135705 ÷ 81 
Our goal is to divide 135705 by 81.

Going ahead to step 1:
When dividing 1 by 81, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 81

Going ahead to step 2:
81 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 81

Let's proceed to step 3:
135 divided by 81 is 1 with a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 81 away from 135, we end up with 54.
Fetch the next digit (7) from the dividend, attach it to 54 and continue: 547 / 81

Going ahead to step 4:
81 can be fit into 547 6 times, resulting in a remainder of 61.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we subtract 486 from 547, we get 61.
Bring next digit (0) of the dividend behind the 61 and repeat the process: 610 / 81

Going ahead to step 5:
If we divide 610 by 81, we get 7 and a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 167.0
Deduct 567 from 610 and we're left with 43.
Fetch the next digit (5) from the dividend, attach it to 43 and continue: 435 / 81

Moving on to step 6:
When dividing 435 by 81, we get 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 1675.0
Deduct 405 from 435 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
If we divide 300 by 81, we get 3 and a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 1675.3
If we subtract 243 from 300, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 8:
When dividing 570 by 81, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 1675.37
If we subtract 567 from 570, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 9:
81 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 1675.37
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 10:
81 goes into 300 3 times with a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 1675.3703
The remainder is 57 after subtracting 243 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 11:
81 goes into 570 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 1675.37037
The remainder is 3 after subtracting 567 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 12:
If we divide 30 by 81, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 1675.37037
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
81 goes into 300 3 times with a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 1675.3703703
The remainder is 57 after subtracting 243 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 14:
When dividing 570 by 81, we get 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 1675.37037037
The remainder is 3 after subtracting 567 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 1675.37037037, and the remainder is 3e-09.