We look at the division of 126514 by 24 
We're looking to find how many times 24 goes into 126514.

Moving on to step 1:
When dividing 1 by 24, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 24

Step 2:
24 can be fit into 12 0 times, resulting in a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 24

Moving on to step 3:
If we divide 126 by 24, we get 5 and a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 120 from 126 leaves us with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 24

On to step 4:
24 can be fit into 65 2 times, resulting in a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 52.0
The remainder is 17 after subtracting 48 from 65.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 24

Going ahead to step 5:
24 can be fit into 171 7 times, resulting in a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 527.0
Subtracting 168 from 171 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 24

On to step 6:
24 can be fit into 34 1 times, resulting in a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 5271.0
Subtract 24 from 34 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.

On to step 7:
If we divide 100 by 24, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 5271.4
Subtracting 96 from 100 leaves us 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.

Step 8:
The number 24 fits into 40 1 times, leaving a remainder of 16.
The next digit of our result is 1. 
Result so far: 5271.41
Subtract 24 from 40 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
24 can be fit into 160 6 times, resulting in a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 5271.416
Subtracting 144 from 160 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
24 goes into 160 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 5271.4166
Deduct 144 from 160 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final outcome is 5271.4166, with a leftover of 0.00016.