We look at the division of 138659 by 38 
We want to figure out the number of times 138659 can be divided by 38.

Going ahead to step 1:
If we divide 1 by 38, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 38

Let's proceed to step 2:
38 goes into 13 0 times with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 38

Moving on to step 3:
If we divide 138 by 38, we get 3 and a remainder of 24.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 114 from 138 leaves us with 24.
Grab the next digit (6) from the dividend, add it to 24, then carry on: 246 / 38

Advancing to step 4:
246 divided by 38 is 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 36.0
Subtract 228 from 246 to get 18.
Fetch the next digit (5) from the dividend, attach it to 18 and continue: 185 / 38

Advancing to step 5:
38 goes into 185 4 times with a remainder of 33.
Use 4 as the next digit of our solution. 
Result so far: 364.0
If we take 152 away from 185, we end up with 33.
Grab the next digit (9) from the dividend, add it to 33, then carry on: 339 / 38

Step 6:
38 goes into 339 8 times with a remainder of 35.
Use 8 as the next digit of our solution. 
Result so far: 3648.0
Subtracting 304 from 339 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
38 can be fit into 350 9 times, resulting in a remainder of 8.
The next digit of our result is 9. 
Result so far: 3648.9
Deduct 342 from 350 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 8:
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: 3648.92
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.

Let's proceed to step 9:
38 goes into 40 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 3648.921
Deduct 38 from 40 and we're left 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.

Advancing to step 10:
38 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 3648.921
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
The number 38 fits into 200 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 3648.92105
Subtract 190 from 200 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
38 can be fit into 100 2 times, resulting in a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 3648.921052
If we take 76 away from 100, we end up with 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 13:
When dividing 240 by 38, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 3648.9210526
If we subtract 228 from 240, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 14:
38 can be fit into 120 3 times, resulting in a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 3648.92105263
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 3648.92105263 with a balance of 6e-09.