471261 ÷ 81 
We want to divide 471261 by 81.

Going ahead to step 1:
If we divide 4 by 81, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 81

Step 2:
When dividing 47 by 81, we get 0 with a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 47 and we're left with 47.
Take the next digit (1) from the dividend and append it to 47, then repeat: 471 / 81

On to step 3:
When dividing 471 by 81, we get 5 with a remainder of 66.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 405 from 471 leaves us with 66.
Fetch the next digit (2) from the dividend, attach it to 66 and continue: 662 / 81

Advancing to step 4:
If we divide 662 by 81, we get 8 and a remainder of 14.
The next digit of our result is 8. 
Result so far: 58.0
If we take 648 away from 662, we end up with 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 81

Moving on to step 5:
146 divided by 81 is 1 with a remainder of 65.
Put 1 as the next digit of the answer. 
Result so far: 581.0
Deduct 81 from 146 and we're left with 65.
Append the next digit (1) from the dividend to 65 and continue with: 651 / 81

Step 6:
81 can be fit into 651 8 times, resulting in a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 5818.0
If we take 648 away from 651, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
30 divided by 81 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 5818.0
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
81 can be fit into 300 3 times, resulting in a remainder of 57.
The next digit of our result is 3. 
Result so far: 5818.03
If we take 243 away from 300, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 9:
When dividing 570 by 81, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 5818.037
If we subtract 567 from 570, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
When dividing 30 by 81, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 5818.037
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 11:
The number 81 fits into 300 3 times, leaving a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 5818.03703
If we take 243 away from 300, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 12:
570 divided by 81 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 5818.037037
If we subtract 567 from 570, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
When dividing 30 by 81, we get 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 5818.037037
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 14:
81 can be fit into 300 3 times, resulting in a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 5818.03703703
If we take 243 away from 300, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

In conclusion, the division gives 5818.03703703 with a balance of 5.7e-08.