We're dividing 665871 by 41 
We want to divide 665871 by 41.

On to step 1:
41 goes into 6 0 times with 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.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 41

Advancing to step 2:
66 divided by 41 is 1 with a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 25 after subtracting 41 from 66.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 41

On to step 3:
When dividing 255 by 41, we get 6 with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 246 away from 255, we end up with 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 41

Going ahead to step 4:
When dividing 98 by 41, we get 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 162.0
If we subtract 82 from 98, we get 16.
Append the next digit (7) from the dividend to 16 and continue with: 167 / 41

Moving on to step 5:
The number 41 fits into 167 4 times, leaving a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 1624.0
The remainder is 3 after subtracting 164 from 167.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 41

Let's proceed to step 6:
41 can be fit into 31 0 times, resulting in a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 16240.0
If we take 0 away from 31, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
If we divide 310 by 41, we get 7 and a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 16240.7
Deduct 287 from 310 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
The number 41 fits into 230 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 16240.75
Deduct 205 from 230 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
When dividing 250 by 41, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 16240.756
Deduct 246 from 250 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
When dividing 40 by 41, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 16240.756
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
The number 41 fits into 400 9 times, leaving a remainder of 31.
The next digit of our result is 9. 
Result so far: 16240.75609
Subtracting 369 from 400 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 12:
41 can be fit into 310 7 times, resulting in a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 16240.756097
Deduct 287 from 310 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 13:
230 divided by 41 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 16240.7560975
Subtracting 205 from 230 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 14:
If we divide 250 by 41, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 16240.75609756
If we take 246 away from 250, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 16240.75609756 and a remainder of 4e-09.