We look at the division of 76908 by 16 
We're looking to find how many times 16 goes into 76908.

Moving on to step 1:
16 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 16

Moving on to step 2:
The number 16 fits into 76 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 64 from 76, we get 12.
Include the next digit (9) from the dividend after 12, then repeat: 129 / 16

On to step 3:
16 can be fit into 129 8 times, resulting in a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 48.0
If we take 128 away from 129, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 16

Going ahead to step 4:
16 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 480.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 16

Going ahead to step 5:
16 goes into 108 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 4806.0
If we subtract 96 from 108, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 6:
16 goes into 120 7 times with a remainder of 8.
The next digit of our result is 7. 
Result so far: 4806.7
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
When dividing 80 by 16, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 4806.75
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4806.75
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
If we divide 0 by 16, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4806.75
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 4806.75 with a balance of 0.0.