76687 divided by 16 
We want to figure out the number of times 76687 can be divided by 16.

Let's proceed to step 1:
If we divide 7 by 16, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 16

Let's proceed to step 2:
The number 16 fits into 76 4 times, leaving a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 64 from 76 leaves us with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 16

Let's proceed to step 3:
16 can be fit into 126 7 times, resulting in a remainder of 14.
The next digit of our result is 7. 
Result so far: 47.0
If we subtract 112 from 126, we get 14.
Fetch the next digit (8) from the dividend, attach it to 14 and continue: 148 / 16

On to step 4:
148 divided by 16 is 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 479.0
If we take 144 away from 148, we end up with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 16

Going ahead to step 5:
47 divided by 16 is 2 with a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 4792.0
Subtract 32 from 47 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 6:
If we divide 150 by 16, we get 9 and a remainder of 6.
The next digit of our result is 9. 
Result so far: 4792.9
If we subtract 144 from 150, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
16 can be fit into 60 3 times, resulting in a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 4792.93
If we take 48 away from 60, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 4792.937
If we take 112 away from 120, we end up 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.

Going ahead to step 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 4792.9375
Subtract 80 from 80 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
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: 4792.9375
If we subtract 0 from 0, we get 0.
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 11:
16 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4792.9375
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.

In conclusion, the division gives 4792.9375 with a balance of 0.0.