665788 ÷ 38 
Our goal is to divide 665788 by 38.

Let's proceed to step 1:
38 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 38

On to step 2:
38 can be fit into 66 1 times, resulting in a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 38 from 66, we get 28.
Append the next digit (5) from the dividend to 28 and continue with: 285 / 38

On to step 3:
38 goes into 285 7 times with a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Deduct 266 from 285 and we're left with 19.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 38

Let's proceed to step 4:
If we divide 197 by 38, we get 5 and a remainder of 7.
The next digit of our result is 5. 
Result so far: 175.0
If we take 190 away from 197, we end up with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 38

Let's proceed to step 5:
78 divided by 38 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 1752.0
If we take 76 away from 78, we end up with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 38

Going ahead to step 6:
When dividing 28 by 38, we get 0 with a remainder of 28.
The next digit of our result is 0. 
Result so far: 17520.0
Deduct 0 from 28 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
If we divide 280 by 38, we get 7 and a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 17520.7
Deduct 266 from 280 and we're left 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.

Step 8:
140 divided by 38 is 3 with a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 17520.73
If we subtract 114 from 140, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 9:
If we divide 260 by 38, we get 6 and a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 17520.736
Subtracting 228 from 260 leaves us 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.

Going ahead to step 10:
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: 17520.7368
Subtract 304 from 320 to get 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 11:
When dividing 160 by 38, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 17520.73684
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.

Step 12:
The number 38 fits into 80 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 17520.736842
If we take 76 away from 80, we end up 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.

Going ahead to step 13:
When dividing 40 by 38, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 17520.7368421
If we subtract 38 from 40, we 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 14:
The number 38 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 17520.7368421
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 17520.7368421 with a remaining 2e-08.