65777 divided by 16 
Our goal is to divide 65777 by 16.

Let's proceed to step 1:
When dividing 6 by 16, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 16

Moving on to step 2:
65 divided by 16 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 64 from 65 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 16

Let's proceed to step 3:
When dividing 17 by 16, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 41.0
Subtract 16 from 17 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 16

Advancing to step 4:
16 goes into 17 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 411.0
If we subtract 16 from 17, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 16

Step 5:
17 divided by 16 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 4111.0
The remainder is 1 after subtracting 16 from 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
The number 16 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 4111.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
16 goes into 100 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 4111.06
If we take 96 away from 100, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
When dividing 40 by 16, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 4111.062
Subtract 32 from 40 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 4111.0625
If we subtract 80 from 80, 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.

Moving on to step 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 4111.0625
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 11:
0 divided by 16 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 4111.0625
Subtract 0 from 0 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.

The final result is 4111.0625 with a remainder of 0.0.