25902 ÷ 96 
Our goal is to divide 25902 by 96.

Step 1:
96 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 96

Going ahead to step 2:
96 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.
Take the next digit (9) from the dividend and append it to 25, then repeat: 259 / 96

On to step 3:
96 can be fit into 259 2 times, resulting in a remainder of 67.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 192 from 259 to get 67.
Include the next digit (0) from the dividend after 67, then repeat: 670 / 96

Moving on to step 4:
96 can be fit into 670 6 times, resulting in a remainder of 94.
Put 6 as the next digit of the answer. 
Result so far: 26.0
The remainder is 94 after subtracting 576 from 670.
Grab the next digit (2) from the dividend, add it to 94, then carry on: 942 / 96

Advancing to step 5:
942 divided by 96 is 9 with a remainder of 78.
Record the quotient 9 as the next digit in the result. 
Result so far: 269.0
The remainder is 78 after subtracting 864 from 942.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 6:
When dividing 780 by 96, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 269.8
Deduct 768 from 780 and we're left 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.

Step 7:
If we divide 120 by 96, we get 1 and a remainder of 24.
The next digit of our result is 1. 
Result so far: 269.81
If we take 96 away from 120, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
When dividing 240 by 96, we get 2 with a remainder of 48.
The next digit of our result is 2. 
Result so far: 269.812
Subtract 192 from 240 to 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.

Step 9:
If we divide 480 by 96, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 269.8125
The remainder is 0 after subtracting 480 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
If we divide 0 by 96, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 269.8125
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.

Step 11:
96 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 269.8125
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.

In conclusion, the division gives 269.8125 with a balance of 0.0.