We're dividing 679166 by 26 
We want to figure out the number of times 679166 can be divided by 26.

Let's proceed to step 1:
The number 26 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 26

Let's proceed to step 2:
If we divide 67 by 26, we get 2 and a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 15 after subtracting 52 from 67.
Grab the next digit (9) from the dividend, add it to 15, then carry on: 159 / 26

On to step 3:
If we divide 159 by 26, we get 6 and a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
If we subtract 156 from 159, we get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 26

Step 4:
31 divided by 26 is 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 261.0
The remainder is 5 after subtracting 26 from 31.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 26

Moving on to step 5:
When dividing 56 by 26, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2612.0
The remainder is 4 after subtracting 52 from 56.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 26

Advancing to step 6:
When dividing 46 by 26, we get 1 with a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 26121.0
Subtract 26 from 46 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
If we divide 200 by 26, we get 7 and a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 26121.7
If we subtract 182 from 200, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
26 can be fit into 180 6 times, resulting in a remainder of 24.
The next digit of our result is 6. 
Result so far: 26121.76
Subtract 156 from 180 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
When dividing 240 by 26, we get 9 with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 26121.769
Deduct 234 from 240 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 10:
26 can be fit into 60 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 26121.7692
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
If we divide 80 by 26, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 26121.76923
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
20 divided by 26 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 26121.76923
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
The number 26 fits into 200 7 times, leaving a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 26121.7692307
The remainder is 18 after subtracting 182 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 14:
The number 26 fits into 180 6 times, leaving a remainder of 24.
The next digit of our result is 6. 
Result so far: 26121.76923076
The remainder is 24 after subtracting 156 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 26121.76923076 with a balance of 2.4e-08.