We're dividing 41963 by 25 
Let's see how many times 25 fits into 41963.

Moving on to step 1:
25 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 25

Let's proceed to step 2:
41 divided by 25 is 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 25 from 41, we get 16.
Bring next digit (9) of the dividend behind the 16 and repeat the process: 169 / 25

Advancing to step 3:
25 goes into 169 6 times with a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtract 150 from 169 to get 19.
Append the next digit (6) from the dividend to 19 and continue with: 196 / 25

Advancing to step 4:
25 can be fit into 196 7 times, resulting in a remainder of 21.
The next digit of our result is 7. 
Result so far: 167.0
If we subtract 175 from 196, we get 21.
Include the next digit (3) from the dividend after 21, then repeat: 213 / 25

Going ahead to step 5:
25 goes into 213 8 times with a remainder of 13.
The next digit of our result is 8. 
Result so far: 1678.0
If we subtract 200 from 213, we get 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 6:
When dividing 130 by 25, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 1678.5
Deduct 125 from 130 and we're left 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.

Going ahead to step 7:
If we divide 50 by 25, we get 2 and a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 1678.52
Subtract 50 from 50 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.

Advancing to step 8:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1678.52
If we subtract 0 from 0, 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.

Step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1678.52
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 1678.52 with a remaining 0.0.