779221 ÷ 25 
Our goal is to divide 779221 by 25.

Let's proceed to step 1:
25 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 25

Advancing to step 2:
77 divided by 25 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 75 from 77 and we're left with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 25

Moving on to step 3:
The number 25 fits into 29 1 times, leaving a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 31.0
The remainder is 4 after subtracting 25 from 29.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 25

On to step 4:
25 can be fit into 42 1 times, resulting in a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 311.0
If we take 25 away from 42, we end up with 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 25

On to step 5:
25 can be fit into 172 6 times, resulting in a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 3116.0
If we take 150 away from 172, we end up with 22.
Grab the next digit (1) from the dividend, add it to 22, then carry on: 221 / 25

On to step 6:
The number 25 fits into 221 8 times, leaving a remainder of 21.
The next digit of our result is 8. 
Result so far: 31168.0
If we subtract 200 from 221, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
The number 25 fits into 210 8 times, leaving a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 31168.8
The remainder is 10 after subtracting 200 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
When dividing 100 by 25, we get 4 with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 31168.84
Subtracting 100 from 100 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.

Advancing to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 31168.84
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:
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: 31168.84
Subtract 0 from 0 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.

After the division, we end up with 31168.84 and a remainder of 0.0.