We're dividing 966079 by 81 
We want to divide 966079 by 81.

Advancing to step 1:
81 goes into 9 0 times with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 81

Going ahead to step 2:
81 can be fit into 96 1 times, resulting in a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 81 from 96, we get 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 81

Advancing to step 3:
81 goes into 156 1 times with a remainder of 75.
Use 1 as the next digit of our solution. 
Result so far: 11.0
The remainder is 75 after subtracting 81 from 156.
Take the next digit (0) from the dividend and append it to 75, then repeat: 750 / 81

Going ahead to step 4:
750 divided by 81 is 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 119.0
If we subtract 729 from 750, we get 21.
Take the next digit (7) from the dividend and append it to 21, then repeat: 217 / 81

Advancing to step 5:
217 divided by 81 is 2 with a remainder of 55.
Write down 2 as next digit of the result. 
Result so far: 1192.0
Subtract 162 from 217 to get 55.
Include the next digit (9) from the dividend after 55, then repeat: 559 / 81

Step 6:
81 goes into 559 6 times with a remainder of 73.
The number 6 becomes the next digit in our result. 
Result so far: 11926.0
If we subtract 486 from 559, we get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 7:
If we divide 730 by 81, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 11926.9
Deduct 729 from 730 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
81 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 11926.9
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
The number 81 fits into 100 1 times, leaving a remainder of 19.
The next digit of our result is 1. 
Result so far: 11926.901
Subtract 81 from 100 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 10:
190 divided by 81 is 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 11926.9012
Deduct 162 from 190 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 11:
When dividing 280 by 81, we get 3 with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 11926.90123
If we subtract 243 from 280, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 12:
The number 81 fits into 370 4 times, leaving a remainder of 46.
The next digit of our result is 4. 
Result so far: 11926.901234
Subtracting 324 from 370 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 13:
81 can be fit into 460 5 times, resulting in a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 11926.9012345
Subtract 405 from 460 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 14:
550 divided by 81 is 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 11926.90123456
Subtracting 486 from 550 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 11926.90123456 with a balance of 6.4e-08.