527013 divided by 81 
Our goal is to divide 527013 by 81.

Let's proceed to step 1:
5 divided by 81 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 81

Advancing to step 2:
52 divided by 81 is 0 with a remainder of 52.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 52 and we're left with 52.
Append the next digit (7) from the dividend to 52 and continue with: 527 / 81

On to step 3:
527 divided by 81 is 6 with a remainder of 41.
The next digit of our result is 6. 
Result so far: 6.0
If we take 486 away from 527, we end up with 41.
Bring next digit (0) of the dividend behind the 41 and repeat the process: 410 / 81

Moving on to step 4:
81 goes into 410 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 65.0
Deduct 405 from 410 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 81

Going ahead to step 5:
If we divide 51 by 81, we get 0 and a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 650.0
Deduct 0 from 51 and we're left with 51.
Bring next digit (3) of the dividend behind the 51 and repeat the process: 513 / 81

Going ahead to step 6:
When dividing 513 by 81, we get 6 with a remainder of 27.
The next digit of our result is 6. 
Result so far: 6506.0
The remainder is 27 after subtracting 486 from 513.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 7:
When dividing 270 by 81, we get 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 6506.3
Deduct 243 from 270 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 8:
81 can be fit into 270 3 times, resulting in a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 6506.33
If we take 243 away from 270, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The quotient of the division is 6506.33, and the remainder is 0.027.