We look at the division of 961633 by 81 
We want to figure out the number of times 961633 can be divided by 81.

Going ahead to step 1:
The number 81 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 81

Moving on to step 2:
When dividing 96 by 81, we get 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 15 after subtracting 81 from 96.
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.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 81 from 151 to get 70.
Include the next digit (6) from the dividend after 70, then repeat: 706 / 81

Advancing to step 4:
If we divide 706 by 81, we get 8 and a remainder of 58.
The next digit of our result is 8. 
Result so far: 118.0
The remainder is 58 after subtracting 648 from 706.
Include the next digit (3) from the dividend after 58, then repeat: 583 / 81

Advancing to step 5:
The number 81 fits into 583 7 times, leaving a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 1187.0
If we take 567 away from 583, we end up with 16.
Include the next digit (3) from the dividend after 16, then repeat: 163 / 81

Let's proceed to step 6:
81 goes into 163 2 times with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 11872.0
If we take 162 away from 163, we end up 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 7:
81 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 11872.0
Deduct 0 from 10 and we're left with 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 8:
When dividing 100 by 81, we get 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 11872.01
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 9:
If we divide 190 by 81, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 11872.012
Subtract 162 from 190 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 10:
81 can be fit into 280 3 times, resulting in a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 11872.0123
Deduct 243 from 280 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 11:
When dividing 370 by 81, we get 4 with a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 11872.01234
The remainder is 46 after subtracting 324 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 12:
If we divide 460 by 81, we get 5 and a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 11872.012345
Subtracting 405 from 460 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 13:
81 goes into 550 6 times with a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 11872.0123456
The remainder is 64 after subtracting 486 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 14:
640 divided by 81 is 7 with a remainder of 73.
Put 7 as the next digit of the answer. 
Result so far: 11872.01234567
Subtract 567 from 640 to 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.

In conclusion, the division gives 11872.01234567 with a balance of 7.3e-08.