We divide 135597 by 66
Our goal is to divide 135597 by 66.

Let's proceed to step 1:
66 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 66

Moving on to step 2:
13 divided by 66 is 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Fetch the next digit (5) from the dividend, attach it to 13 and continue: 135 / 66

Advancing to step 3:
66 can be fit into 135 2 times, resulting in a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 3 after subtracting 132 from 135.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 66

Step 4:
66 can be fit into 35 0 times, resulting in a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 20.0
If we subtract 0 from 35, we get 35.
Take the next digit (9) from the dividend and append it to 35, then repeat: 359 / 66

Let's proceed to step 5:
When dividing 359 by 66, we get 5 with a remainder of 29.
Use 5 as the next digit of our solution. 
Result so far: 205.0
Deduct 330 from 359 and we're left with 29.
Include the next digit (7) from the dividend after 29, then repeat: 297 / 66

Let's proceed to step 6:
The number 66 fits into 297 4 times, leaving a remainder of 33.
Record the quotient 4 as the next digit in the result. 
Result so far: 2054.0
Deduct 264 from 297 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
66 goes into 330 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 2054.5
Deduct 330 from 330 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.

Moving on to step 8:
66 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 2054.5
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.

Moving on to step 9:
66 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 2054.5
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.

The quotient of the division is 2054.5, and the remainder is 0.0.