We're dividing 819671 by 25 
We want to figure out the number of times 819671 can be divided by 25.

Going ahead 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
Subtract 0 from 8 to get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 25

On to step 2:
When dividing 81 by 25, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 6 after subtracting 75 from 81.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 25

On to step 3:
If we divide 69 by 25, we get 2 and a remainder of 19.
Use 2 as the next digit of our solution. 
Result so far: 32.0
If we subtract 50 from 69, we get 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 25

On to step 4:
The number 25 fits into 196 7 times, leaving a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 327.0
The remainder is 21 after subtracting 175 from 196.
Fetch the next digit (7) from the dividend, attach it to 21 and continue: 217 / 25

Let's proceed to step 5:
If we divide 217 by 25, we get 8 and a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 3278.0
Deduct 200 from 217 and we're left with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 25

Step 6:
When dividing 171 by 25, we get 6 with a remainder of 21.
Use 6 as the next digit of our solution. 
Result so far: 32786.0
The remainder is 21 after subtracting 150 from 171.
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:
210 divided by 25 is 8 with a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 32786.8
If we subtract 200 from 210, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
25 can be fit into 100 4 times, resulting in a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 32786.84
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.

Going ahead to step 9:
25 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 32786.84
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.

Going ahead to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 32786.84
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.

Our division results in 32786.84 with a remaining 0.0.