We're dividing 151288 by 38 
We want to figure out the number of times 151288 can be divided by 38.

Advancing to step 1:
38 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 38

Advancing to step 2:
If we divide 15 by 38, we get 0 and a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 38

On to step 3:
38 can be fit into 151 3 times, resulting in a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 114 from 151 to get 37.
Bring next digit (2) of the dividend behind the 37 and repeat the process: 372 / 38

On to step 4:
When dividing 372 by 38, we get 9 with a remainder of 30.
Record the quotient 9 as the next digit in the result. 
Result so far: 39.0
If we take 342 away from 372, we end up with 30.
Append the next digit (8) from the dividend to 30 and continue with: 308 / 38

Advancing to step 5:
38 can be fit into 308 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 398.0
If we take 304 away from 308, we end up with 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 38

Advancing to step 6:
If we divide 48 by 38, we get 1 and a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 3981.0
Subtracting 38 from 48 leaves us 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.

Step 7:
38 can be fit into 100 2 times, resulting in a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 3981.2
The remainder is 24 after subtracting 76 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
38 can be fit into 240 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 3981.26
If we take 228 away from 240, we end up 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.

Step 9:
If we divide 120 by 38, we get 3 and a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 3981.263
Subtract 114 from 120 to 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.

On to step 10:
38 goes into 60 1 times with a remainder of 22.
The next digit of our result is 1. 
Result so far: 3981.2631
If we take 38 away from 60, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 11:
38 goes into 220 5 times with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 3981.26315
If we take 190 away from 220, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
The number 38 fits into 300 7 times, leaving a remainder of 34.
The next digit of our result is 7. 
Result so far: 3981.263157
Deduct 266 from 300 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 13:
38 can be fit into 340 8 times, resulting in a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 3981.2631578
If we subtract 304 from 340, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 14:
360 divided by 38 is 9 with a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 3981.26315789
Subtract 342 from 360 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 3981.26315789 with a remainder of 1.8e-08.