We divide 642363 by 41
We want to divide 642363 by 41.

Moving on to step 1:
If we divide 6 by 41, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 41

Moving on to step 2:
41 can be fit into 64 1 times, resulting in a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 41 from 64 to get 23.
Take the next digit (2) from the dividend and append it to 23, then repeat: 232 / 41

Moving on to step 3:
If we divide 232 by 41, we get 5 and a remainder of 27.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
The remainder is 27 after subtracting 205 from 232.
Take the next digit (3) from the dividend and append it to 27, then repeat: 273 / 41

On to step 4:
41 can be fit into 273 6 times, resulting in a remainder of 27.
Put 6 as the next digit of the answer. 
Result so far: 156.0
The remainder is 27 after subtracting 246 from 273.
Grab the next digit (6) from the dividend, add it to 27, then carry on: 276 / 41

Going ahead to step 5:
41 goes into 276 6 times with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 1566.0
Subtracting 246 from 276 leaves us with 30.
Grab the next digit (3) from the dividend, add it to 30, then carry on: 303 / 41

Going ahead to step 6:
41 goes into 303 7 times with a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 15667.0
Subtract 287 from 303 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.

Step 7:
41 goes into 160 3 times with a remainder of 37.
The next digit of our result is 3. 
Result so far: 15667.3
Subtract 123 from 160 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.

On to step 8:
If we divide 370 by 41, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 15667.39
If we take 369 away from 370, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 9:
If we divide 10 by 41, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 15667.39
If we take 0 away from 10, we end up 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 10:
41 can be fit into 100 2 times, resulting in a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 15667.3902
If we subtract 82 from 100, 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.

Let's proceed to step 11:
180 divided by 41 is 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 15667.39024
If we subtract 164 from 180, we 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 12:
41 can be fit into 160 3 times, resulting in a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 15667.390243
Subtracting 123 from 160 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 13:
41 goes into 370 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 15667.3902439
The remainder is 1 after subtracting 369 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 14:
41 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 15667.3902439
Deduct 0 from 10 and we're left 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.

In conclusion, the division gives 15667.3902439 with a balance of 1e-08.