We're dividing 895963 by 25 
We're looking to find how many times 25 goes into 895963.

Moving on to step 1:
When dividing 8 by 25, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 25

Let's proceed to step 2:
If we divide 89 by 25, we get 3 and a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 75 from 89 and we're left with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 25

Let's proceed to step 3:
The number 25 fits into 145 5 times, leaving a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Deduct 125 from 145 and we're left with 20.
Take the next digit (9) from the dividend and append it to 20, then repeat: 209 / 25

Step 4:
25 can be fit into 209 8 times, resulting in a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 358.0
Subtract 200 from 209 to get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 25

Step 5:
25 can be fit into 96 3 times, resulting in a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 3583.0
Subtracting 75 from 96 leaves us with 21.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 25

Going ahead to step 6:
25 can be fit into 213 8 times, resulting in a remainder of 13.
The next digit of our result is 8. 
Result so far: 35838.0
Deduct 200 from 213 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
130 divided by 25 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 35838.5
Subtracting 125 from 130 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
When dividing 50 by 25, we get 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 35838.52
If we subtract 50 from 50, 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.

Let's proceed to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 35838.52
If we take 0 away from 0, we end up 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.

Advancing to step 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 35838.52
Subtracting 0 from 0 leaves us 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.

The final result is 35838.52 with a remainder of 0.0.