We look at the division of 338766 by 41 
Let's see how many times 41 fits into 338766.

Going ahead to step 1:
If we divide 3 by 41, we get 0 and 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.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 41

Step 2:
If we divide 33 by 41, we get 0 and a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Append the next digit (8) from the dividend to 33 and continue with: 338 / 41

Let's proceed to step 3:
The number 41 fits into 338 8 times, leaving a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 328 from 338 to get 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 41

Step 4:
The number 41 fits into 107 2 times, leaving a remainder of 25.
Write down 2 as next digit of the result. 
Result so far: 82.0
Subtract 82 from 107 to get 25.
Append the next digit (6) from the dividend to 25 and continue with: 256 / 41

Advancing to step 5:
256 divided by 41 is 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 826.0
Subtract 246 from 256 to get 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 41

Let's proceed to step 6:
If we divide 106 by 41, we get 2 and a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 8262.0
Deduct 82 from 106 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
41 goes into 240 5 times with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 8262.5
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
350 divided by 41 is 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 8262.58
Deduct 328 from 350 and we're left 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.

Going ahead to step 9:
41 can be fit into 220 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 8262.585
Subtracting 205 from 220 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 10:
The number 41 fits into 150 3 times, leaving a remainder of 27.
The next digit of our result is 3. 
Result so far: 8262.5853
Subtract 123 from 150 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 11:
270 divided by 41 is 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 8262.58536
If we subtract 246 from 270, we 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 12:
If we divide 240 by 41, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 8262.585365
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:
The number 41 fits into 350 8 times, leaving a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 8262.5853658
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.

Going ahead to step 14:
41 can be fit into 220 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 8262.58536585
Deduct 205 from 220 and we're left with 15.
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 8262.58536585 with a remainder of 1.5e-08.