We divide 421673 by 41
Our goal is to divide 421673 by 41.

Step 1:
The number 41 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 41

On to step 2:
42 divided by 41 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 41 from 42 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 41

Step 3:
The number 41 fits into 11 0 times, leaving a remainder of 11.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 11, we get 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 41

Moving on to step 4:
41 can be fit into 116 2 times, resulting in a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
If we subtract 82 from 116, we get 34.
Bring next digit (7) of the dividend behind the 34 and repeat the process: 347 / 41

Going ahead to step 5:
41 can be fit into 347 8 times, resulting in a remainder of 19.
The number 8 becomes the next digit in our result. 
Result so far: 1028.0
The remainder is 19 after subtracting 328 from 347.
Append the next digit (3) from the dividend to 19 and continue with: 193 / 41

Going ahead to step 6:
If we divide 193 by 41, we get 4 and a remainder of 29.
Use 4 as the next digit of our solution. 
Result so far: 10284.0
Deduct 164 from 193 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
290 divided by 41 is 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 10284.7
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
If we divide 30 by 41, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 10284.7
If we subtract 0 from 30, we 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.

Moving on to step 9:
41 can be fit into 300 7 times, resulting in a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 10284.707
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 10:
41 goes into 130 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 10284.7073
The remainder is 7 after subtracting 123 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 11:
41 goes into 70 1 times with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 10284.70731
If we take 41 away from 70, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 12:
41 can be fit into 290 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 10284.707317
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
41 goes into 30 0 times with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 10284.707317
The remainder is 30 after subtracting 0 from 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 14:
If we divide 300 by 41, we get 7 and a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 10284.70731707
If we subtract 287 from 300, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 10284.70731707 with a remaining 1.3e-08.