956565 ÷ 81 
We want to divide 956565 by 81.

Advancing to step 1:
When dividing 9 by 81, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 81

Going ahead to step 2:
81 goes into 95 1 times with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 81 from 95 leaves us with 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 81

Advancing to step 3:
If we divide 146 by 81, we get 1 and a remainder of 65.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Deduct 81 from 146 and we're left with 65.
Include the next digit (5) from the dividend after 65, then repeat: 655 / 81

Let's proceed to step 4:
When dividing 655 by 81, we get 8 with a remainder of 7.
The next digit of our result is 8. 
Result so far: 118.0
Deduct 648 from 655 and we're left with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 81

Step 5:
81 can be fit into 76 0 times, resulting in a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 1180.0
Subtract 0 from 76 to get 76.
Include the next digit (5) from the dividend after 76, then repeat: 765 / 81

Let's proceed to step 6:
81 goes into 765 9 times with a remainder of 36.
Put 9 as the next digit of the answer. 
Result so far: 11809.0
Deduct 729 from 765 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 7:
81 goes into 360 4 times with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 11809.4
Deduct 324 from 360 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 8:
360 divided by 81 is 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 11809.44
Subtract 324 from 360 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final outcome is 11809.44, with a leftover of 0.036.