Let's divide 646337 by 41
We want to divide 646337 by 41.

Step 1:
6 divided by 41 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 41

On to step 2:
The number 41 fits into 64 1 times, leaving a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 41 from 64, we get 23.
Append the next digit (6) from the dividend to 23 and continue with: 236 / 41

Moving on to step 3:
The number 41 fits into 236 5 times, leaving a remainder of 31.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
If we subtract 205 from 236, we get 31.
Append the next digit (3) from the dividend to 31 and continue with: 313 / 41

Going ahead to step 4:
If we divide 313 by 41, we get 7 and a remainder of 26.
The next digit of our result is 7. 
Result so far: 157.0
Subtracting 287 from 313 leaves us with 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 41

Going ahead to step 5:
When dividing 263 by 41, we get 6 with a remainder of 17.
The next digit of our result is 6. 
Result so far: 1576.0
The remainder is 17 after subtracting 246 from 263.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 41

Going ahead to step 6:
When dividing 177 by 41, we get 4 with a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 15764.0
Deduct 164 from 177 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
41 goes into 130 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 15764.3
The remainder is 7 after subtracting 123 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
When dividing 70 by 41, we get 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 15764.31
Deduct 41 from 70 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 9:
The number 41 fits into 290 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 15764.317
Subtracting 287 from 290 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
The number 41 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 15764.317
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 11:
41 can be fit into 300 7 times, resulting in a remainder of 13.
The next digit of our result is 7. 
Result so far: 15764.31707
If we take 287 away from 300, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 12:
41 can be fit into 130 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 15764.317073
Deduct 123 from 130 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
If we divide 70 by 41, we get 1 and a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 15764.3170731
Subtracting 41 from 70 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 14:
When dividing 290 by 41, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 15764.31707317
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 15764.31707317 and a remainder of 3e-09.