from 480 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 11:
51 can be fit into 210 4 times, resulting in a remainder of 6.
The next digit of our result is 4. 
Result so far: 509.235294
Subtract 204 from 210 to 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.

Going ahead to step 12:
If we divide 60 by 51, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 509.2352941
Subtracting 51 from 60 leaves us 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.

Advancing to step 13:
If we divide 90 by 51, we get 1 and a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 509.23529411
Subtract 51 from 90 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final outcome is 509.23529411, with a leftover of 3.9e-08.