159665 divided by 38 
We want to figure out the number of times 159665 can be divided by 38.

Advancing to step 1:
1 divided by 38 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 38

Advancing to step 2:
15 divided by 38 is 0 with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 38

Step 3:
159 divided by 38 is 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 152 from 159 and we're left with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 38

On to step 4:
38 can be fit into 76 2 times, resulting in a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 42.0
The remainder is 0 after subtracting 76 from 76.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 38

Going ahead to step 5:
The number 38 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 420.0
If we subtract 0 from 6, we get 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 38

Moving on to step 6:
38 goes into 65 1 times with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 4201.0
If we take 38 away from 65, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 7:
38 can be fit into 270 7 times, resulting in a remainder of 4.
The next digit of our result is 7. 
Result so far: 4201.7
If we subtract 266 from 270, 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.

Step 8:
The number 38 fits into 40 1 times, leaving a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 4201.71
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On 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: 4201.71
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.

Moving on to step 10:
38 goes into 200 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 4201.7105
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.

Moving on to 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: 4201.71052
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.

Advancing to step 12:
If we divide 240 by 38, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 4201.710526
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.

Let's proceed to step 13:
The number 38 fits into 120 3 times, leaving a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 4201.7105263
The remainder is 6 after subtracting 114 from 120.
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 goes into 60 1 times with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 4201.71052631
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.

The final result is 4201.71052631 with a remainder of 2.2e-08.