We're dividing 25362259 by 261 
Our goal is to divide 25362259 by 261.

Let's proceed to step 1:
261 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 261

Step 2:
The number 261 fits into 25 0 times, leaving a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 261

Step 3:
261 goes into 253 0 times with a remainder of 253.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 253 leaves us with 253.
Include the next digit (6) from the dividend after 253, then repeat: 2536 / 261

Moving on to step 4:
2536 divided by 261 is 9 with a remainder of 187.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 2349 from 2536 leaves us with 187.
Include the next digit (2) from the dividend after 187, then repeat: 1872 / 261

Let's proceed to step 5:
1872 divided by 261 is 7 with a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 97.0
Deduct 1827 from 1872 and we're left with 45.
Append the next digit (2) from the dividend to 45 and continue with: 452 / 261

Step 6:
If we divide 452 by 261, we get 1 and a remainder of 191.
Write down 1 as next digit of the result. 
Result so far: 971.0
If we take 261 away from 452, we end up with 191.
Bring next digit (5) of the dividend behind the 191 and repeat the process: 1915 / 261

Moving on to step 7:
If we divide 1915 by 261, we get 7 and a remainder of 88.
The next digit of our result is 7. 
Result so far: 9717.0
If we take 1827 away from 1915, we end up with 88.
Take the next digit (9) from the dividend and append it to 88, then repeat: 889 / 261

Step 8:
If we divide 889 by 261, we get 3 and a remainder of 106.
The number 3 becomes the next digit in our result. 
Result so far: 97173.0
If we subtract 783 from 889, we get 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Advancing to step 9:
1060 divided by 261 is 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 97173.4
The remainder is 16 after subtracting 1044 from 1060.
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 10:
When dividing 160 by 261, we get 0 with a remainder of 160.
Write down 0 as next digit of the result. 
Result so far: 97173.4
Subtracting 0 from 160 leaves us with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Moving on to step 11:
When dividing 1600 by 261, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 97173.406
The remainder is 34 after subtracting 1566 from 1600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 12:
261 goes into 340 1 times with a remainder of 79.
Use 1 as the next digit of our solution. 
Result so far: 97173.4061
Subtract 261 from 340 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 13:
When dividing 790 by 261, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 97173.40613
Subtract 783 from 790 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
The number 261 fits into 70 0 times, leaving a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 97173.40613
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 15:
The number 261 fits into 700 2 times, leaving a remainder of 178.
The next digit of our result is 2. 
Result so far: 97173.4061302
The remainder is 178 after subtracting 522 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Step 16:
When dividing 1780 by 261, we get 6 with a remainder of 214.
Record the quotient 6 as the next digit in the result. 
Result so far: 97173.40613026
If we subtract 1566 from 1780, we get 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

After the division, we end up with 97173.40613026 and a remainder of 2.14e-07.