Let's divide 105781 by 25
We want to divide 105781 by 25.

Moving on to step 1:
25 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 25

Step 2:
25 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 25

Advancing to step 3:
When dividing 105 by 25, we get 4 with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 100 from 105 leaves us with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 25

Let's proceed to step 4:
25 goes into 57 2 times with a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Subtracting 50 from 57 leaves us with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 25

Step 5:
If we divide 78 by 25, we get 3 and a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 423.0
Subtract 75 from 78 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 25

Step 6:
The number 25 fits into 31 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 4231.0
If we take 25 away from 31, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
25 goes into 60 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 4231.2
The remainder is 10 after subtracting 50 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
25 can be fit into 100 4 times, resulting in a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 4231.24
Deduct 100 from 100 and we're left 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.

Let's proceed to step 9:
0 divided by 25 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4231.24
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.

On to step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 4231.24
Deduct 0 from 0 and we're left 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.

After the division, we end up with 4231.24 and a remainder of 0.0.