Let's divide 344301 by 38
We want to divide 344301 by 38.

On to step 1:
If we divide 3 by 38, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 38

Advancing to step 2:
34 divided by 38 is 0 with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Append the next digit (4) from the dividend to 34 and continue with: 344 / 38

Moving on to step 3:
38 can be fit into 344 9 times, resulting in a remainder of 2.
The next digit of our result is 9. 
Result so far: 9.0
If we subtract 342 from 344, we get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 38

On to step 4:
If we divide 23 by 38, we get 0 and a remainder of 23.
Use 0 as the next digit of our solution. 
Result so far: 90.0
The remainder is 23 after subtracting 0 from 23.
Grab the next digit (0) from the dividend, add it to 23, then carry on: 230 / 38

Let's proceed to step 5:
230 divided by 38 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 906.0
Subtract 228 from 230 to get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 38

Going ahead to step 6:
The number 38 fits into 21 0 times, leaving a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 9060.0
The remainder is 21 after subtracting 0 from 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 7:
When dividing 210 by 38, we get 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 9060.5
If we subtract 190 from 210, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
The number 38 fits into 200 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 9060.55
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 9060.55, with a leftover of 0.01.