We're dividing 706411 by 81 
Our goal is to divide 706411 by 81.

Advancing to step 1:
When dividing 7 by 81, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 81

Step 2:
When dividing 70 by 81, we get 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 70 leaves us with 70.
Bring next digit (6) of the dividend behind the 70 and repeat the process: 706 / 81

Let's proceed to step 3:
When dividing 706 by 81, we get 8 with a remainder of 58.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 648 from 706 and we're left with 58.
Append the next digit (4) from the dividend to 58 and continue with: 584 / 81

On to step 4:
When dividing 584 by 81, we get 7 with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
Deduct 567 from 584 and we're left with 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 81

On to step 5:
81 goes into 171 2 times with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 872.0
Subtracting 162 from 171 leaves us with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 81

Advancing to step 6:
The number 81 fits into 91 1 times, leaving a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 8721.0
If we take 81 away from 91, we end up 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.

Let's proceed to step 7:
The number 81 fits into 100 1 times, leaving a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 8721.1
Subtracting 81 from 100 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 8:
The number 81 fits into 190 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 8721.12
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.

Step 9:
81 can be fit into 280 3 times, resulting in a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 8721.123
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.

Moving on to step 10:
If we divide 370 by 81, we get 4 and a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 8721.1234
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.

Going ahead to step 11:
The number 81 fits into 460 5 times, leaving a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 8721.12345
If we take 405 away from 460, we end up 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.

On to step 12:
81 can be fit into 550 6 times, resulting in a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 8721.123456
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.

Step 13:
The number 81 fits into 640 7 times, leaving a remainder of 73.
The next digit of our result is 7. 
Result so far: 8721.1234567
Subtracting 567 from 640 leaves us with 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 14:
If we divide 730 by 81, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 8721.12345679
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.

In conclusion, the division gives 8721.12345679 with a balance of 1e-09.