65531 divided by 64 
Our goal is to divide 65531 by 64.

Step 1:
6 divided by 64 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 64

Step 2:
If we divide 65 by 64, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 64 from 65, we get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 64

Step 3:
If we divide 15 by 64, we get 0 and a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 15 to get 15.
Take the next digit (3) from the dividend and append it to 15, then repeat: 153 / 64

Step 4:
If we divide 153 by 64, we get 2 and a remainder of 25.
Put 2 as the next digit of the answer. 
Result so far: 102.0
Deduct 128 from 153 and we're left with 25.
Take the next digit (1) from the dividend and append it to 25, then repeat: 251 / 64

Step 5:
If we divide 251 by 64, we get 3 and a remainder of 59.
Use 3 as the next digit of our solution. 
Result so far: 1023.0
Subtract 192 from 251 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 6:
If we divide 590 by 64, we get 9 and a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 1023.9
If we take 576 away from 590, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
The number 64 fits into 140 2 times, leaving a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 1023.92
Subtract 128 from 140 to 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 8:
The number 64 fits into 120 1 times, leaving a remainder of 56.
The number 1 becomes the next digit in our result. 
Result so far: 1023.921
If we subtract 64 from 120, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 9:
64 can be fit into 560 8 times, resulting in a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 1023.9218
Subtracting 512 from 560 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 10:
If we divide 480 by 64, we get 7 and a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 1023.92187
If we subtract 448 from 480, we 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.

Going ahead to step 11:
64 can be fit into 320 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 1023.921875
If we take 320 away from 320, 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.

Moving on to step 12:
64 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1023.921875
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.

Moving on to step 13:
If we divide 0 by 64, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1023.921875
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 1023.921875 with a balance of 0.0.