Let's divide 338668 by 41
Our goal is to divide 338668 by 41.

Advancing 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 subtract 0 from 3, we get 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 41

On to step 2:
When dividing 33 by 41, we get 0 with 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.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 41

Step 3:
If we divide 338 by 41, we get 8 and a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 328 from 338 leaves us with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 41

Moving on to step 4:
If we divide 106 by 41, we get 2 and a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Subtract 82 from 106 to get 24.
Include the next digit (6) from the dividend after 24, then repeat: 246 / 41

Let's proceed to step 5:
When dividing 246 by 41, we get 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 826.0
The remainder is 0 after subtracting 246 from 246.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 41

Advancing to step 6:
If we divide 8 by 41, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 8260.0
Subtract 0 from 8 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
80 divided by 41 is 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 8260.1
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 8:
41 can be fit into 390 9 times, resulting in a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 8260.19
Deduct 369 from 390 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 9:
41 goes into 210 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 8260.195
Subtract 205 from 210 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
41 goes into 50 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 8260.1951
If we take 41 away from 50, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 11:
When dividing 90 by 41, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 8260.19512
If we take 82 away from 90, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
The number 41 fits into 80 1 times, leaving a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 8260.195121
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 13:
390 divided by 41 is 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 8260.1951219
Deduct 369 from 390 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 14:
210 divided by 41 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 8260.19512195
Deduct 205 from 210 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 8260.19512195, with a leftover of 5e-09.