9538 ÷ 2 
Our goal is to divide 9538 by 2.

Advancing to step 1:
When dividing 9 by 2, we get 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 8 from 9 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 2

Advancing to step 2:
2 goes into 15 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 47.0
Subtract 14 from 15 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 2

Advancing to step 3:
13 divided by 2 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 476.0
If we take 12 away from 13, we end up with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 2

Going ahead to step 4:
2 goes into 18 9 times with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 4769.0
Subtracting 18 from 18 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 5:
0 divided by 2 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4769.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 6:
The number 2 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4769.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 4769.0 with a balance of 0.0.