864164 ÷ 81 
We want to divide 864164 by 81.

Advancing to step 1:
81 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 81

Moving on to step 2:
If we divide 86 by 81, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 81 from 86 and we're left with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 81

Let's proceed to step 3:
81 goes into 54 0 times with a remainder of 54.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 54, we get 54.
Append the next digit (1) from the dividend to 54 and continue with: 541 / 81

Advancing to step 4:
541 divided by 81 is 6 with a remainder of 55.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
The remainder is 55 after subtracting 486 from 541.
Include the next digit (6) from the dividend after 55, then repeat: 556 / 81

Step 5:
81 goes into 556 6 times with a remainder of 70.
Record the quotient 6 as the next digit in the result. 
Result so far: 1066.0
If we take 486 away from 556, we end up with 70.
Bring next digit (4) of the dividend behind the 70 and repeat the process: 704 / 81

Advancing to step 6:
81 goes into 704 8 times with a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 10668.0
The remainder is 56 after subtracting 648 from 704.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 7:
81 can be fit into 560 6 times, resulting in a remainder of 74.
The next digit of our result is 6. 
Result so far: 10668.6
Subtract 486 from 560 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 8:
81 goes into 740 9 times with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 10668.69
Subtracting 729 from 740 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
81 goes into 110 1 times with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 10668.691
If we subtract 81 from 110, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 10:
290 divided by 81 is 3 with a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 10668.6913
If we subtract 243 from 290, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 11:
The number 81 fits into 470 5 times, leaving a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 10668.69135
If we subtract 405 from 470, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 12:
When dividing 650 by 81, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 10668.691358
If we take 648 away from 650, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
81 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 10668.691358
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
The number 81 fits into 200 2 times, leaving a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 10668.69135802
Deduct 162 from 200 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 10668.69135802 with a balance of 3.8e-08.