38208408 ÷ 108 
We want to figure out the number of times 38208408 can be divided by 108.

Going ahead to step 1:
108 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 108

Step 2:
If we divide 38 by 108, we get 0 and a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 38 and we're left with 38.
Bring next digit (2) of the dividend behind the 38 and repeat the process: 382 / 108

On to step 3:
108 goes into 382 3 times with a remainder of 58.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 324 from 382 leaves us with 58.
Grab the next digit (0) from the dividend, add it to 58, then carry on: 580 / 108

Advancing to step 4:
If we divide 580 by 108, we get 5 and a remainder of 40.
The next digit of our result is 5. 
Result so far: 35.0
Deduct 540 from 580 and we're left with 40.
Grab the next digit (8) from the dividend, add it to 40, then carry on: 408 / 108

Advancing to step 5:
The number 108 fits into 408 3 times, leaving a remainder of 84.
Put 3 as the next digit of the answer. 
Result so far: 353.0
Subtract 324 from 408 to get 84.
Take the next digit (4) from the dividend and append it to 84, then repeat: 844 / 108

Advancing to step 6:
If we divide 844 by 108, we get 7 and a remainder of 88.
Put 7 as the next digit of the answer. 
Result so far: 3537.0
If we subtract 756 from 844, we get 88.
Fetch the next digit (0) from the dividend, attach it to 88 and continue: 880 / 108

Let's proceed to step 7:
If we divide 880 by 108, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 35378.0
Deduct 864 from 880 and we're left with 16.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 108

Going ahead to step 8:
108 goes into 168 1 times with a remainder of 60.
The next digit of our result is 1. 
Result so far: 353781.0
The remainder is 60 after subtracting 108 from 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 9:
The number 108 fits into 600 5 times, leaving a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 353781.5
If we take 540 away from 600, we end up 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.

Going ahead to step 10:
When dividing 600 by 108, we get 5 with a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 353781.55
Subtracting 540 from 600 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.

The final outcome is 353781.55, with a leftover of 0.06.