We're dividing 38960 by 6 
We want to divide 38960 by 6.

Moving on to step 1:
3 divided by 6 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 6

Let's proceed to step 2:
38 divided by 6 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 36 from 38 to get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 6

Step 3:
6 can be fit into 29 4 times, resulting in a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
Deduct 24 from 29 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 6

Going ahead to step 4:
6 can be fit into 56 9 times, resulting in a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 649.0
If we take 54 away from 56, we end up with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 6

Step 5:
When dividing 20 by 6, we get 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 6493.0
If we subtract 18 from 20, 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.

Let's proceed to step 6:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 6493.3
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 6493.33
Deduct 18 from 20 and we're left with 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 6493.33, and the remainder is 0.002.