We're dividing 82641 by 42 
Our goal is to divide 82641 by 42.

Let's proceed to step 1:
42 can be fit into 8 0 times, resulting in a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 42

Going ahead to step 2:
The number 42 fits into 82 1 times, leaving a remainder of 40.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 42 from 82, we get 40.
Take the next digit (6) from the dividend and append it to 40, then repeat: 406 / 42

Step 3:
42 goes into 406 9 times with a remainder of 28.
Use 9 as the next digit of our solution. 
Result so far: 19.0
The remainder is 28 after subtracting 378 from 406.
Append the next digit (4) from the dividend to 28 and continue with: 284 / 42

Step 4:
When dividing 284 by 42, we get 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 196.0
Subtracting 252 from 284 leaves us with 32.
Fetch the next digit (1) from the dividend, attach it to 32 and continue: 321 / 42

Step 5:
If we divide 321 by 42, we get 7 and a remainder of 27.
Record the quotient 7 as the next digit in the result. 
Result so far: 1967.0
Subtracting 294 from 321 leaves us 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.

Advancing to step 6:
The number 42 fits into 270 6 times, leaving a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 1967.6
The remainder is 18 after subtracting 252 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
42 goes into 180 4 times with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 1967.64
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
If we divide 120 by 42, we get 2 and a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 1967.642
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 9:
The number 42 fits into 360 8 times, leaving a remainder of 24.
The next digit of our result is 8. 
Result so far: 1967.6428
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 10:
If we divide 240 by 42, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 1967.64285
Subtract 210 from 240 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
42 goes into 300 7 times with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 1967.642857
If we take 294 away from 300, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
If we divide 60 by 42, we get 1 and a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 1967.6428571
Deduct 42 from 60 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.

Advancing to step 13:
The number 42 fits into 180 4 times, leaving a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 1967.64285714
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 1967.64285714 with a remainder of 1.2e-08.