We're dividing 344303 by 41 
We want to figure out the number of times 344303 can be divided by 41.

Let's proceed to step 1:
The number 41 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 41

Let's proceed to step 2:
41 can be fit into 34 0 times, resulting in a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Fetch the next digit (4) from the dividend, attach it to 34 and continue: 344 / 41

On to step 3:
41 can be fit into 344 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 328 from 344 leaves us with 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 41

Going ahead to step 4:
41 goes into 163 3 times with a remainder of 40.
The number 3 becomes the next digit in our result. 
Result so far: 83.0
Subtract 123 from 163 to get 40.
Grab the next digit (0) from the dividend, add it to 40, then carry on: 400 / 41

Step 5:
41 can be fit into 400 9 times, resulting in a remainder of 31.
The next digit of our result is 9. 
Result so far: 839.0
Subtract 369 from 400 to get 31.
Fetch the next digit (3) from the dividend, attach it to 31 and continue: 313 / 41

Going ahead to step 6:
41 can be fit into 313 7 times, resulting in a remainder of 26.
The next digit of our result is 7. 
Result so far: 8397.0
The remainder is 26 after subtracting 287 from 313.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
260 divided by 41 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 8397.6
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
The number 41 fits into 140 3 times, leaving a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 8397.63
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 9:
41 can be fit into 170 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 8397.634
Subtracting 164 from 170 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
The number 41 fits into 60 1 times, leaving a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 8397.6341
If we take 41 away from 60, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 11:
41 can be fit into 190 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 8397.63414
If we subtract 164 from 190, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 12:
41 goes into 260 6 times with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 8397.634146
Deduct 246 from 260 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 13:
41 goes into 140 3 times with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 8397.6341463
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 14:
The number 41 fits into 170 4 times, leaving a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 8397.63414634
Subtracting 164 from 170 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 8397.63414634 and a remainder of 6e-09.