15038 ÷ 75 
Our goal is to divide 15038 by 75.

Going ahead to step 1:
When dividing 1 by 75, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 75

Going ahead to step 2:
15 divided by 75 is 0 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.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 75

Let's proceed to step 3:
When dividing 150 by 75, we get 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 0 after subtracting 150 from 150.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 75

Let's proceed to step 4:
The number 75 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 20.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 75

Advancing to step 5:
75 can be fit into 38 0 times, resulting in a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 200.0
If we take 0 away from 38, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 6:
75 can be fit into 380 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 200.5
Subtracting 375 from 380 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.

Let's proceed to step 7:
50 divided by 75 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 200.5
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
75 can be fit into 500 6 times, resulting in a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 200.506
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 200.5066
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 200.5066, with a leftover of 0.0005.