Let's divide 65535 by 64
Our goal is to divide 65535 by 64.

Going ahead to step 1:
If we divide 6 by 64, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 64

Step 2:
The number 64 fits into 65 1 times, leaving a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 64 from 65 to get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 64

Let's proceed to step 3:
64 can be fit into 15 0 times, resulting in a remainder of 15.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 15, we get 15.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 64

Advancing to step 4:
When dividing 153 by 64, we get 2 with a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 102.0
If we take 128 away from 153, we end up with 25.
Include the next digit (5) from the dividend after 25, then repeat: 255 / 64

On to step 5:
The number 64 fits into 255 3 times, leaving a remainder of 63.
Put 3 as the next digit of the answer. 
Result so far: 1023.0
Subtract 192 from 255 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 6:
When dividing 630 by 64, we get 9 with a remainder of 54.
The number 9 becomes the next digit in our result. 
Result so far: 1023.9
The remainder is 54 after subtracting 576 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 7:
64 can be fit into 540 8 times, resulting in a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 1023.98
If we subtract 512 from 540, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
280 divided by 64 is 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 1023.984
The remainder is 24 after subtracting 256 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
When dividing 240 by 64, we get 3 with a remainder of 48.
The next digit of our result is 3. 
Result so far: 1023.9843
The remainder is 48 after subtracting 192 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 10:
When dividing 480 by 64, we get 7 with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 1023.98437
Subtract 448 from 480 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
64 can be fit into 320 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 1023.984375
Deduct 320 from 320 and we're left 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 12:
When dividing 0 by 64, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 1023.984375
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.

Going ahead to step 13:
0 divided by 64 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 1023.984375
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.

In conclusion, the division gives 1023.984375 with a balance of 0.0.