We look at the division of 553503 by 26 
We're looking to find how many times 26 goes into 553503.

Going ahead to step 1:
If we divide 5 by 26, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 26

Step 2:
26 can be fit into 55 2 times, resulting in a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 3 after subtracting 52 from 55.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 26

Step 3:
The number 26 fits into 33 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 21.0
If we take 26 away from 33, we end up with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 26

Let's proceed to step 4:
The number 26 fits into 75 2 times, leaving a remainder of 23.
The next digit of our result is 2. 
Result so far: 212.0
Subtracting 52 from 75 leaves us with 23.
Include the next digit (0) from the dividend after 23, then repeat: 230 / 26

Let's proceed to step 5:
26 can be fit into 230 8 times, resulting in a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 2128.0
Subtracting 208 from 230 leaves us with 22.
Fetch the next digit (3) from the dividend, attach it to 22 and continue: 223 / 26

Step 6:
223 divided by 26 is 8 with a remainder of 15.
Record the quotient 8 as the next digit in the result. 
Result so far: 21288.0
Deduct 208 from 223 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
150 divided by 26 is 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 21288.5
If we take 130 away from 150, 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.

Step 8:
26 can be fit into 200 7 times, resulting in a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 21288.57
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.

Moving on to step 9:
The number 26 fits into 180 6 times, leaving a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 21288.576
Subtracting 156 from 180 leaves us 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.

Moving on to step 10:
When dividing 240 by 26, we get 9 with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 21288.5769
If we subtract 234 from 240, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
60 divided by 26 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 21288.57692
Subtracting 52 from 60 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.

Step 12:
26 goes into 80 3 times with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 21288.576923
If we take 78 away from 80, we end up 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 13:
The number 26 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 21288.576923
Subtract 0 from 20 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.

Let's proceed to step 14:
If we divide 200 by 26, we get 7 and a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 21288.57692307
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.

Our division results in 21288.57692307 with a remaining 1.8e-08.