We look at the division of 25677 by 50 
Our goal is to divide 25677 by 50.

On to step 1:
50 goes into 2 0 times with 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 (5) from the dividend and append it to 2, then repeat: 25 / 50

On to step 2:
50 goes into 25 0 times with 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 (6) from the dividend to 25 and continue with: 256 / 50

Going ahead to step 3:
When dividing 256 by 50, we get 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 250 from 256 and we're left with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 50

Advancing to step 4:
If we divide 67 by 50, we get 1 and a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 51.0
The remainder is 17 after subtracting 50 from 67.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 50

Going ahead to step 5:
The number 50 fits into 177 3 times, leaving a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 513.0
Deduct 150 from 177 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.

Going ahead to step 6:
50 goes into 270 5 times with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 513.5
Subtracting 250 from 270 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
If we divide 200 by 50, we get 4 and a remainder of 0.
The next digit of our result is 4. 
Result so far: 513.54
If we subtract 200 from 200, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
If we divide 0 by 50, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 513.54
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
When dividing 0 by 50, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 513.54
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 513.54 with a balance of 0.0.