We're dividing 10255878 by 686 
We're looking to find how many times 686 goes into 10255878.

Moving on to step 1:
If we divide 1 by 686, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 686

Let's proceed to step 2:
686 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 686

Going ahead to step 3:
When dividing 102 by 686, we get 0 with a remainder of 102.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 102 leaves us with 102.
Take the next digit (5) from the dividend and append it to 102, then repeat: 1025 / 686

On to step 4:
If we divide 1025 by 686, we get 1 and a remainder of 339.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 686 from 1025, we get 339.
Bring next digit (5) of the dividend behind the 339 and repeat the process: 3395 / 686

On to step 5:
If we divide 3395 by 686, we get 4 and a remainder of 651.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtracting 2744 from 3395 leaves us with 651.
Take the next digit (8) from the dividend and append it to 651, then repeat: 6518 / 686

Going ahead to step 6:
If we divide 6518 by 686, we get 9 and a remainder of 344.
The number 9 becomes the next digit in our result. 
Result so far: 149.0
Subtract 6174 from 6518 to get 344.
Bring next digit (7) of the dividend behind the 344 and repeat the process: 3447 / 686

Going ahead to step 7:
When dividing 3447 by 686, we get 5 with a remainder of 17.
Record the quotient 5 as the next digit in the result. 
Result so far: 1495.0
If we subtract 3430 from 3447, we get 17.
Bring next digit (8) of the dividend behind the 17 and repeat the process: 178 / 686

Advancing to step 8:
If we divide 178 by 686, we get 0 and a remainder of 178.
The next digit of our result is 0. 
Result so far: 14950.0
Subtracting 0 from 178 leaves us with 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Going ahead to step 9:
686 goes into 1780 2 times with a remainder of 408.
Put 2 as the next digit of the answer. 
Result so far: 14950.2
Deduct 1372 from 1780 and we're left with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Moving on to step 10:
686 goes into 4080 5 times with a remainder of 650.
The next digit of our result is 5. 
Result so far: 14950.25
Subtract 3430 from 4080 to get 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

Let's proceed to step 11:
6500 divided by 686 is 9 with a remainder of 326.
The number 9 becomes the next digit in our result. 
Result so far: 14950.259
Subtracting 6174 from 6500 leaves us with 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Step 12:
3260 divided by 686 is 4 with a remainder of 516.
Put 4 as the next digit of the answer. 
Result so far: 14950.2594
If we subtract 2744 from 3260, we get 516.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

On to step 13:
The number 686 fits into 5160 7 times, leaving a remainder of 358.
Use 7 as the next digit of our solution. 
Result so far: 14950.25947
Subtracting 4802 from 5160 leaves us with 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

Let's proceed to step 14:
686 goes into 3580 5 times with a remainder of 150.
Write down 5 as next digit of the result. 
Result so far: 14950.259475
If we subtract 3430 from 3580, we get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Step 15:
The number 686 fits into 1500 2 times, leaving a remainder of 128.
The number 2 becomes the next digit in our result. 
Result so far: 14950.2594752
Subtract 1372 from 1500 to get 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Going ahead to step 16:
The number 686 fits into 1280 1 times, leaving a remainder of 594.
The number 1 becomes the next digit in our result. 
Result so far: 14950.25947521
Subtract 686 from 1280 to get 594.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5940, and continue the process.

After the division, we end up with 14950.25947521 and a remainder of 5.94e-07.