386338 ÷ 34 
Our goal is to divide 386338 by 34.

Step 1:
34 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 34

Step 2:
38 divided by 34 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 34 from 38 and we're left with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 34

Let's proceed to step 3:
46 divided by 34 is 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 34 away from 46, we end up with 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 34

On to step 4:
If we divide 123 by 34, we get 3 and a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 113.0
Subtract 102 from 123 to get 21.
Bring next digit (3) of the dividend behind the 21 and repeat the process: 213 / 34

Advancing to step 5:
The number 34 fits into 213 6 times, leaving a remainder of 9.
The next digit of our result is 6. 
Result so far: 1136.0
Deduct 204 from 213 and we're left with 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 34

Advancing to step 6:
When dividing 98 by 34, we get 2 with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 11362.0
Deduct 68 from 98 and we're left 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.

Let's proceed to step 7:
34 can be fit into 300 8 times, resulting in a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 11362.8
The remainder is 28 after subtracting 272 from 300.
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 8:
The number 34 fits into 280 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 11362.88
Deduct 272 from 280 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 11362.88, with a leftover of 0.008.