We're dividing 665577 by 17 
We want to divide 665577 by 17.

Moving on to step 1:
The number 17 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 17

Step 2:
17 goes into 66 3 times with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 51 away from 66, we end up with 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 17

On to step 3:
155 divided by 17 is 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 39.0
Deduct 153 from 155 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 17

Step 4:
17 can be fit into 25 1 times, resulting in a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 391.0
If we subtract 17 from 25, we get 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 17

Advancing to step 5:
87 divided by 17 is 5 with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 3915.0
The remainder is 2 after subtracting 85 from 87.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 17

On to step 6:
17 can be fit into 27 1 times, resulting in a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 39151.0
Deduct 17 from 27 and we're left 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.

Step 7:
When dividing 100 by 17, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 39151.5
Deduct 85 from 100 and we're left 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.

Going ahead to step 8:
If we divide 150 by 17, we get 8 and a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 39151.58
If we subtract 136 from 150, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
If we divide 140 by 17, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 39151.588
Subtracting 136 from 140 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 39151.588, with a leftover of 0.0004.