We're dividing 665337 by 17 
We want to figure out the number of times 665337 can be divided by 17.

On to step 1:
17 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 17

Step 2:
17 goes into 66 3 times with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 51 from 66, we get 15.
Fetch the next digit (5) from the dividend, attach it to 15 and continue: 155 / 17

Advancing to step 3:
155 divided by 17 is 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 39.0
The remainder is 2 after subtracting 153 from 155.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 17

Going ahead to step 4:
If we divide 23 by 17, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 391.0
Subtract 17 from 23 to get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 17

Going ahead to step 5:
If we divide 63 by 17, we get 3 and a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 3913.0
The remainder is 12 after subtracting 51 from 63.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 17

Let's proceed to step 6:
The number 17 fits into 127 7 times, leaving a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 39137.0
The remainder is 8 after subtracting 119 from 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
If we divide 80 by 17, we get 4 and a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 39137.4
Deduct 68 from 80 and we're left 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.

Moving on to step 8:
When dividing 120 by 17, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 39137.47
If we take 119 away from 120, we end up 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 9:
If we divide 10 by 17, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 39137.47
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
17 can be fit into 100 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 39137.4705
The remainder is 15 after subtracting 85 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
When dividing 150 by 17, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 39137.47058
If we take 136 away from 150, we end up 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.

Going ahead to step 12:
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: 39137.470588
If we subtract 136 from 140, we 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.

The final result is 39137.470588 with a remainder of 4e-07.