We look at the division of 25963683 by 261 
Our goal is to divide 25963683 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
Deduct 0 from 2 and we're left with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 261

On to step 2:
When dividing 25 by 261, we get 0 with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Take the next digit (9) from the dividend and append it to 25, then repeat: 259 / 261

Step 3:
If we divide 259 by 261, we get 0 and a remainder of 259.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 259 to get 259.
Include the next digit (6) from the dividend after 259, then repeat: 2596 / 261

Step 4:
2596 divided by 261 is 9 with a remainder of 247.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 2349 from 2596 to get 247.
Grab the next digit (3) from the dividend, add it to 247, then carry on: 2473 / 261

Step 5:
When dividing 2473 by 261, we get 9 with a remainder of 124.
The number 9 becomes the next digit in our result. 
Result so far: 99.0
The remainder is 124 after subtracting 2349 from 2473.
Grab the next digit (6) from the dividend, add it to 124, then carry on: 1246 / 261

Step 6:
If we divide 1246 by 261, we get 4 and a remainder of 202.
The next digit of our result is 4. 
Result so far: 994.0
Deduct 1044 from 1246 and we're left with 202.
Bring next digit (8) of the dividend behind the 202 and repeat the process: 2028 / 261

Step 7:
If we divide 2028 by 261, we get 7 and a remainder of 201.
Use 7 as the next digit of our solution. 
Result so far: 9947.0
Subtract 1827 from 2028 to get 201.
Grab the next digit (3) from the dividend, add it to 201, then carry on: 2013 / 261

Advancing to step 8:
When dividing 2013 by 261, we get 7 with a remainder of 186.
Record the quotient 7 as the next digit in the result. 
Result so far: 99477.0
Subtracting 1827 from 2013 leaves us with 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

Going ahead to step 9:
If we divide 1860 by 261, we get 7 and a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 99477.7
The remainder is 33 after subtracting 1827 from 1860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 10:
261 can be fit into 330 1 times, resulting in a remainder of 69.
Record the quotient 1 as the next digit in the result. 
Result so far: 99477.71
If we take 261 away from 330, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 11:
261 goes into 690 2 times with a remainder of 168.
The number 2 becomes the next digit in our result. 
Result so far: 99477.712
Subtracting 522 from 690 leaves us with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Advancing to step 12:
When dividing 1680 by 261, we get 6 with a remainder of 114.
The number 6 becomes the next digit in our result. 
Result so far: 99477.7126
Deduct 1566 from 1680 and we're left with 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

On to step 13:
The number 261 fits into 1140 4 times, leaving a remainder of 96.
Use 4 as the next digit of our solution. 
Result so far: 99477.71264
Subtract 1044 from 1140 to get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Step 14:
If we divide 960 by 261, we get 3 and a remainder of 177.
Put 3 as the next digit of the answer. 
Result so far: 99477.712643
If we take 783 away from 960, we end up with 177.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1770, and continue the process.

Advancing to step 15:
When dividing 1770 by 261, we get 6 with a remainder of 204.
Record the quotient 6 as the next digit in the result. 
Result so far: 99477.7126436
The remainder is 204 after subtracting 1566 from 1770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

Step 16:
If we divide 2040 by 261, we get 7 and a remainder of 213.
The number 7 becomes the next digit in our result. 
Result so far: 99477.71264367
The remainder is 213 after subtracting 1827 from 2040.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2130, and continue the process.

The final result is 99477.71264367 with a remainder of 2.13e-07.