We look at the division of 665637 by 38 
We want to divide 665637 by 38.

On to step 1:
If we divide 6 by 38, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 38

Moving on to step 2:
When dividing 66 by 38, we get 1 with a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 38 away from 66, we end up with 28.
Grab the next digit (5) from the dividend, add it to 28, then carry on: 285 / 38

On to step 3:
When dividing 285 by 38, we get 7 with 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.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 38

Let's proceed to step 4:
When dividing 196 by 38, we get 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 175.0
Deduct 190 from 196 and we're left with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 38

Let's proceed to step 5:
The number 38 fits into 63 1 times, leaving a remainder of 25.
The next digit of our result is 1. 
Result so far: 1751.0
Deduct 38 from 63 and we're left with 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 38

Moving on to step 6:
If we divide 257 by 38, we get 6 and a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 17516.0
Subtracting 228 from 257 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
If we divide 290 by 38, we get 7 and a remainder of 24.
Write down 7 as next digit of the result. 
Result so far: 17516.7
Subtracting 266 from 290 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
240 divided by 38 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 17516.76
Deduct 228 from 240 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.

On to step 9:
38 can be fit into 120 3 times, resulting in a remainder of 6.
The next digit of our result is 3. 
Result so far: 17516.763
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
When dividing 60 by 38, we get 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 17516.7631
Deduct 38 from 60 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 11:
The number 38 fits into 220 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 17516.76315
If we subtract 190 from 220, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
38 goes into 300 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 17516.763157
Deduct 266 from 300 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 13:
If we divide 340 by 38, we get 8 and a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 17516.7631578
If we take 304 away from 340, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 14:
38 can be fit into 360 9 times, resulting in a remainder of 18.
The next digit of our result is 9. 
Result so far: 17516.76315789
If we take 342 away from 360, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 17516.76315789 with a remainder of 1.8e-08.