We're dividing 115586 by 16 
Let's see how many times 16 fits into 115586.

Advancing to step 1:
The number 16 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 16

Going ahead to step 2:
16 goes into 11 0 times with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 16

Advancing to step 3:
115 divided by 16 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 112 away from 115, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 16

On to step 4:
35 divided by 16 is 2 with a remainder of 3.
The next digit of our result is 2. 
Result so far: 72.0
Deduct 32 from 35 and we're left with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 16

Let's proceed to step 5:
16 goes into 38 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 722.0
If we take 32 away from 38, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 16

Let's proceed to step 6:
When dividing 66 by 16, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 7224.0
If we subtract 64 from 66, we 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.

Going ahead to step 7:
The number 16 fits into 20 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 7224.1
If we take 16 away from 20, we end up 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.

Going ahead to step 8:
When dividing 40 by 16, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 7224.12
If we subtract 32 from 40, 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.

Moving on to step 9:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 7224.125
Subtracting 80 from 80 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.

Advancing to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 7224.125
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 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 7224.125
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 7224.125 with a remainder of 0.0.