We're dividing 802577 by 26 
We want to figure out the number of times 802577 can be divided by 26.

Step 1:
26 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 26

Moving on to step 2:
The number 26 fits into 80 3 times, leaving a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 78 away from 80, we end up with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 26

Advancing to step 3:
If we divide 22 by 26, we get 0 and a remainder of 22.
The next digit of our result is 0. 
Result so far: 30.0
Deduct 0 from 22 and we're left with 22.
Bring next digit (5) of the dividend behind the 22 and repeat the process: 225 / 26

Going ahead to step 4:
26 goes into 225 8 times with a remainder of 17.
The next digit of our result is 8. 
Result so far: 308.0
The remainder is 17 after subtracting 208 from 225.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 26

Going ahead to step 5:
177 divided by 26 is 6 with a remainder of 21.
Put 6 as the next digit of the answer. 
Result so far: 3086.0
If we take 156 away from 177, we end up with 21.
Take the next digit (7) from the dividend and append it to 21, then repeat: 217 / 26

Let's proceed to step 6:
26 goes into 217 8 times with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 30868.0
Deduct 208 from 217 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
90 divided by 26 is 3 with a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 30868.3
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
If we divide 120 by 26, we get 4 and a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 30868.34
If we take 104 away from 120, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
160 divided by 26 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 30868.346
If we take 156 away from 160, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
When dividing 40 by 26, we get 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 30868.3461
Deduct 26 from 40 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
26 can be fit into 140 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 30868.34615
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.

Advancing to step 12:
The number 26 fits into 100 3 times, leaving a remainder of 22.
The next digit of our result is 3. 
Result so far: 30868.346153
If we take 78 away from 100, we end up 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.

On to step 13:
26 goes into 220 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 30868.3461538
If we take 208 away from 220, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 14:
The number 26 fits into 120 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 30868.34615384
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 quotient of the division is 30868.34615384, and the remainder is 1.6e-08.