We're dividing 17138 by 15 
We want to divide 17138 by 15.

Moving on to step 1:
1 divided by 15 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 15

Step 2:
If we divide 17 by 15, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 15 from 17 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 15

Going ahead to step 3:
15 can be fit into 21 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 15 away from 21, we end up with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 15

Moving on to step 4:
63 divided by 15 is 4 with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 114.0
Subtract 60 from 63 to get 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 15

Let's proceed to step 5:
When dividing 38 by 15, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1142.0
If we subtract 30 from 38, we get 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 6:
15 goes into 80 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 1142.5
Subtract 75 from 80 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
If we divide 50 by 15, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 1142.53
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
When dividing 50 by 15, we get 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 1142.533
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 1142.533 with a remaining 0.0005.