961275 ÷ 81 
Our goal is to divide 961275 by 81.

Let's proceed to step 1:
9 divided by 81 is 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 81

Step 2:
When dividing 96 by 81, we get 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 81 from 96 to get 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 81

Advancing to step 3:
When dividing 151 by 81, we get 1 with a remainder of 70.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 81 from 151 and we're left with 70.
Take the next digit (2) from the dividend and append it to 70, then repeat: 702 / 81

Advancing to step 4:
If we divide 702 by 81, we get 8 and a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 118.0
Deduct 648 from 702 and we're left with 54.
Fetch the next digit (7) from the dividend, attach it to 54 and continue: 547 / 81

On to step 5:
The number 81 fits into 547 6 times, leaving a remainder of 61.
Write down 6 as next digit of the result. 
Result so far: 1186.0
Subtracting 486 from 547 leaves us with 61.
Fetch the next digit (5) from the dividend, attach it to 61 and continue: 615 / 81

Step 6:
615 divided by 81 is 7 with a remainder of 48.
Write down 7 as next digit of the result. 
Result so far: 11867.0
Deduct 567 from 615 and we're left 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.

Step 7:
81 can be fit into 480 5 times, resulting in a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 11867.5
Subtracting 405 from 480 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 8:
If we divide 750 by 81, we get 9 and a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 11867.59
If we subtract 729 from 750, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 9:
The number 81 fits into 210 2 times, leaving a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 11867.592
Subtract 162 from 210 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 10:
If we divide 480 by 81, we get 5 and a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 11867.5925
Deduct 405 from 480 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 11:
If we divide 750 by 81, we get 9 and a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 11867.59259
If we take 729 away from 750, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 12:
If we divide 210 by 81, we get 2 and a remainder of 48.
The next digit of our result is 2. 
Result so far: 11867.592592
Deduct 162 from 210 and we're left 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.

Going ahead to step 13:
81 can be fit into 480 5 times, resulting in a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 11867.5925925
Subtracting 405 from 480 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 14:
If we divide 750 by 81, we get 9 and a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 11867.59259259
The remainder is 21 after subtracting 729 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

In conclusion, the division gives 11867.59259259 with a balance of 2.1e-08.