85741 ÷ 82 
Our goal is to divide 85741 by 82.

Step 1:
If we divide 8 by 82, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 82

Step 2:
82 can be fit into 85 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 82 from 85 leaves us with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 82

Step 3:
The number 82 fits into 37 0 times, leaving a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 37, we end up with 37.
Append the next digit (4) from the dividend to 37 and continue with: 374 / 82

On to step 4:
The number 82 fits into 374 4 times, leaving a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 104.0
Subtracting 328 from 374 leaves us with 46.
Include the next digit (1) from the dividend after 46, then repeat: 461 / 82

Moving on to step 5:
461 divided by 82 is 5 with a remainder of 51.
The next digit of our result is 5. 
Result so far: 1045.0
Subtracting 410 from 461 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 6:
510 divided by 82 is 6 with a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 1045.6
If we subtract 492 from 510, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
When dividing 180 by 82, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 1045.62
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
If we divide 160 by 82, we get 1 and a remainder of 78.
The next digit of our result is 1. 
Result so far: 1045.621
If we take 82 away from 160, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 9:
If we divide 780 by 82, we get 9 and a remainder of 42.
Record the quotient 9 as the next digit in the result. 
Result so far: 1045.6219
Subtracting 738 from 780 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 10:
420 divided by 82 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 1045.62195
The remainder is 10 after subtracting 410 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
When dividing 100 by 82, we get 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1045.621951
Deduct 82 from 100 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
When dividing 180 by 82, we get 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 1045.6219512
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 13:
The number 82 fits into 160 1 times, leaving a remainder of 78.
Put 1 as the next digit of the answer. 
Result so far: 1045.62195121
Subtracting 82 from 160 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Our division results in 1045.62195121 with a remaining 7.8e-08.