306909 ÷ 38 
Let's see how many times 38 fits into 306909.

On to step 1:
The number 38 fits into 3 0 times, leaving 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.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 38

Going ahead to step 2:
If we divide 30 by 38, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Fetch the next digit (6) from the dividend, attach it to 30 and continue: 306 / 38

Step 3:
306 divided by 38 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 304 from 306 and we're left with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 38

Moving on to step 4:
38 can be fit into 29 0 times, resulting in a remainder of 29.
The number 0 becomes the next digit in our result. 
Result so far: 80.0
Subtracting 0 from 29 leaves us with 29.
Grab the next digit (0) from the dividend, add it to 29, then carry on: 290 / 38

Let's proceed to step 5:
38 can be fit into 290 7 times, resulting in a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 807.0
If we subtract 266 from 290, we get 24.
Bring next digit (9) of the dividend behind the 24 and repeat the process: 249 / 38

On to step 6:
When dividing 249 by 38, we get 6 with a remainder of 21.
Write down 6 as next digit of the result. 
Result so far: 8076.0
The remainder is 21 after subtracting 228 from 249.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
38 goes into 210 5 times with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 8076.5
Subtracting 190 from 210 leaves us with 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:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 8076.55
Subtracting 190 from 200 leaves us with 10.
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 8076.55, with a leftover of 0.01.