We're dividing 663661 by 41 
We're looking to find how many times 41 goes into 663661.

On to step 1:
If we divide 6 by 41, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 41

Step 2:
When dividing 66 by 41, we get 1 with a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 41 away from 66, we end up with 25.
Fetch the next digit (3) from the dividend, attach it to 25 and continue: 253 / 41

Step 3:
If we divide 253 by 41, we get 6 and a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we take 246 away from 253, we end up with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 41

Going ahead to step 4:
76 divided by 41 is 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 161.0
If we take 41 away from 76, we end up with 35.
Bring next digit (6) of the dividend behind the 35 and repeat the process: 356 / 41

Advancing to step 5:
41 can be fit into 356 8 times, resulting in a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 1618.0
The remainder is 28 after subtracting 328 from 356.
Include the next digit (1) from the dividend after 28, then repeat: 281 / 41

Going ahead to step 6:
41 goes into 281 6 times with a remainder of 35.
Use 6 as the next digit of our solution. 
Result so far: 16186.0
Subtracting 246 from 281 leaves us 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 7:
350 divided by 41 is 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 16186.8
Deduct 328 from 350 and we're left with 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 8:
When dividing 220 by 41, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 16186.85
If we take 205 away from 220, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
150 divided by 41 is 3 with a remainder of 27.
The next digit of our result is 3. 
Result so far: 16186.853
Deduct 123 from 150 and we're left 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 10:
41 can be fit into 270 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 16186.8536
If we take 246 away from 270, we end up 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.

On to step 11:
41 goes into 240 5 times with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 16186.85365
The remainder is 35 after subtracting 205 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 12:
If we divide 350 by 41, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 16186.853658
Subtract 328 from 350 to 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 13:
If we divide 220 by 41, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 16186.8536585
Deduct 205 from 220 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 14:
41 can be fit into 150 3 times, resulting in a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 16186.85365853
Subtract 123 from 150 to 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.

After the division, we end up with 16186.85365853 and a remainder of 2.7e-08.