We're dividing 417957 by 17 
Our goal is to divide 417957 by 17.

On to step 1:
When dividing 4 by 17, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 17

Step 2:
17 goes into 41 2 times with a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 34 from 41 to get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 17

On to step 3:
If we divide 77 by 17, we get 4 and a remainder of 9.
The next digit of our result is 4. 
Result so far: 24.0
Subtracting 68 from 77 leaves us with 9.
Grab the next digit (9) from the dividend, add it to 9, then carry on: 99 / 17

Moving on to step 4:
If we divide 99 by 17, we get 5 and a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 245.0
Deduct 85 from 99 and we're left with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 17

Going ahead to step 5:
The number 17 fits into 145 8 times, leaving a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 2458.0
Subtracting 136 from 145 leaves us with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 17

Going ahead to step 6:
When dividing 97 by 17, we get 5 with a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 24585.0
If we take 85 away from 97, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
When dividing 120 by 17, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 24585.7
Subtracting 119 from 120 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
10 divided by 17 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 24585.7
Subtracting 0 from 10 leaves us with 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 9:
17 can be fit into 100 5 times, resulting in a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 24585.705
If we take 85 away from 100, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 10:
The number 17 fits into 150 8 times, leaving a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 24585.7058
Deduct 136 from 150 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 11:
The number 17 fits into 140 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 24585.70588
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 24585.70588 with a remaining 4e-06.