5202577 ÷ 512 
Let's see how many times 512 fits into 5202577.

Let's proceed to step 1:
The number 512 fits into 5 0 times, leaving 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 (2) from the dividend and append it to 5, then repeat: 52 / 512

Step 2:
52 divided by 512 is 0 with a remainder of 52.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 52 after subtracting 0 from 52.
Take the next digit (0) from the dividend and append it to 52, then repeat: 520 / 512

On to step 3:
When dividing 520 by 512, we get 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 512 from 520, we get 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 512

On to step 4:
512 can be fit into 82 0 times, resulting in a remainder of 82.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 82 and we're left with 82.
Take the next digit (5) from the dividend and append it to 82, then repeat: 825 / 512

Advancing to step 5:
If we divide 825 by 512, we get 1 and a remainder of 313.
Write down 1 as next digit of the result. 
Result so far: 101.0
If we subtract 512 from 825, we get 313.
Append the next digit (7) from the dividend to 313 and continue with: 3137 / 512

Going ahead to step 6:
3137 divided by 512 is 6 with a remainder of 65.
Record the quotient 6 as the next digit in the result. 
Result so far: 1016.0
The remainder is 65 after subtracting 3072 from 3137.
Include the next digit (7) from the dividend after 65, then repeat: 657 / 512

Moving on to step 7:
512 goes into 657 1 times with a remainder of 145.
The next digit of our result is 1. 
Result so far: 10161.0
If we take 512 away from 657, we end up with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Let's proceed to step 8:
The number 512 fits into 1450 2 times, leaving a remainder of 426.
Record the quotient 2 as the next digit in the result. 
Result so far: 10161.2
Subtracting 1024 from 1450 leaves us with 426.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4260, and continue the process.

Going ahead to step 9:
When dividing 4260 by 512, we get 8 with a remainder of 164.
Write down 8 as next digit of the result. 
Result so far: 10161.28
Deduct 4096 from 4260 and we're left with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

On to step 10:
The number 512 fits into 1640 3 times, leaving a remainder of 104.
The next digit of our result is 3. 
Result so far: 10161.283
Deduct 1536 from 1640 and we're left with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Let's proceed to step 11:
512 can be fit into 1040 2 times, resulting in a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 10161.2832
Deduct 1024 from 1040 and we're left 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.

Moving on to step 12:
If we divide 160 by 512, we get 0 and a remainder of 160.
Use 0 as the next digit of our solution. 
Result so far: 10161.2832
If we take 0 away from 160, we end up with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Advancing to step 13:
1600 divided by 512 is 3 with a remainder of 64.
Record the quotient 3 as the next digit in the result. 
Result so far: 10161.283203
If we take 1536 away from 1600, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 14:
The number 512 fits into 640 1 times, leaving a remainder of 128.
Write down 1 as next digit of the result. 
Result so far: 10161.2832031
Subtract 512 from 640 to get 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Going ahead to step 15:
If we divide 1280 by 512, we get 2 and a remainder of 256.
Put 2 as the next digit of the answer. 
Result so far: 10161.28320312
Subtract 1024 from 1280 to get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

The final result is 10161.28320312 with a remainder of 2.56e-07.