Let's divide 468642 by 41
Our goal is to divide 468642 by 41.

Step 1:
When dividing 4 by 41, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 41

Step 2:
When dividing 46 by 41, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 41 from 46 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 41

Moving on to step 3:
When dividing 58 by 41, we get 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we subtract 41 from 58, we get 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 41

Let's proceed to step 4:
41 can be fit into 176 4 times, resulting in a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 114.0
Subtracting 164 from 176 leaves us with 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 41

Moving on to step 5:
If we divide 124 by 41, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 1143.0
Subtract 123 from 124 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 41

Let's proceed to step 6:
12 divided by 41 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 11430.0
If we take 0 away from 12, we end up 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.

Advancing to step 7:
41 goes into 120 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 11430.2
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
If we divide 380 by 41, we get 9 and a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 11430.29
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
The number 41 fits into 110 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 11430.292
If we take 82 away from 110, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
When dividing 280 by 41, we get 6 with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 11430.2926
Subtracting 246 from 280 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 11:
41 can be fit into 340 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 11430.29268
Deduct 328 from 340 and we're left 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.

On to step 12:
The number 41 fits into 120 2 times, leaving a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 11430.292682
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 13:
380 divided by 41 is 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 11430.2926829
Subtracting 369 from 380 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 14:
41 goes into 110 2 times with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 11430.29268292
Subtracting 82 from 110 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 11430.29268292 with a remaining 2.8e-08.