We look at the division of 25393743 by 259 
Our goal is to divide 25393743 by 259.

Step 1:
If we divide 2 by 259, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 259

Moving on to step 2:
25 divided by 259 is 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 259

On to step 3:
259 goes into 253 0 times with a remainder of 253.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 253 after subtracting 0 from 253.
Fetch the next digit (9) from the dividend, attach it to 253 and continue: 2539 / 259

Going ahead to step 4:
When dividing 2539 by 259, we get 9 with a remainder of 208.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 2331 from 2539 to get 208.
Grab the next digit (3) from the dividend, add it to 208, then carry on: 2083 / 259

Let's proceed to step 5:
259 can be fit into 2083 8 times, resulting in a remainder of 11.
Use 8 as the next digit of our solution. 
Result so far: 98.0
Subtracting 2072 from 2083 leaves us with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 259

Going ahead to step 6:
The number 259 fits into 117 0 times, leaving a remainder of 117.
Put 0 as the next digit of the answer. 
Result so far: 980.0
If we subtract 0 from 117, we get 117.
Take the next digit (4) from the dividend and append it to 117, then repeat: 1174 / 259

Advancing to step 7:
1174 divided by 259 is 4 with a remainder of 138.
The next digit of our result is 4. 
Result so far: 9804.0
Deduct 1036 from 1174 and we're left with 138.
Append the next digit (3) from the dividend to 138 and continue with: 1383 / 259

Step 8:
259 can be fit into 1383 5 times, resulting in a remainder of 88.
The number 5 becomes the next digit in our result. 
Result so far: 98045.0
Subtracting 1295 from 1383 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 9:
259 goes into 880 3 times with a remainder of 103.
The next digit of our result is 3. 
Result so far: 98045.3
If we subtract 777 from 880, we get 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Moving on to step 10:
When dividing 1030 by 259, we get 3 with a remainder of 253.
Record the quotient 3 as the next digit in the result. 
Result so far: 98045.33
Deduct 777 from 1030 and we're left with 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

The quotient of the division is 98045.33, and the remainder is 0.253.