We're dividing 25116 by 57 
We want to divide 25116 by 57.

On to step 1:
If we divide 2 by 57, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 57

Advancing to step 2:
When dividing 25 by 57, we get 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Include the next digit (1) from the dividend after 25, then repeat: 251 / 57

Going ahead to step 3:
57 goes into 251 4 times with a remainder of 23.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 228 from 251 leaves us with 23.
Grab the next digit (1) from the dividend, add it to 23, then carry on: 231 / 57

Step 4:
57 goes into 231 4 times with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 44.0
The remainder is 3 after subtracting 228 from 231.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 57

Let's proceed to step 5:
The number 57 fits into 36 0 times, leaving a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 440.0
Subtract 0 from 36 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 6:
The number 57 fits into 360 6 times, leaving a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 440.6
Deduct 342 from 360 and we're left 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.

Let's proceed to step 7:
57 can be fit into 180 3 times, resulting in a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 440.63
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 8:
90 divided by 57 is 1 with a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 440.631
If we take 57 away from 90, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 9:
If we divide 330 by 57, we get 5 and a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 440.6315
If we take 285 away from 330, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 10:
57 can be fit into 450 7 times, resulting in a remainder of 51.
Write down 7 as next digit of the result. 
Result so far: 440.63157
If we subtract 399 from 450, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 11:
When dividing 510 by 57, we get 8 with a remainder of 54.
Use 8 as the next digit of our solution. 
Result so far: 440.631578
If we take 456 away from 510, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 12:
540 divided by 57 is 9 with a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 440.6315789
If we subtract 513 from 540, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 13:
The number 57 fits into 270 4 times, leaving a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 440.63157894
The remainder is 42 after subtracting 228 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

In conclusion, the division gives 440.63157894 with a balance of 4.2e-08.