We're dividing 83978 by 6 
We're looking to find how many times 6 goes into 83978.

Let's proceed to step 1:
8 divided by 6 is 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 6 from 8 and we're left with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 6

On to step 2:
6 goes into 23 3 times with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtract 18 from 23 to get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 6

Going ahead to step 3:
If we divide 59 by 6, we get 9 and a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 139.0
Subtracting 54 from 59 leaves us with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 6

Advancing to step 4:
The number 6 fits into 57 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 1399.0
If we subtract 54 from 57, we get 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 6

Advancing to step 5:
6 can be fit into 38 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 13996.0
If we take 36 away from 38, 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.

Advancing to step 6:
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: 13996.3
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.

Going ahead to step 7:
6 can be fit into 20 3 times, resulting in a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 13996.33
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.

In conclusion, the division gives 13996.33 with a balance of 0.002.