Let's divide 105408 by 38
Our goal is to divide 105408 by 38.

Step 1:
When dividing 1 by 38, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 38

Going ahead to step 2:
38 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 38

On to step 3:
If we divide 105 by 38, we get 2 and a remainder of 29.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 76 from 105, we get 29.
Bring next digit (4) of the dividend behind the 29 and repeat the process: 294 / 38

Moving on to step 4:
The number 38 fits into 294 7 times, leaving a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
The remainder is 28 after subtracting 266 from 294.
Fetch the next digit (0) from the dividend, attach it to 28 and continue: 280 / 38

On to step 5:
38 can be fit into 280 7 times, resulting in a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 277.0
Deduct 266 from 280 and we're left with 14.
Bring next digit (8) of the dividend behind the 14 and repeat the process: 148 / 38

On to step 6:
38 can be fit into 148 3 times, resulting in a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 2773.0
Deduct 114 from 148 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
340 divided by 38 is 8 with a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 2773.8
If we take 304 away from 340, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 8:
38 goes into 360 9 times with a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 2773.89
The remainder is 18 after subtracting 342 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
38 goes into 180 4 times with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 2773.894
Subtract 152 from 180 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
38 goes into 280 7 times with a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 2773.8947
If we take 266 away from 280, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
38 goes into 140 3 times with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 2773.89473
Subtracting 114 from 140 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 12:
38 can be fit into 260 6 times, resulting in a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 2773.894736
If we take 228 away from 260, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 13:
38 can be fit into 320 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 2773.8947368
Deduct 304 from 320 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
38 goes into 160 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 2773.89473684
If we take 152 away from 160, we end up 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.

After the division, we end up with 2773.89473684 and a remainder of 8e-09.