We're dividing 461646 by 41 
Our goal is to divide 461646 by 41.

Advancing to step 1:
41 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 41

On to 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
Subtracting 41 from 46 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 41

Moving on to step 3:
41 goes into 51 1 times with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 41 from 51 leaves us with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 41

On to step 4:
If we divide 106 by 41, we get 2 and a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 112.0
Subtract 82 from 106 to get 24.
Bring next digit (4) of the dividend behind the 24 and repeat the process: 244 / 41

Going ahead to step 5:
244 divided by 41 is 5 with a remainder of 39.
Write down 5 as next digit of the result. 
Result so far: 1125.0
Subtract 205 from 244 to get 39.
Include the next digit (6) from the dividend after 39, then repeat: 396 / 41

Step 6:
The number 41 fits into 396 9 times, leaving a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 11259.0
If we subtract 369 from 396, we get 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 7:
41 goes into 270 6 times with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 11259.6
Subtracting 246 from 270 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 8:
If we divide 240 by 41, we get 5 and a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 11259.65
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
The number 41 fits into 350 8 times, leaving a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 11259.658
If we subtract 328 from 350, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 10:
When dividing 220 by 41, we get 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 11259.6585
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
150 divided by 41 is 3 with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 11259.65853
If we take 123 away from 150, we end up 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.

Let's proceed to step 12:
If we divide 270 by 41, we get 6 and a remainder of 24.
The next digit of our result is 6. 
Result so far: 11259.658536
Subtract 246 from 270 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 13:
The number 41 fits into 240 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 11259.6585365
If we take 205 away from 240, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 14:
41 goes into 350 8 times with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 11259.65853658
If we subtract 328 from 350, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final result is 11259.65853658 with a remainder of 2.2e-08.