Let's divide 423645 by 41
We want to divide 423645 by 41.

Step 1:
If we divide 4 by 41, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 41

On to step 2:
41 goes into 42 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 41 away from 42, we end up with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 41

Step 3:
When dividing 13 by 41, we get 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 13, we get 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 41

On to step 4:
The number 41 fits into 136 3 times, leaving a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
If we take 123 away from 136, we end up with 13.
Bring next digit (4) of the dividend behind the 13 and repeat the process: 134 / 41

Moving on to step 5:
41 can be fit into 134 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 1033.0
If we take 123 away from 134, we end up with 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 41

Moving on to step 6:
115 divided by 41 is 2 with a remainder of 33.
Write down 2 as next digit of the result. 
Result so far: 10332.0
If we subtract 82 from 115, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 7:
41 can be fit into 330 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 10332.8
If we subtract 328 from 330, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
When dividing 20 by 41, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 10332.8
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
When dividing 200 by 41, we get 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 10332.804
Subtract 164 from 200 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
When dividing 360 by 41, we get 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 10332.8048
The remainder is 32 after subtracting 328 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
41 can be fit into 320 7 times, resulting in a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 10332.80487
Deduct 287 from 320 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 12:
If we divide 330 by 41, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 10332.804878
Subtracting 328 from 330 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
20 divided by 41 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 10332.804878
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
41 goes into 200 4 times with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 10332.80487804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 10332.80487804 with a balance of 3.6e-08.