We're dividing 25425 by 95 
We're looking to find how many times 95 goes into 25425.

Step 1:
If we divide 2 by 95, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 95

Advancing to step 2:
95 can be fit into 25 0 times, resulting in a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Grab the next digit (4) from the dividend, add it to 25, then carry on: 254 / 95

Let's proceed to step 3:
95 can be fit into 254 2 times, resulting in a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 190 from 254 leaves us with 64.
Fetch the next digit (2) from the dividend, attach it to 64 and continue: 642 / 95

Step 4:
The number 95 fits into 642 6 times, leaving a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
The remainder is 72 after subtracting 570 from 642.
Append the next digit (5) from the dividend to 72 and continue with: 725 / 95

Let's proceed to step 5:
95 goes into 725 7 times with a remainder of 60.
The next digit of our result is 7. 
Result so far: 267.0
If we take 665 away from 725, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 6:
When dividing 600 by 95, we get 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 267.6
Subtract 570 from 600 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
300 divided by 95 is 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 267.63
If we take 285 away from 300, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
150 divided by 95 is 1 with a remainder of 55.
Use 1 as the next digit of our solution. 
Result so far: 267.631
Deduct 95 from 150 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 9:
The number 95 fits into 550 5 times, leaving a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 267.6315
Subtracting 475 from 550 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 10:
If we divide 750 by 95, we get 7 and a remainder of 85.
Record the quotient 7 as the next digit in the result. 
Result so far: 267.63157
If we subtract 665 from 750, we get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Step 11:
850 divided by 95 is 8 with a remainder of 90.
The number 8 becomes the next digit in our result. 
Result so far: 267.631578
The remainder is 90 after subtracting 760 from 850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 12:
If we divide 900 by 95, we get 9 and a remainder of 45.
Write down 9 as next digit of the result. 
Result so far: 267.6315789
If we take 855 away from 900, 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.

Going ahead to step 13:
The number 95 fits into 450 4 times, leaving a remainder of 70.
The number 4 becomes the next digit in our result. 
Result so far: 267.63157894
If we subtract 380 from 450, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The quotient of the division is 267.63157894, and the remainder is 7e-08.