We're dividing 965309 by 81 
We're looking to find how many times 81 goes into 965309.

Moving on to step 1:
The number 81 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 81

Going ahead to step 2:
81 can be fit into 96 1 times, resulting in a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
If we take 81 away from 96, we end up with 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 81

Advancing to step 3:
155 divided by 81 is 1 with a remainder of 74.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 81 from 155 leaves us with 74.
Bring next digit (3) of the dividend behind the 74 and repeat the process: 743 / 81

Advancing to step 4:
If we divide 743 by 81, we get 9 and a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 119.0
The remainder is 14 after subtracting 729 from 743.
Include the next digit (0) from the dividend after 14, then repeat: 140 / 81

Moving on to step 5:
81 goes into 140 1 times with a remainder of 59.
Write down 1 as next digit of the result. 
Result so far: 1191.0
Subtracting 81 from 140 leaves us with 59.
Include the next digit (9) from the dividend after 59, then repeat: 599 / 81

Going ahead to step 6:
If we divide 599 by 81, we get 7 and a remainder of 32.
Write down 7 as next digit of the result. 
Result so far: 11917.0
The remainder is 32 after subtracting 567 from 599.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 7:
81 can be fit into 320 3 times, resulting in a remainder of 77.
Use 3 as the next digit of our solution. 
Result so far: 11917.3
Subtracting 243 from 320 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 8:
When dividing 770 by 81, we get 9 with a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 11917.39
Subtract 729 from 770 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 9:
The number 81 fits into 410 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 11917.395
Subtract 405 from 410 to get 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 10:
81 can be fit into 50 0 times, resulting in a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 11917.395
If we subtract 0 from 50, we 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.

On to step 11:
If we divide 500 by 81, we get 6 and a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 11917.39506
If we subtract 486 from 500, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 12:
The number 81 fits into 140 1 times, leaving a remainder of 59.
The next digit of our result is 1. 
Result so far: 11917.395061
If we subtract 81 from 140, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 13:
81 goes into 590 7 times with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 11917.3950617
Subtracting 567 from 590 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 14:
81 goes into 230 2 times with a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 11917.39506172
Deduct 162 from 230 and we're left 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.

Our division results in 11917.39506172 with a remaining 6.8e-08.