We look at the division of 709866 by 81 
We want to divide 709866 by 81.

Advancing to step 1:
81 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 81

On to step 2:
When dividing 70 by 81, we get 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 70 after subtracting 0 from 70.
Append the next digit (9) from the dividend to 70 and continue with: 709 / 81

Going ahead to step 3:
81 goes into 709 8 times with a remainder of 61.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 648 from 709 to get 61.
Take the next digit (8) from the dividend and append it to 61, then repeat: 618 / 81

Moving on to step 4:
81 goes into 618 7 times with a remainder of 51.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
Deduct 567 from 618 and we're left with 51.
Bring next digit (6) of the dividend behind the 51 and repeat the process: 516 / 81

Step 5:
81 goes into 516 6 times with a remainder of 30.
The next digit of our result is 6. 
Result so far: 876.0
If we subtract 486 from 516, we get 30.
Grab the next digit (6) from the dividend, add it to 30, then carry on: 306 / 81

On to step 6:
81 can be fit into 306 3 times, resulting in a remainder of 63.
Write down 3 as next digit of the result. 
Result so far: 8763.0
If we take 243 away from 306, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 7:
The number 81 fits into 630 7 times, leaving a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 8763.7
Subtract 567 from 630 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 8:
630 divided by 81 is 7 with a remainder of 63.
Put 7 as the next digit of the answer. 
Result so far: 8763.77
If we take 567 away from 630, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Our division results in 8763.77 with a remaining 0.063.