25374 ÷ 97 
We're looking to find how many times 97 goes into 25374.

Step 1:
2 divided by 97 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 97

Let's proceed to step 2:
97 goes into 25 0 times with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Bring next digit (3) of the dividend behind the 25 and repeat the process: 253 / 97

On to step 3:
253 divided by 97 is 2 with a remainder of 59.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 59 after subtracting 194 from 253.
Append the next digit (7) from the dividend to 59 and continue with: 597 / 97

Step 4:
97 goes into 597 6 times with a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 26.0
The remainder is 15 after subtracting 582 from 597.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 97

Let's proceed to step 5:
97 goes into 154 1 times with a remainder of 57.
The next digit of our result is 1. 
Result so far: 261.0
The remainder is 57 after subtracting 97 from 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 6:
97 can be fit into 570 5 times, resulting in a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 261.5
If we take 485 away from 570, we end up with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Going ahead to step 7:
The number 97 fits into 850 8 times, leaving a remainder of 74.
The next digit of our result is 8. 
Result so far: 261.58
Deduct 776 from 850 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 8:
When dividing 740 by 97, we get 7 with a remainder of 61.
The next digit of our result is 7. 
Result so far: 261.587
If we take 679 away from 740, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 9:
The number 97 fits into 610 6 times, leaving a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 261.5876
Subtracting 582 from 610 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
280 divided by 97 is 2 with a remainder of 86.
The next digit of our result is 2. 
Result so far: 261.58762
If we take 194 away from 280, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

On to step 11:
97 goes into 860 8 times with a remainder of 84.
Write down 8 as next digit of the result. 
Result so far: 261.587628
If we subtract 776 from 860, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 12:
840 divided by 97 is 8 with a remainder of 64.
Record the quotient 8 as the next digit in the result. 
Result so far: 261.5876288
Deduct 776 from 840 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

After the division, we end up with 261.5876288 and a remainder of 6.4e-07.