We look at the division of 674081 by 38 
Our goal is to divide 674081 by 38.

On to step 1:
38 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 38

Moving on to step 2:
38 can be fit into 67 1 times, resulting in a remainder of 29.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 38 from 67 and we're left with 29.
Bring next digit (4) of the dividend behind the 29 and repeat the process: 294 / 38

Moving on to step 3:
When dividing 294 by 38, we get 7 with a remainder of 28.
The next digit of our result is 7. 
Result so far: 17.0
Subtracting 266 from 294 leaves us with 28.
Fetch the next digit (0) from the dividend, attach it to 28 and continue: 280 / 38

Advancing to step 4:
280 divided by 38 is 7 with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 177.0
Deduct 266 from 280 and we're left with 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 38

On to step 5:
If we divide 148 by 38, we get 3 and a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 1773.0
If we subtract 114 from 148, we get 34.
Grab the next digit (1) from the dividend, add it to 34, then carry on: 341 / 38

Advancing to step 6:
341 divided by 38 is 8 with a remainder of 37.
Write down 8 as next digit of the result. 
Result so far: 17738.0
The remainder is 37 after subtracting 304 from 341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
370 divided by 38 is 9 with a remainder of 28.
Use 9 as the next digit of our solution. 
Result so far: 17738.9
If we subtract 342 from 370, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
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: 17738.97
Subtracting 266 from 280 leaves us 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.

Let's proceed to step 9:
When dividing 140 by 38, we get 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 17738.973
Deduct 114 from 140 and we're left with 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 10:
38 can be fit into 260 6 times, resulting in a remainder of 32.
The next digit of our result is 6. 
Result so far: 17738.9736
The remainder is 32 after subtracting 228 from 260.
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 11:
320 divided by 38 is 8 with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 17738.97368
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.

Step 12:
38 can be fit into 160 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 17738.973684
If we take 152 away from 160, we end up 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.

Going ahead to step 13:
If we divide 80 by 38, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 17738.9736842
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.

Advancing to step 14:
38 goes into 40 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 17738.97368421
Subtract 38 from 40 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.

The quotient of the division is 17738.97368421, and the remainder is 2e-09.