We look at the division of 25308676 by 879 
We want to divide 25308676 by 879.

Step 1:
When dividing 2 by 879, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
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 / 879

On to step 2:
The number 879 fits into 25 0 times, leaving 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.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 879

Step 3:
If we divide 253 by 879, we get 0 and a remainder of 253.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 253, we get 253.
Append the next digit (0) from the dividend to 253 and continue with: 2530 / 879

Moving on to step 4:
879 goes into 2530 2 times with a remainder of 772.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 1758 from 2530, we get 772.
Grab the next digit (8) from the dividend, add it to 772, then carry on: 7728 / 879

Advancing to step 5:
879 can be fit into 7728 8 times, resulting in a remainder of 696.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
Deduct 7032 from 7728 and we're left with 696.
Take the next digit (6) from the dividend and append it to 696, then repeat: 6966 / 879

On to step 6:
The number 879 fits into 6966 7 times, leaving a remainder of 813.
Use 7 as the next digit of our solution. 
Result so far: 287.0
Subtract 6153 from 6966 to get 813.
Include the next digit (7) from the dividend after 813, then repeat: 8137 / 879

Advancing to step 7:
879 can be fit into 8137 9 times, resulting in a remainder of 226.
Record the quotient 9 as the next digit in the result. 
Result so far: 2879.0
The remainder is 226 after subtracting 7911 from 8137.
Grab the next digit (6) from the dividend, add it to 226, then carry on: 2266 / 879

Step 8:
When dividing 2266 by 879, we get 2 with a remainder of 508.
The next digit of our result is 2. 
Result so far: 28792.0
Deduct 1758 from 2266 and we're left with 508.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5080, and continue the process.

Let's proceed to step 9:
879 goes into 5080 5 times with a remainder of 685.
Put 5 as the next digit of the answer. 
Result so far: 28792.5
If we take 4395 away from 5080, we end up with 685.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6850, and continue the process.

Going ahead to step 10:
If we divide 6850 by 879, we get 7 and a remainder of 697.
The next digit of our result is 7. 
Result so far: 28792.57
Deduct 6153 from 6850 and we're left with 697.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6970, and continue the process.

Let's proceed to step 11:
6970 divided by 879 is 7 with a remainder of 817.
Put 7 as the next digit of the answer. 
Result so far: 28792.577
If we subtract 6153 from 6970, we get 817.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8170, and continue the process.

The quotient of the division is 28792.577, and the remainder is 0.0817.