1644 divided by 41 
Our goal is to divide 1644 by 41.

Advancing to step 1:
The number 41 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 41

Let's proceed to step 2:
If we divide 16 by 41, we get 0 and a remainder of 16.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Take the next digit (4) from the dividend and append it to 16, then repeat: 164 / 41

Moving on to step 3:
41 can be fit into 164 4 times, resulting in a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 164 away from 164, we end up with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 41

On to step 4:
When dividing 4 by 41, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 40.0
If we take 0 away from 4, 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.

Step 5:
The number 41 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 40.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 6:
400 divided by 41 is 9 with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 40.09
The remainder is 31 after subtracting 369 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
When dividing 310 by 41, we get 7 with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 40.097
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
If we divide 230 by 41, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 40.0975
If we subtract 205 from 230, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
41 goes into 250 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 40.09756
The remainder is 4 after subtracting 246 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
41 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 40.09756
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.

Going ahead to step 11:
400 divided by 41 is 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 40.0975609
If we subtract 369 from 400, we get 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 12:
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: 40.09756097
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

After the division, we end up with 40.09756097 and a remainder of 2.3e-08.