We look at the division of 25618098 by 686 
We want to divide 25618098 by 686.

On to step 1:
When dividing 2 by 686, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 686

Moving on to step 2:
The number 686 fits into 25 0 times, leaving a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 686

Advancing to step 3:
256 divided by 686 is 0 with a remainder of 256.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 256, we get 256.
Take the next digit (1) from the dividend and append it to 256, then repeat: 2561 / 686

Step 4:
686 can be fit into 2561 3 times, resulting in a remainder of 503.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 2058 from 2561, we get 503.
Bring next digit (8) of the dividend behind the 503 and repeat the process: 5038 / 686

On to step 5:
If we divide 5038 by 686, we get 7 and a remainder of 236.
Use 7 as the next digit of our solution. 
Result so far: 37.0
If we take 4802 away from 5038, we end up with 236.
Grab the next digit (0) from the dividend, add it to 236, then carry on: 2360 / 686

On to step 6:
686 goes into 2360 3 times with a remainder of 302.
The number 3 becomes the next digit in our result. 
Result so far: 373.0
If we subtract 2058 from 2360, we get 302.
Take the next digit (9) from the dividend and append it to 302, then repeat: 3029 / 686

Step 7:
If we divide 3029 by 686, we get 4 and a remainder of 285.
Record the quotient 4 as the next digit in the result. 
Result so far: 3734.0
Subtracting 2744 from 3029 leaves us with 285.
Append the next digit (8) from the dividend to 285 and continue with: 2858 / 686

Advancing to step 8:
If we divide 2858 by 686, we get 4 and a remainder of 114.
Use 4 as the next digit of our solution. 
Result so far: 37344.0
Deduct 2744 from 2858 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.

Advancing to step 9:
686 goes into 1140 1 times with a remainder of 454.
Record the quotient 1 as the next digit in the result. 
Result so far: 37344.1
Subtracting 686 from 1140 leaves us with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Going ahead to step 10:
686 goes into 4540 6 times with a remainder of 424.
Put 6 as the next digit of the answer. 
Result so far: 37344.16
Deduct 4116 from 4540 and we're left with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

Step 11:
4240 divided by 686 is 6 with a remainder of 124.
The next digit of our result is 6. 
Result so far: 37344.166
If we subtract 4116 from 4240, we get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Our division results in 37344.166 with a remaining 0.0124.