We divide 665644 by 41
We're looking to find how many times 41 goes into 665644.

On to step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 41

Let's proceed to step 2:
If we divide 66 by 41, we get 1 and a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 41 from 66 to get 25.
Include the next digit (5) from the dividend after 25, then repeat: 255 / 41

Let's proceed to step 3:
When dividing 255 by 41, we get 6 with a remainder of 9.
The next digit of our result is 6. 
Result so far: 16.0
Subtracting 246 from 255 leaves us with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 41

Step 4:
41 goes into 96 2 times with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 162.0
Subtracting 82 from 96 leaves us with 14.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 41

Step 5:
41 goes into 144 3 times with a remainder of 21.
The next digit of our result is 3. 
Result so far: 1623.0
If we subtract 123 from 144, we get 21.
Bring next digit (4) of the dividend behind the 21 and repeat the process: 214 / 41

Step 6:
If we divide 214 by 41, we get 5 and a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 16235.0
The remainder is 9 after subtracting 205 from 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
41 can be fit into 90 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 16235.2
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
When dividing 80 by 41, we get 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 16235.21
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 9:
The number 41 fits into 390 9 times, leaving a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 16235.219
If we subtract 369 from 390, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 10:
210 divided by 41 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 16235.2195
Subtracting 205 from 210 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 11:
41 goes into 50 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 16235.21951
Deduct 41 from 50 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 12:
When dividing 90 by 41, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 16235.219512
Deduct 82 from 90 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
When dividing 80 by 41, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 16235.2195121
Subtracting 41 from 80 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 14:
When dividing 390 by 41, we get 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 16235.21951219
If we subtract 369 from 390, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final outcome is 16235.21951219, with a leftover of 2.1e-08.