We look at the division of 175403 by 26 
We want to figure out the number of times 175403 can be divided by 26.

Step 1:
1 divided by 26 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 26

Advancing to step 2:
When dividing 17 by 26, we get 0 with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 26

Going ahead to step 3:
If we divide 175 by 26, we get 6 and a remainder of 19.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 156 from 175, we get 19.
Grab the next digit (4) from the dividend, add it to 19, then carry on: 194 / 26

Step 4:
If we divide 194 by 26, we get 7 and a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 67.0
The remainder is 12 after subtracting 182 from 194.
Take the next digit (0) from the dividend and append it to 12, then repeat: 120 / 26

Let's proceed to step 5:
When dividing 120 by 26, we get 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 674.0
Subtract 104 from 120 to get 16.
Take the next digit (3) from the dividend and append it to 16, then repeat: 163 / 26

Moving on to step 6:
163 divided by 26 is 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 6746.0
Subtracting 156 from 163 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
The number 26 fits into 70 2 times, leaving a remainder of 18.
The next digit of our result is 2. 
Result so far: 6746.2
Deduct 52 from 70 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.

Let's proceed to step 8:
26 goes into 180 6 times with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 6746.26
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.

On to step 9:
240 divided by 26 is 9 with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 6746.269
Subtract 234 from 240 to 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.

Going ahead to step 10:
The number 26 fits into 60 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 6746.2692
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.

On to step 11:
80 divided by 26 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 6746.26923
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.

Let's proceed to step 12:
26 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 6746.26923
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.

Advancing to step 13:
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: 6746.2692307
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.

Moving on to step 14:
180 divided by 26 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 6746.26923076
If we subtract 156 from 180, we 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.

After the division, we end up with 6746.26923076 and a remainder of 2.4e-08.