We're dividing 782041 by 25 
Our goal is to divide 782041 by 25.

Advancing to step 1:
The number 25 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 25

Advancing to step 2:
25 goes into 78 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 75 from 78 and we're left with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 25

Advancing to step 3:
25 goes into 32 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 31.0
Deduct 25 from 32 and we're left with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 25

Advancing to step 4:
When dividing 70 by 25, we get 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 312.0
The remainder is 20 after subtracting 50 from 70.
Include the next digit (4) from the dividend after 20, then repeat: 204 / 25

Step 5:
If we divide 204 by 25, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 3128.0
Subtracting 200 from 204 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 25

Step 6:
If we divide 41 by 25, we get 1 and a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 31281.0
If we take 25 away from 41, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
If we divide 160 by 25, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 31281.6
If we take 150 away from 160, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
25 goes into 100 4 times with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 31281.64
If we subtract 100 from 100, 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:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 31281.64
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.

Moving on to step 10:
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: 31281.64
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.

After the division, we end up with 31281.64 and a remainder of 0.0.