We look at the division of 686178 by 26 
We're looking to find how many times 26 goes into 686178.

Going ahead to step 1:
The number 26 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 26

On to step 2:
26 can be fit into 68 2 times, resulting in a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 16 after subtracting 52 from 68.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 26

Advancing to step 3:
26 goes into 166 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
If we take 156 away from 166, we end up with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 26

Advancing to step 4:
The number 26 fits into 101 3 times, leaving a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 263.0
Deduct 78 from 101 and we're left with 23.
Bring next digit (7) of the dividend behind the 23 and repeat the process: 237 / 26

Step 5:
26 can be fit into 237 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 2639.0
The remainder is 3 after subtracting 234 from 237.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 26

Step 6:
The number 26 fits into 38 1 times, leaving a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 26391.0
If we subtract 26 from 38, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
120 divided by 26 is 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 26391.4
Subtracting 104 from 120 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
26 can be fit into 160 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 26391.46
The remainder is 4 after subtracting 156 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
26 can be fit into 40 1 times, resulting in a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 26391.461
The remainder is 14 after subtracting 26 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
140 divided by 26 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 26391.4615
The remainder is 10 after subtracting 130 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
26 can be fit into 100 3 times, resulting in a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 26391.46153
Subtract 78 from 100 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 12:
The number 26 fits into 220 8 times, leaving a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 26391.461538
The remainder is 12 after subtracting 208 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
When dividing 120 by 26, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 26391.4615384
Subtract 104 from 120 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
The number 26 fits into 160 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 26391.46153846
Deduct 156 from 160 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 26391.46153846 with a remaining 4e-09.