We look at the division of 101184 by 38 
We're looking to find how many times 38 goes into 101184.

Going ahead to step 1:
38 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 38

Let's proceed to step 2:
38 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 38

Advancing to step 3:
If we divide 101 by 38, we get 2 and a remainder of 25.
The next digit of our result is 2. 
Result so far: 2.0
If we take 76 away from 101, we end up with 25.
Fetch the next digit (1) from the dividend, attach it to 25 and continue: 251 / 38

Step 4:
If we divide 251 by 38, we get 6 and a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Subtracting 228 from 251 leaves us with 23.
Include the next digit (8) from the dividend after 23, then repeat: 238 / 38

Advancing to step 5:
If we divide 238 by 38, we get 6 and a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 266.0
The remainder is 10 after subtracting 228 from 238.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 38

Moving on to step 6:
38 can be fit into 104 2 times, resulting in a remainder of 28.
The next digit of our result is 2. 
Result so far: 2662.0
The remainder is 28 after subtracting 76 from 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 7:
When dividing 280 by 38, we get 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 2662.7
If we subtract 266 from 280, we get 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 8:
38 can be fit into 140 3 times, resulting in a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 2662.73
If we take 114 away from 140, we end up 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.

Going ahead to step 9:
When dividing 260 by 38, we get 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 2662.736
The remainder is 32 after subtracting 228 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
The number 38 fits into 320 8 times, leaving a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 2662.7368
If we take 304 away from 320, we end up 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.

Going ahead to step 11:
38 goes into 160 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 2662.73684
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
When dividing 80 by 38, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 2662.736842
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
The number 38 fits into 40 1 times, leaving a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 2662.7368421
Subtracting 38 from 40 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 14:
If we divide 20 by 38, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 2662.7368421
If we take 0 away from 20, we end up 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.

The final result is 2662.7368421 with a remainder of 2e-08.