We're dividing 869596 by 25 
We're looking to find how many times 25 goes into 869596.

Moving on to step 1:
25 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 25

On to step 2:
The number 25 fits into 86 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 75 from 86 to get 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 25

Going ahead to step 3:
The number 25 fits into 119 4 times, leaving a remainder of 19.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
If we subtract 100 from 119, we get 19.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 25

On to step 4:
If we divide 195 by 25, we get 7 and a remainder of 20.
Record the quotient 7 as the next digit in the result. 
Result so far: 347.0
The remainder is 20 after subtracting 175 from 195.
Include the next digit (9) from the dividend after 20, then repeat: 209 / 25

Advancing to step 5:
The number 25 fits into 209 8 times, leaving a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 3478.0
If we take 200 away from 209, we end up with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 25

Moving on to step 6:
25 can be fit into 96 3 times, resulting in a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 34783.0
If we subtract 75 from 96, 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:
25 goes into 210 8 times with a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 34783.8
Subtract 200 from 210 to 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.

On to step 8:
If we divide 100 by 25, we get 4 and a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 34783.84
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.

On to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 34783.84
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.

Advancing 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: 34783.84
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.

The quotient of the division is 34783.84, and the remainder is 0.0.