77688 ÷ 16 
We want to figure out the number of times 77688 can be divided by 16.

On to step 1:
If we divide 7 by 16, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 16

Going ahead to step 2:
When dividing 77 by 16, we get 4 with a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 13 after subtracting 64 from 77.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 16

On to step 3:
The number 16 fits into 136 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 48.0
If we subtract 128 from 136, we get 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 16

Moving on to step 4:
16 can be fit into 88 5 times, resulting in a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 485.0
If we subtract 80 from 88, we get 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 16

On to step 5:
The number 16 fits into 88 5 times, leaving a remainder of 8.
Record the quotient 5 as the next digit in the result. 
Result so far: 4855.0
Deduct 80 from 88 and we're left 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.

Moving on to step 6:
16 goes into 80 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 4855.5
If we take 80 away from 80, 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 7:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4855.5
Subtracting 0 from 0 leaves us 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.

Moving on to step 8:
16 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4855.5
Subtracting 0 from 0 leaves us 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.

The final outcome is 4855.5, with a leftover of 0.0.