6401 divided by 38 
Our goal is to divide 6401 by 38.

Advancing to step 1:
The number 38 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 38

On to step 2:
The number 38 fits into 64 1 times, leaving a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 38 from 64, we get 26.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 38

On to step 3:
38 goes into 260 6 times with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we subtract 228 from 260, we get 32.
Include the next digit (1) from the dividend after 32, then repeat: 321 / 38

Step 4:
When dividing 321 by 38, we get 8 with a remainder of 17.
The next digit of our result is 8. 
Result so far: 168.0
The remainder is 17 after subtracting 304 from 321.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 5:
38 goes into 170 4 times with a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 168.4
If we take 152 away from 170, 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.

Let's proceed to step 6:
38 goes into 180 4 times with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 168.44
If we take 152 away from 180, we end up 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.

Our division results in 168.44 with a remaining 0.028.