We look at the division of 509466 by 26 
We want to figure out the number of times 509466 can be divided by 26.

Advancing to step 1:
When dividing 5 by 26, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 26

Step 2:
26 goes into 50 1 times with a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 26 from 50 leaves us with 24.
Take the next digit (9) from the dividend and append it to 24, then repeat: 249 / 26

Moving on to step 3:
If we divide 249 by 26, we get 9 and a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we take 234 away from 249, we end up with 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 26

Advancing to step 4:
26 goes into 154 5 times with a remainder of 24.
The next digit of our result is 5. 
Result so far: 195.0
Subtracting 130 from 154 leaves us with 24.
Fetch the next digit (6) from the dividend, attach it to 24 and continue: 246 / 26

Advancing to step 5:
If we divide 246 by 26, we get 9 and a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 1959.0
Deduct 234 from 246 and we're left with 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 26

Advancing to step 6:
If we divide 126 by 26, we get 4 and a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 19594.0
The remainder is 22 after subtracting 104 from 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 7:
26 goes into 220 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 19594.8
Subtract 208 from 220 to 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.

Going ahead to step 8:
26 goes into 120 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 19594.84
If we subtract 104 from 120, we 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 9:
If we divide 160 by 26, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 19594.846
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.

Advancing to step 10:
The number 26 fits into 40 1 times, leaving a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 19594.8461
Subtract 26 from 40 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 11:
26 goes into 140 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 19594.84615
Subtracting 130 from 140 leaves us with 10.
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 12:
100 divided by 26 is 3 with a remainder of 22.
The next digit of our result is 3. 
Result so far: 19594.846153
Subtracting 78 from 100 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 13:
The number 26 fits into 220 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 19594.8461538
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.

On to step 14:
When dividing 120 by 26, we get 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 19594.84615384
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.

The final result is 19594.84615384 with a remainder of 1.6e-08.