We look at the division of 75824 by 26 
We're looking to find how many times 26 goes into 75824.

Step 1:
7 divided by 26 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 26

Step 2:
When dividing 75 by 26, we get 2 with a remainder of 23.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 52 from 75, we get 23.
Grab the next digit (8) from the dividend, add it to 23, then carry on: 238 / 26

Advancing to step 3:
When dividing 238 by 26, we get 9 with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 29.0
Subtracting 234 from 238 leaves us with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 26

Moving on to step 4:
26 can be fit into 42 1 times, resulting in a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 291.0
If we subtract 26 from 42, we get 16.
Append the next digit (4) from the dividend to 16 and continue with: 164 / 26

Moving on to step 5:
When dividing 164 by 26, we get 6 with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 2916.0
Deduct 156 from 164 and we're left 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 6:
The number 26 fits into 80 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 2916.3
The remainder is 2 after subtracting 78 from 80.
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 7:
26 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 2916.3
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.

Advancing to step 8:
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: 2916.307
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.

On to step 9:
180 divided by 26 is 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 2916.3076
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.

Advancing to step 10:
26 can be fit into 240 9 times, resulting in a remainder of 6.
The next digit of our result is 9. 
Result so far: 2916.30769
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 11:
When dividing 60 by 26, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 2916.307692
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.

On to step 12:
When dividing 80 by 26, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 2916.3076923
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.

Going ahead to step 13:
The number 26 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 2916.3076923
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.

Our division results in 2916.3076923 with a remaining 2e-08.