We look at the division of 25925686 by 269 
Our goal is to divide 25925686 by 269.

Let's proceed to step 1:
The number 269 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 269

Let's proceed to step 2:
If we divide 25 by 269, we get 0 and a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Take the next digit (9) from the dividend and append it to 25, then repeat: 259 / 269

Step 3:
If we divide 259 by 269, we get 0 and a remainder of 259.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 259 to get 259.
Fetch the next digit (2) from the dividend, attach it to 259 and continue: 2592 / 269

Going ahead to step 4:
2592 divided by 269 is 9 with a remainder of 171.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 2421 from 2592, we get 171.
Include the next digit (5) from the dividend after 171, then repeat: 1715 / 269

Step 5:
1715 divided by 269 is 6 with a remainder of 101.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
Deduct 1614 from 1715 and we're left with 101.
Grab the next digit (6) from the dividend, add it to 101, then carry on: 1016 / 269

Going ahead to step 6:
The number 269 fits into 1016 3 times, leaving a remainder of 209.
The number 3 becomes the next digit in our result. 
Result so far: 963.0
Deduct 807 from 1016 and we're left with 209.
Bring next digit (8) of the dividend behind the 209 and repeat the process: 2098 / 269

Advancing to step 7:
2098 divided by 269 is 7 with a remainder of 215.
Record the quotient 7 as the next digit in the result. 
Result so far: 9637.0
If we subtract 1883 from 2098, we get 215.
Include the next digit (6) from the dividend after 215, then repeat: 2156 / 269

Going ahead to step 8:
When dividing 2156 by 269, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 96378.0
Subtract 2152 from 2156 to 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.

Let's proceed to step 9:
If we divide 40 by 269, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 96378.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
When dividing 400 by 269, we get 1 with a remainder of 131.
Write down 1 as next digit of the result. 
Result so far: 96378.01
Deduct 269 from 400 and we're left with 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Moving on to step 11:
The number 269 fits into 1310 4 times, leaving a remainder of 234.
Use 4 as the next digit of our solution. 
Result so far: 96378.014
If we subtract 1076 from 1310, we get 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

Let's proceed to step 12:
When dividing 2340 by 269, we get 8 with a remainder of 188.
Use 8 as the next digit of our solution. 
Result so far: 96378.0148
The remainder is 188 after subtracting 2152 from 2340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

Step 13:
If we divide 1880 by 269, we get 6 and a remainder of 266.
Write down 6 as next digit of the result. 
Result so far: 96378.01486
The remainder is 266 after subtracting 1614 from 1880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

Step 14:
When dividing 2660 by 269, we get 9 with a remainder of 239.
Put 9 as the next digit of the answer. 
Result so far: 96378.014869
The remainder is 239 after subtracting 2421 from 2660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2390, and continue the process.

Going ahead to step 15:
The number 269 fits into 2390 8 times, leaving a remainder of 238.
Record the quotient 8 as the next digit in the result. 
Result so far: 96378.0148698
Deduct 2152 from 2390 and we're left with 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

Advancing to step 16:
269 can be fit into 2380 8 times, resulting in a remainder of 228.
Put 8 as the next digit of the answer. 
Result so far: 96378.01486988
The remainder is 228 after subtracting 2152 from 2380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

Our division results in 96378.01486988 with a remaining 2.28e-07.