We're dividing 259 by 24 
We want to figure out the number of times 259 can be divided by 24.

Going ahead to step 1:
24 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 24

Let's proceed to step 2:
25 divided by 24 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 24 from 25, we get 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 24

Advancing to step 3:
The number 24 fits into 19 0 times, leaving a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 19 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 4:
24 goes into 190 7 times with a remainder of 22.
The next digit of our result is 7. 
Result so far: 10.7
Deduct 168 from 190 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 5:
The number 24 fits into 220 9 times, leaving a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 10.79
The remainder is 4 after subtracting 216 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 6:
The number 24 fits into 40 1 times, leaving a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 10.791
If we subtract 24 from 40, we 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 7:
24 can be fit into 160 6 times, resulting in a remainder of 16.
The next digit of our result is 6. 
Result so far: 10.7916
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.

Advancing to step 8:
160 divided by 24 is 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 10.79166
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.

The final result is 10.79166 with a remainder of 1.6e-05.