Let's divide 338964 by 41
We want to figure out the number of times 338964 can be divided by 41.

Going ahead to step 1:
3 divided by 41 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 41

Going ahead to step 2:
41 goes into 33 0 times with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 33 to get 33.
Grab the next digit (8) from the dividend, add it to 33, then carry on: 338 / 41

Step 3:
The number 41 fits into 338 8 times, leaving a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 328 from 338 to get 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 41

On to step 4:
If we divide 109 by 41, we get 2 and a remainder of 27.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Subtract 82 from 109 to get 27.
Append the next digit (6) from the dividend to 27 and continue with: 276 / 41

On to step 5:
The number 41 fits into 276 6 times, leaving a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 826.0
Deduct 246 from 276 and we're left with 30.
Fetch the next digit (4) from the dividend, attach it to 30 and continue: 304 / 41

Going ahead to step 6:
If we divide 304 by 41, we get 7 and a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 8267.0
Subtracting 287 from 304 leaves us 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 7:
When dividing 170 by 41, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 8267.4
If we take 164 away from 170, we end up 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.

Let's proceed to step 8:
If we divide 60 by 41, we get 1 and a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 8267.41
Deduct 41 from 60 and we're left 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.

Step 9:
When dividing 190 by 41, we get 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 8267.414
If we take 164 away from 190, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 10:
The number 41 fits into 260 6 times, leaving a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 8267.4146
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.

Advancing to step 11:
140 divided by 41 is 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 8267.41463
If we subtract 123 from 140, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 12:
When dividing 170 by 41, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 8267.414634
If we take 164 away from 170, we end up 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.

Step 13:
41 goes into 60 1 times with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 8267.4146341
Subtract 41 from 60 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 14:
41 can be fit into 190 4 times, resulting in a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 8267.41463414
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 8267.41463414 with a remaining 2.6e-08.