We look at the division of 665325 by 38 
We want to divide 665325 by 38.

Advancing to step 1:
When dividing 6 by 38, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 38

Going ahead to step 2:
38 can be fit into 66 1 times, resulting in a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 28 after subtracting 38 from 66.
Include the next digit (5) from the dividend after 28, then repeat: 285 / 38

Advancing to step 3:
38 can be fit into 285 7 times, resulting in a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we take 266 away from 285, we end up with 19.
Grab the next digit (3) from the dividend, add it to 19, then carry on: 193 / 38

Moving on to step 4:
The number 38 fits into 193 5 times, leaving a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 175.0
If we subtract 190 from 193, we get 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 38

Let's proceed to step 5:
If we divide 32 by 38, we get 0 and a remainder of 32.
Put 0 as the next digit of the answer. 
Result so far: 1750.0
Subtract 0 from 32 to get 32.
Append the next digit (5) from the dividend to 32 and continue with: 325 / 38

On to step 6:
38 goes into 325 8 times with a remainder of 21.
Write down 8 as next digit of the result. 
Result so far: 17508.0
If we take 304 away from 325, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
38 goes into 210 5 times with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 17508.5
If we take 190 away from 210, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
If we divide 200 by 38, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 17508.55
If we take 190 away from 200, we end up 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.

The final outcome is 17508.55, with a leftover of 0.01.