12565565 ÷ 676 
Let's see how many times 676 fits into 12565565.

Advancing to step 1:
If we divide 1 by 676, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 676

Going ahead to step 2:
When dividing 12 by 676, we get 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 676

Moving on to step 3:
125 divided by 676 is 0 with a remainder of 125.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 125, we get 125.
Take the next digit (6) from the dividend and append it to 125, then repeat: 1256 / 676

On to step 4:
676 goes into 1256 1 times with a remainder of 580.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 676 from 1256 to get 580.
Take the next digit (5) from the dividend and append it to 580, then repeat: 5805 / 676

Let's proceed to step 5:
676 can be fit into 5805 8 times, resulting in a remainder of 397.
Put 8 as the next digit of the answer. 
Result so far: 18.0
If we take 5408 away from 5805, we end up with 397.
Append the next digit (5) from the dividend to 397 and continue with: 3975 / 676

Going ahead to step 6:
676 can be fit into 3975 5 times, resulting in a remainder of 595.
Put 5 as the next digit of the answer. 
Result so far: 185.0
Deduct 3380 from 3975 and we're left with 595.
Grab the next digit (6) from the dividend, add it to 595, then carry on: 5956 / 676

Let's proceed to step 7:
If we divide 5956 by 676, we get 8 and a remainder of 548.
Record the quotient 8 as the next digit in the result. 
Result so far: 1858.0
The remainder is 548 after subtracting 5408 from 5956.
Append the next digit (5) from the dividend to 548 and continue with: 5485 / 676

Advancing to step 8:
676 can be fit into 5485 8 times, resulting in a remainder of 77.
Put 8 as the next digit of the answer. 
Result so far: 18588.0
Deduct 5408 from 5485 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 9:
When dividing 770 by 676, we get 1 with a remainder of 94.
Use 1 as the next digit of our solution. 
Result so far: 18588.1
Subtracting 676 from 770 leaves us with 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

On to step 10:
940 divided by 676 is 1 with a remainder of 264.
Write down 1 as next digit of the result. 
Result so far: 18588.11
If we subtract 676 from 940, we get 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

The quotient of the division is 18588.11, and the remainder is 0.264.