We divide 261563 by 81
Our goal is to divide 261563 by 81.

On to step 1:
If we divide 2 by 81, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 81

Let's proceed to step 2:
26 divided by 81 is 0 with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Append the next digit (1) from the dividend to 26 and continue with: 261 / 81

Moving on to step 3:
261 divided by 81 is 3 with a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 243 away from 261, we end up with 18.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 81

Step 4:
When dividing 185 by 81, we get 2 with a remainder of 23.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
Deduct 162 from 185 and we're left with 23.
Append the next digit (6) from the dividend to 23 and continue with: 236 / 81

On to step 5:
When dividing 236 by 81, we get 2 with a remainder of 74.
Put 2 as the next digit of the answer. 
Result so far: 322.0
If we subtract 162 from 236, we get 74.
Bring next digit (3) of the dividend behind the 74 and repeat the process: 743 / 81

Let's proceed to step 6:
When dividing 743 by 81, we get 9 with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 3229.0
If we take 729 away from 743, 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.

Let's proceed to step 7:
140 divided by 81 is 1 with a remainder of 59.
Write down 1 as next digit of the result. 
Result so far: 3229.1
Deduct 81 from 140 and we're left with 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 8:
The number 81 fits into 590 7 times, leaving a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 3229.17
If we subtract 567 from 590, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 9:
If we divide 230 by 81, we get 2 and a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 3229.172
If we take 162 away from 230, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 10:
81 can be fit into 680 8 times, resulting in a remainder of 32.
The next digit of our result is 8. 
Result so far: 3229.1728
The remainder is 32 after subtracting 648 from 680.
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:
When dividing 320 by 81, we get 3 with a remainder of 77.
The next digit of our result is 3. 
Result so far: 3229.17283
The remainder is 77 after subtracting 243 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 12:
770 divided by 81 is 9 with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 3229.172839
Deduct 729 from 770 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 13:
81 can be fit into 410 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 3229.1728395
Subtracting 405 from 410 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
If we divide 50 by 81, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 3229.1728395
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 3229.1728395 with a balance of 5e-08.