108093 ÷ 38 
We want to figure out the number of times 108093 can be divided by 38.

Let's proceed to step 1:
If we divide 1 by 38, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 38

On to step 2:
If we divide 10 by 38, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 38

Advancing to step 3:
When dividing 108 by 38, we get 2 with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 76 from 108 leaves us with 32.
Append the next digit (0) from the dividend to 32 and continue with: 320 / 38

Advancing to step 4:
If we divide 320 by 38, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 28.0
The remainder is 16 after subtracting 304 from 320.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 38

Moving on to step 5:
38 can be fit into 169 4 times, resulting in a remainder of 17.
Put 4 as the next digit of the answer. 
Result so far: 284.0
The remainder is 17 after subtracting 152 from 169.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 38

Advancing to step 6:
38 goes into 173 4 times with a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 2844.0
If we subtract 152 from 173, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
The number 38 fits into 210 5 times, leaving a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 2844.5
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:
When dividing 200 by 38, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 2844.55
If we take 190 away from 200, we end up 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.

After the division, we end up with 2844.55 and a remainder of 0.01.