We divide 25261 by 24
Let's see how many times 24 fits into 25261.

Going ahead to step 1:
If we divide 2 by 24, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 24

On 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
The remainder is 1 after subtracting 24 from 25.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 24

Let's proceed to step 3:
24 can be fit into 12 0 times, resulting in a remainder of 12.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 12, we get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 24

Let's proceed to step 4:
126 divided by 24 is 5 with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 105.0
Subtract 120 from 126 to get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 24

Moving on to step 5:
24 can be fit into 61 2 times, resulting in a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 1052.0
Subtracting 48 from 61 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 6:
24 can be fit into 130 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 1052.5
Subtract 120 from 130 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.

Let's proceed to step 7:
100 divided by 24 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 1052.54
If we subtract 96 from 100, we get 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:
If we divide 40 by 24, we get 1 and a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1052.541
Deduct 24 from 40 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.

Step 9:
The number 24 fits into 160 6 times, leaving a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 1052.5416
Subtract 144 from 160 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.

Step 10:
24 can be fit into 160 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 1052.54166
Subtract 144 from 160 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.

The quotient of the division is 1052.54166, and the remainder is 1.6e-05.