We're dividing 338281 by 41 
Our goal is to divide 338281 by 41.

Let's proceed to step 1:
The number 41 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 41

Let's proceed to step 2:
33 divided by 41 is 0 with a remainder of 33.
The next digit of our result is 0. 
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

Advancing to step 3:
41 goes into 338 8 times with 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.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 41

Step 4:
If we divide 102 by 41, we get 2 and a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
The remainder is 20 after subtracting 82 from 102.
Bring next digit (8) of the dividend behind the 20 and repeat the process: 208 / 41

Let's proceed to step 5:
41 can be fit into 208 5 times, resulting in a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 825.0
Deduct 205 from 208 and we're left with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 41

Going ahead to step 6:
41 can be fit into 31 0 times, resulting in a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 8250.0
The remainder is 31 after subtracting 0 from 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
The number 41 fits into 310 7 times, leaving a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 8250.7
Subtracting 287 from 310 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 8:
230 divided by 41 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 8250.75
If we take 205 away from 230, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
The number 41 fits into 250 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 8250.756
If we subtract 246 from 250, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
When dividing 40 by 41, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8250.756
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 11:
400 divided by 41 is 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 8250.75609
Deduct 369 from 400 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 12:
When dividing 310 by 41, we get 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 8250.756097
Subtract 287 from 310 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 13:
When dividing 230 by 41, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 8250.7560975
Subtracting 205 from 230 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 14:
If we divide 250 by 41, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 8250.75609756
Deduct 246 from 250 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 8250.75609756 with a remainder of 4e-09.