We look at the division of 840665 by 25 
Let's see how many times 25 fits into 840665.

Advancing to step 1:
8 divided by 25 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 25

Moving on to step 2:
If we divide 84 by 25, we get 3 and a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 75 from 84 and we're left with 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 25

Let's proceed to step 3:
25 goes into 90 3 times with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Deduct 75 from 90 and we're left with 15.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 25

Advancing to step 4:
If we divide 156 by 25, we get 6 and a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 336.0
If we take 150 away from 156, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 25

On to step 5:
66 divided by 25 is 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 3362.0
The remainder is 16 after subtracting 50 from 66.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 25

Advancing to step 6:
If we divide 165 by 25, we get 6 and a remainder of 15.
The number 6 becomes the next digit in our result. 
Result so far: 33626.0
The remainder is 15 after subtracting 150 from 165.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
25 goes into 150 6 times with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 33626.6
If we take 150 away from 150, 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 8:
25 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 33626.6
If we subtract 0 from 0, 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:
25 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 33626.6
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.

Our division results in 33626.6 with a remaining 0.0.