We look at the division of 605237 by 17 
Our goal is to divide 605237 by 17.

On to step 1:
17 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 17

Step 2:
If we divide 60 by 17, we get 3 and a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 51 from 60, we get 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 17

Advancing to step 3:
17 can be fit into 95 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Subtracting 85 from 95 leaves us with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 17

Let's proceed to step 4:
17 goes into 102 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 356.0
Subtract 102 from 102 to get 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 17

Step 5:
The number 17 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 3560.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 17

Advancing to step 6:
The number 17 fits into 37 2 times, leaving a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 35602.0
Subtract 34 from 37 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
If we divide 30 by 17, we get 1 and a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 35602.1
Subtracting 17 from 30 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 8:
17 can be fit into 130 7 times, resulting in a remainder of 11.
The next digit of our result is 7. 
Result so far: 35602.17
Subtract 119 from 130 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
17 can be fit into 110 6 times, resulting in a remainder of 8.
The next digit of our result is 6. 
Result so far: 35602.176
Subtracting 102 from 110 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
80 divided by 17 is 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 35602.1764
The remainder is 12 after subtracting 68 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
120 divided by 17 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 35602.17647
Subtract 119 from 120 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
17 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 35602.17647
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
100 divided by 17 is 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 35602.1764705
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 14:
The number 17 fits into 150 8 times, leaving a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 35602.17647058
Subtracting 136 from 150 leaves us 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.

The final outcome is 35602.17647058, with a leftover of 1.4e-08.