42085 ÷ 81 
We want to figure out the number of times 42085 can be divided by 81.

Advancing to step 1:
4 divided by 81 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 81

Advancing to step 2:
If we divide 42 by 81, we get 0 and a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Append the next digit (0) from the dividend to 42 and continue with: 420 / 81

On to step 3:
If we divide 420 by 81, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 15 after subtracting 405 from 420.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 81

On to step 4:
If we divide 158 by 81, we get 1 and a remainder of 77.
Write down 1 as next digit of the result. 
Result so far: 51.0
Subtracting 81 from 158 leaves us with 77.
Include the next digit (5) from the dividend after 77, then repeat: 775 / 81

Going ahead to step 5:
If we divide 775 by 81, we get 9 and a remainder of 46.
Write down 9 as next digit of the result. 
Result so far: 519.0
Deduct 729 from 775 and we're left 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.

Moving on to step 6:
The number 81 fits into 460 5 times, leaving a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 519.5
If we subtract 405 from 460, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 7:
The number 81 fits into 550 6 times, leaving a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 519.56
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.

Moving on to step 8:
If we divide 640 by 81, we get 7 and a remainder of 73.
Use 7 as the next digit of our solution. 
Result so far: 519.567
If we take 567 away from 640, we end up 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.

Advancing to step 9:
The number 81 fits into 730 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 519.5679
If we subtract 729 from 730, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
If we divide 10 by 81, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 519.5679
Subtracting 0 from 10 leaves us 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.

Moving on to step 11:
When dividing 100 by 81, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 519.567901
Subtract 81 from 100 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 12:
When dividing 190 by 81, we get 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 519.5679012
The remainder is 28 after subtracting 162 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 13:
When dividing 280 by 81, we get 3 with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 519.56790123
Subtract 243 from 280 to 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.

In conclusion, the division gives 519.56790123 with a balance of 3.7e-08.