25422 ÷ 97 
Our goal is to divide 25422 by 97.

Going ahead to step 1:
When dividing 2 by 97, we get 0 with 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.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 97

Moving on to step 2:
If we divide 25 by 97, we get 0 and a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Include the next digit (4) from the dividend after 25, then repeat: 254 / 97

Going ahead to step 3:
97 can be fit into 254 2 times, resulting in a remainder of 60.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 60 after subtracting 194 from 254.
Fetch the next digit (2) from the dividend, attach it to 60 and continue: 602 / 97

Going ahead to step 4:
97 goes into 602 6 times with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
If we take 582 away from 602, we end up with 20.
Fetch the next digit (2) from the dividend, attach it to 20 and continue: 202 / 97

Let's proceed to step 5:
When dividing 202 by 97, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 262.0
If we take 194 away from 202, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 6:
When dividing 80 by 97, we get 0 with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 262.0
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 7:
The number 97 fits into 800 8 times, leaving a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 262.08
If we take 776 away from 800, 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:
97 can be fit into 240 2 times, resulting in a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 262.082
The remainder is 46 after subtracting 194 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 9:
97 goes into 460 4 times with a remainder of 72.
The next digit of our result is 4. 
Result so far: 262.0824
If we subtract 388 from 460, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 10:
720 divided by 97 is 7 with a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 262.08247
If we subtract 679 from 720, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 11:
If we divide 410 by 97, we get 4 and a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 262.082474
If we subtract 388 from 410, 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.

Step 12:
The number 97 fits into 220 2 times, leaving a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 262.0824742
The remainder is 26 after subtracting 194 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 13:
The number 97 fits into 260 2 times, leaving a remainder of 66.
Put 2 as the next digit of the answer. 
Result so far: 262.08247422
Deduct 194 from 260 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

In conclusion, the division gives 262.08247422 with a balance of 6.6e-08.