We look at the division of 664741 by 38 
Our goal is to divide 664741 by 38.

Advancing to step 1:
6 divided by 38 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 38

Going ahead to step 2:
The number 38 fits into 66 1 times, leaving a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 28 after subtracting 38 from 66.
Append the next digit (4) from the dividend to 28 and continue with: 284 / 38

Let's proceed to step 3:
When dividing 284 by 38, we get 7 with a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
If we take 266 away from 284, we end up with 18.
Take the next digit (7) from the dividend and append it to 18, then repeat: 187 / 38

On to step 4:
38 goes into 187 4 times with a remainder of 35.
Record the quotient 4 as the next digit in the result. 
Result so far: 174.0
Subtracting 152 from 187 leaves us with 35.
Include the next digit (4) from the dividend after 35, then repeat: 354 / 38

On to step 5:
38 can be fit into 354 9 times, resulting in a remainder of 12.
The next digit of our result is 9. 
Result so far: 1749.0
Subtracting 342 from 354 leaves us with 12.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 38

On to step 6:
38 goes into 121 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 17493.0
Subtracting 114 from 121 leaves us 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 7:
38 goes into 70 1 times with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 17493.1
Deduct 38 from 70 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
If we divide 320 by 38, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 17493.18
The remainder is 16 after subtracting 304 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
160 divided by 38 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 17493.184
Subtracting 152 from 160 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.

Advancing to step 10:
If we divide 80 by 38, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 17493.1842
Subtracting 76 from 80 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
If we divide 40 by 38, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 17493.18421
The remainder is 2 after subtracting 38 from 40.
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 12:
When dividing 20 by 38, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 17493.18421
Subtracting 0 from 20 leaves us 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 13:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 17493.1842105
Subtract 190 from 200 to 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.

Going ahead to step 14:
The number 38 fits into 100 2 times, leaving a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 17493.18421052
The remainder is 24 after subtracting 76 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 17493.18421052 and a remainder of 2.4e-08.