We look at the division of 338627 by 71 
Our goal is to divide 338627 by 71.

Moving on to step 1:
When dividing 3 by 71, we get 0 with 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.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 71

Step 2:
33 divided by 71 is 0 with a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Append the next digit (8) from the dividend to 33 and continue with: 338 / 71

Advancing to step 3:
71 can be fit into 338 4 times, resulting in a remainder of 54.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 284 from 338, we get 54.
Append the next digit (6) from the dividend to 54 and continue with: 546 / 71

Let's proceed to step 4:
When dividing 546 by 71, we get 7 with a remainder of 49.
The next digit of our result is 7. 
Result so far: 47.0
If we subtract 497 from 546, we get 49.
Fetch the next digit (2) from the dividend, attach it to 49 and continue: 492 / 71

Moving on to step 5:
71 goes into 492 6 times with a remainder of 66.
The number 6 becomes the next digit in our result. 
Result so far: 476.0
Subtract 426 from 492 to get 66.
Fetch the next digit (7) from the dividend, attach it to 66 and continue: 667 / 71

Advancing to step 6:
667 divided by 71 is 9 with a remainder of 28.
Write down 9 as next digit of the result. 
Result so far: 4769.0
Subtracting 639 from 667 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
71 goes into 280 3 times with a remainder of 67.
The next digit of our result is 3. 
Result so far: 4769.3
If we subtract 213 from 280, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 8:
71 can be fit into 670 9 times, resulting in a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 4769.39
If we take 639 away from 670, we end up 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.

On to step 9:
The number 71 fits into 310 4 times, leaving a remainder of 26.
The next digit of our result is 4. 
Result so far: 4769.394
If we subtract 284 from 310, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 10:
260 divided by 71 is 3 with a remainder of 47.
The next digit of our result is 3. 
Result so far: 4769.3943
Subtracting 213 from 260 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 11:
470 divided by 71 is 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 4769.39436
Subtracting 426 from 470 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 12:
When dividing 440 by 71, we get 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 4769.394366
The remainder is 14 after subtracting 426 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 4769.394366 and a remainder of 1.4e-06.