We look at the division of 338041 by 7 
We're looking to find how many times 7 goes into 338041.

Let's proceed to step 1:
7 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 7

On to step 2:
The number 7 fits into 33 4 times, leaving a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 28 from 33 leaves us with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 7

On to step 3:
7 goes into 58 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 48.0
Subtracting 56 from 58 leaves us with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 7

Advancing to step 4:
If we divide 20 by 7, we get 2 and a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 482.0
If we take 14 away from 20, we end up with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 7

Going ahead to step 5:
7 goes into 64 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 4829.0
Subtract 63 from 64 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 7

Going ahead to step 6:
If we divide 11 by 7, we get 1 and a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 48291.0
The remainder is 4 after subtracting 7 from 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
If we divide 40 by 7, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 48291.5
If we take 35 away from 40, we end up 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.

On to step 8:
When dividing 50 by 7, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 48291.57
Subtract 49 from 50 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
7 goes into 10 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 48291.571
If we subtract 7 from 10, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
If we divide 30 by 7, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 48291.5714
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 48291.57142
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
60 divided by 7 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 48291.571428
If we take 56 away from 60, we end up 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.

Advancing to step 13:
If we divide 40 by 7, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 48291.5714285
If we take 35 away from 40, we end up 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.

Moving on to step 14:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 48291.57142857
Subtract 49 from 50 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 48291.57142857 and a remainder of 1e-09.