We're dividing 842417 by 25 
Our goal is to divide 842417 by 25.

Let's proceed to step 1:
25 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 25

Going ahead to step 2:
25 can be fit into 84 3 times, resulting in a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 75 away from 84, we end up with 9.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 25

On to step 3:
25 goes into 92 3 times with a remainder of 17.
The next digit of our result is 3. 
Result so far: 33.0
Subtract 75 from 92 to get 17.
Include the next digit (4) from the dividend after 17, then repeat: 174 / 25

Let's proceed to step 4:
If we divide 174 by 25, we get 6 and a remainder of 24.
The next digit of our result is 6. 
Result so far: 336.0
Subtract 150 from 174 to get 24.
Append the next digit (1) from the dividend to 24 and continue with: 241 / 25

Let's proceed to step 5:
If we divide 241 by 25, we get 9 and a remainder of 16.
Use 9 as the next digit of our solution. 
Result so far: 3369.0
Deduct 225 from 241 and we're left with 16.
Grab the next digit (7) from the dividend, add it to 16, then carry on: 167 / 25

Going ahead to step 6:
25 can be fit into 167 6 times, resulting in a remainder of 17.
Use 6 as the next digit of our solution. 
Result so far: 33696.0
Deduct 150 from 167 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
If we divide 170 by 25, we get 6 and a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 33696.6
The remainder is 20 after subtracting 150 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
25 goes into 200 8 times with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 33696.68
If we take 200 away from 200, 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 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: 33696.68
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:
25 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 33696.68
Subtracting 0 from 0 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.

The final result is 33696.68 with a remainder of 0.0.