We're dividing 138784 by 38 
We're looking to find how many times 38 goes into 138784.

Advancing to step 1:
When dividing 1 by 38, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 38

Going ahead to step 2:
The number 38 fits into 13 0 times, leaving a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 38

Advancing to step 3:
138 divided by 38 is 3 with a remainder of 24.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 114 from 138 leaves us with 24.
Bring next digit (7) of the dividend behind the 24 and repeat the process: 247 / 38

Step 4:
If we divide 247 by 38, we get 6 and a remainder of 19.
The next digit of our result is 6. 
Result so far: 36.0
If we take 228 away from 247, we end up with 19.
Append the next digit (8) from the dividend to 19 and continue with: 198 / 38

Let's proceed to step 5:
198 divided by 38 is 5 with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 365.0
Subtract 190 from 198 to get 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 38

Going ahead to step 6:
84 divided by 38 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 3652.0
Deduct 76 from 84 and we're left 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.

Moving on to step 7:
80 divided by 38 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 3652.2
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
40 divided by 38 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 3652.21
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
The number 38 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 3652.21
Subtracting 0 from 20 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 10:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 3652.2105
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
When dividing 100 by 38, we get 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 3652.21052
Subtract 76 from 100 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
The number 38 fits into 240 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 3652.210526
Subtracting 228 from 240 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
The number 38 fits into 120 3 times, leaving a remainder of 6.
The next digit of our result is 3. 
Result so far: 3652.2105263
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 14:
38 can be fit into 60 1 times, resulting in a remainder of 22.
The next digit of our result is 1. 
Result so far: 3652.21052631
Subtract 38 from 60 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

After the division, we end up with 3652.21052631 and a remainder of 2.2e-08.