505742 ÷ 81 
We want to figure out the number of times 505742 can be divided by 81.

Moving on to step 1:
When dividing 5 by 81, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 81

Step 2:
81 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Grab the next digit (5) from the dividend, add it to 50, then carry on: 505 / 81

Step 3:
81 goes into 505 6 times with a remainder of 19.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 486 from 505, we get 19.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 81

On to step 4:
81 goes into 197 2 times with a remainder of 35.
Put 2 as the next digit of the answer. 
Result so far: 62.0
If we take 162 away from 197, we end up with 35.
Bring next digit (4) of the dividend behind the 35 and repeat the process: 354 / 81

Going ahead to step 5:
The number 81 fits into 354 4 times, leaving a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 624.0
The remainder is 30 after subtracting 324 from 354.
Include the next digit (2) from the dividend after 30, then repeat: 302 / 81

Moving on to step 6:
81 can be fit into 302 3 times, resulting in a remainder of 59.
Put 3 as the next digit of the answer. 
Result so far: 6243.0
If we take 243 away from 302, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 7:
81 can be fit into 590 7 times, resulting in a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 6243.7
Subtract 567 from 590 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
The number 81 fits into 230 2 times, leaving a remainder of 68.
The next digit of our result is 2. 
Result so far: 6243.72
If we take 162 away from 230, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 9:
If we divide 680 by 81, we get 8 and a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 6243.728
Subtracting 648 from 680 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
When dividing 320 by 81, we get 3 with a remainder of 77.
The number 3 becomes the next digit in our result. 
Result so far: 6243.7283
Subtract 243 from 320 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 11:
81 can be fit into 770 9 times, resulting in a remainder of 41.
The next digit of our result is 9. 
Result so far: 6243.72839
Subtracting 729 from 770 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 12:
If we divide 410 by 81, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 6243.728395
If we subtract 405 from 410, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
81 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 6243.728395
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 14:
81 goes into 500 6 times with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 6243.72839506
Subtract 486 from 500 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 6243.72839506 with a balance of 1.4e-08.