644831 ÷ 41 
Our goal is to divide 644831 by 41.

Moving on to step 1:
When dividing 6 by 41, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 41

Going ahead to step 2:
When dividing 64 by 41, we get 1 with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 41 away from 64, we end up with 23.
Append the next digit (4) from the dividend to 23 and continue with: 234 / 41

Going ahead to step 3:
If we divide 234 by 41, we get 5 and a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 205 from 234 and we're left with 29.
Grab the next digit (8) from the dividend, add it to 29, then carry on: 298 / 41

Moving on to step 4:
41 goes into 298 7 times with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 157.0
Subtract 287 from 298 to get 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 41

Let's proceed to step 5:
113 divided by 41 is 2 with a remainder of 31.
Use 2 as the next digit of our solution. 
Result so far: 1572.0
The remainder is 31 after subtracting 82 from 113.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 41

Going ahead to step 6:
311 divided by 41 is 7 with a remainder of 24.
The next digit of our result is 7. 
Result so far: 15727.0
Subtract 287 from 311 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.

On to step 7:
240 divided by 41 is 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 15727.5
Deduct 205 from 240 and we're left 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.

Let's proceed to step 8:
The number 41 fits into 350 8 times, leaving a remainder of 22.
The next digit of our result is 8. 
Result so far: 15727.58
Subtracting 328 from 350 leaves us 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.

Let's proceed to step 9:
41 goes into 220 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 15727.585
If we subtract 205 from 220, we get 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 10:
The number 41 fits into 150 3 times, leaving a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 15727.5853
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.

Moving on to step 11:
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: 15727.58536
The remainder is 24 after subtracting 246 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 12:
If we divide 240 by 41, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 15727.585365
Deduct 205 from 240 and we're left 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 13:
41 goes into 350 8 times with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 15727.5853658
The remainder is 22 after subtracting 328 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 14:
41 can be fit into 220 5 times, resulting in a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 15727.58536585
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.

The final result is 15727.58536585 with a remainder of 1.5e-08.