We're dividing 556590 by 26 
We want to figure out the number of times 556590 can be divided by 26.

Step 1:
If we divide 5 by 26, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 26

On to step 2:
When dividing 55 by 26, we get 2 with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 52 from 55 and we're left with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 26

Advancing to step 3:
26 goes into 36 1 times with a remainder of 10.
The next digit of our result is 1. 
Result so far: 21.0
Subtract 26 from 36 to get 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 26

Moving on to step 4:
26 goes into 105 4 times with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 214.0
The remainder is 1 after subtracting 104 from 105.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 26

Step 5:
26 can be fit into 19 0 times, resulting in a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 2140.0
Subtract 0 from 19 to get 19.
Bring next digit (0) of the dividend behind the 19 and repeat the process: 190 / 26

Let's proceed to step 6:
26 goes into 190 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 21407.0
Subtracting 182 from 190 leaves us 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.

Let's proceed to step 7:
The number 26 fits into 80 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 21407.3
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
26 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 21407.3
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
200 divided by 26 is 7 with a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 21407.307
Deduct 182 from 200 and we're left with 18.
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 10:
26 can be fit into 180 6 times, resulting in a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 21407.3076
Deduct 156 from 180 and we're left with 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 11:
26 can be fit into 240 9 times, resulting in a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 21407.30769
The remainder is 6 after subtracting 234 from 240.
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 12:
26 goes into 60 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 21407.307692
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
When dividing 80 by 26, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 21407.3076923
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
26 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 21407.3076923
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 21407.3076923, with a leftover of 2e-08.