We look at the division of 338642 by 91 
Let's see how many times 91 fits into 338642.

Advancing to step 1:
91 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 91

Advancing to step 2:
91 goes into 33 0 times with a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 91

Moving on to step 3:
91 goes into 338 3 times with a remainder of 65.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 273 from 338, we get 65.
Fetch the next digit (6) from the dividend, attach it to 65 and continue: 656 / 91

On to step 4:
91 can be fit into 656 7 times, resulting in a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
The remainder is 19 after subtracting 637 from 656.
Append the next digit (4) from the dividend to 19 and continue with: 194 / 91

Let's proceed to step 5:
91 goes into 194 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 372.0
If we take 182 away from 194, we end up with 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 91

Going ahead to step 6:
The number 91 fits into 122 1 times, leaving a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 3721.0
Subtracting 91 from 122 leaves us 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 7:
If we divide 310 by 91, we get 3 and a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 3721.3
Deduct 273 from 310 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 8:
370 divided by 91 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 3721.34
The remainder is 6 after subtracting 364 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
91 can be fit into 60 0 times, resulting in a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 3721.34
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 10:
600 divided by 91 is 6 with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 3721.3406
If we take 546 away from 600, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 11:
When dividing 540 by 91, we get 5 with a remainder of 85.
The number 5 becomes the next digit in our result. 
Result so far: 3721.34065
The remainder is 85 after subtracting 455 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Going ahead to step 12:
850 divided by 91 is 9 with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 3721.340659
Deduct 819 from 850 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.

Let's proceed to step 13:
If we divide 310 by 91, we get 3 and a remainder of 37.
The next digit of our result is 3. 
Result so far: 3721.3406593
Subtract 273 from 310 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 14:
91 goes into 370 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 3721.34065934
Deduct 364 from 370 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 3721.34065934 with a remaining 6e-09.