We're dividing 645319 by 17 
We're looking to find how many times 17 goes into 645319.

Going ahead 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
If we take 0 away from 6, we end up with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 17

Step 2:
If we divide 64 by 17, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 51 from 64, we get 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 17

On to step 3:
When dividing 135 by 17, we get 7 with a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 37.0
The remainder is 16 after subtracting 119 from 135.
Append the next digit (3) from the dividend to 16 and continue with: 163 / 17

Going ahead to step 4:
163 divided by 17 is 9 with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 379.0
If we take 153 away from 163, we end up with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 17

Step 5:
If we divide 101 by 17, we get 5 and a remainder of 16.
The number 5 becomes the next digit in our result. 
Result so far: 3795.0
If we take 85 away from 101, we end up with 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 17

Let's proceed to step 6:
169 divided by 17 is 9 with a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 37959.0
Subtracting 153 from 169 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
17 goes into 160 9 times with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 37959.9
If we take 153 away from 160, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
17 goes into 70 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 37959.94
Subtract 68 from 70 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
17 goes into 20 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 37959.941
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
When dividing 30 by 17, we get 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 37959.9411
Deduct 17 from 30 and we're left 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.

The final outcome is 37959.9411, with a leftover of 0.00013.