We're dividing 151286 by 38 
We want to figure out the number of times 151286 can be divided by 38.

Step 1:
When dividing 1 by 38, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 38

Going ahead to step 2:
38 goes into 15 0 times with a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 38

On to step 3:
The number 38 fits into 151 3 times, leaving a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 114 from 151, we get 37.
Append the next digit (2) from the dividend to 37 and continue with: 372 / 38

Going ahead to step 4:
The number 38 fits into 372 9 times, leaving a remainder of 30.
The next digit of our result is 9. 
Result so far: 39.0
The remainder is 30 after subtracting 342 from 372.
Grab the next digit (8) from the dividend, add it to 30, then carry on: 308 / 38

On to step 5:
The number 38 fits into 308 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 398.0
Subtracting 304 from 308 leaves us with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 38

Going ahead to step 6:
46 divided by 38 is 1 with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 3981.0
Deduct 38 from 46 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.

Step 7:
The number 38 fits into 80 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 3981.2
Deduct 76 from 80 and we're left with 4.
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 8:
38 can be fit into 40 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 3981.21
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.

Going ahead to step 9:
38 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 3981.21
Deduct 0 from 20 and we're left 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.

Let's proceed to step 10:
The number 38 fits into 200 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 3981.2105
If we take 190 away from 200, we end up 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.

Going ahead to step 11:
The number 38 fits into 100 2 times, leaving a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 3981.21052
Subtracting 76 from 100 leaves us 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.

Step 12:
38 can be fit into 240 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 3981.210526
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.

Going ahead to step 13:
38 can be fit into 120 3 times, resulting in a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3981.2105263
If we take 114 away from 120, we end up 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.

Step 14:
The number 38 fits into 60 1 times, leaving a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 3981.21052631
If we subtract 38 from 60, we 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.

In conclusion, the division gives 3981.21052631 with a balance of 2.2e-08.