338260 ÷ 38 
Let's see how many times 38 fits into 338260.

Advancing to step 1:
When dividing 3 by 38, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 38

Let's proceed to step 2:
When dividing 33 by 38, we get 0 with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 38

On to step 3:
When dividing 338 by 38, we get 8 with a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 304 from 338 and we're left with 34.
Append the next digit (2) from the dividend to 34 and continue with: 342 / 38

Going ahead to step 4:
38 goes into 342 9 times with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 89.0
The remainder is 0 after subtracting 342 from 342.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 38

On to step 5:
38 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 890.0
Subtract 0 from 6 to get 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 38

Moving on to step 6:
When dividing 60 by 38, we get 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 8901.0
Subtract 38 from 60 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
The number 38 fits into 220 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 8901.5
If we take 190 away from 220, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
300 divided by 38 is 7 with a remainder of 34.
The next digit of our result is 7. 
Result so far: 8901.57
The remainder is 34 after subtracting 266 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 9:
When dividing 340 by 38, we get 8 with a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 8901.578
If we take 304 away from 340, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 10:
38 can be fit into 360 9 times, resulting in a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 8901.5789
Deduct 342 from 360 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
If we divide 180 by 38, we get 4 and a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 8901.57894
If we subtract 152 from 180, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 12:
38 goes into 280 7 times with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 8901.578947
If we take 266 away from 280, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
When dividing 140 by 38, we get 3 with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 8901.5789473
If we subtract 114 from 140, 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.

Going ahead to step 14:
When dividing 260 by 38, we get 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 8901.57894736
If we take 228 away from 260, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 8901.57894736, with a leftover of 3.2e-08.