25579183 ÷ 278 
We want to figure out the number of times 25579183 can be divided by 278.

Step 1:
278 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
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 278

Advancing to step 2:
When dividing 25 by 278, we get 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Grab the next digit (5) from the dividend, add it to 25, then carry on: 255 / 278

Let's proceed to step 3:
278 goes into 255 0 times with a remainder of 255.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 255 to get 255.
Take the next digit (7) from the dividend and append it to 255, then repeat: 2557 / 278

Let's proceed to step 4:
2557 divided by 278 is 9 with a remainder of 55.
Put 9 as the next digit of the answer. 
Result so far: 9.0
The remainder is 55 after subtracting 2502 from 2557.
Include the next digit (9) from the dividend after 55, then repeat: 559 / 278

Let's proceed to step 5:
The number 278 fits into 559 2 times, leaving a remainder of 3.
The next digit of our result is 2. 
Result so far: 92.0
The remainder is 3 after subtracting 556 from 559.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 278

Moving on to step 6:
If we divide 31 by 278, we get 0 and a remainder of 31.
The next digit of our result is 0. 
Result so far: 920.0
If we take 0 away from 31, we end up with 31.
Append the next digit (8) from the dividend to 31 and continue with: 318 / 278

Going ahead to step 7:
If we divide 318 by 278, we get 1 and a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 9201.0
If we take 278 away from 318, we end up with 40.
Fetch the next digit (3) from the dividend, attach it to 40 and continue: 403 / 278

Going ahead to step 8:
If we divide 403 by 278, we get 1 and a remainder of 125.
Use 1 as the next digit of our solution. 
Result so far: 92011.0
The remainder is 125 after subtracting 278 from 403.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

On to step 9:
If we divide 1250 by 278, we get 4 and a remainder of 138.
Use 4 as the next digit of our solution. 
Result so far: 92011.4
If we subtract 1112 from 1250, we get 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Advancing to step 10:
If we divide 1380 by 278, we get 4 and a remainder of 268.
Record the quotient 4 as the next digit in the result. 
Result so far: 92011.44
Deduct 1112 from 1380 and we're left with 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

In conclusion, the division gives 92011.44 with a balance of 0.268.