82577 ÷ 52 
We want to figure out the number of times 82577 can be divided by 52.

Going ahead to step 1:
The number 52 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 52

Let's proceed to step 2:
52 can be fit into 82 1 times, resulting in a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 30 after subtracting 52 from 82.
Append the next digit (5) from the dividend to 30 and continue with: 305 / 52

Step 3:
If we divide 305 by 52, we get 5 and a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtracting 260 from 305 leaves us with 45.
Include the next digit (7) from the dividend after 45, then repeat: 457 / 52

Step 4:
457 divided by 52 is 8 with a remainder of 41.
Write down 8 as next digit of the result. 
Result so far: 158.0
Deduct 416 from 457 and we're left with 41.
Bring next digit (7) of the dividend behind the 41 and repeat the process: 417 / 52

Going ahead to step 5:
The number 52 fits into 417 8 times, leaving a remainder of 1.
The next digit of our result is 8. 
Result so far: 1588.0
Deduct 416 from 417 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 6:
10 divided by 52 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1588.0
If we take 0 away from 10, we end up 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.

Moving on to step 7:
52 can be fit into 100 1 times, resulting in a remainder of 48.
The next digit of our result is 1. 
Result so far: 1588.01
The remainder is 48 after subtracting 52 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 8:
52 can be fit into 480 9 times, resulting in a remainder of 12.
The next digit of our result is 9. 
Result so far: 1588.019
The remainder is 12 after subtracting 468 from 480.
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 9:
120 divided by 52 is 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 1588.0192
The remainder is 16 after subtracting 104 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
52 can be fit into 160 3 times, resulting in a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 1588.01923
Subtracting 156 from 160 leaves us 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.

Advancing to step 11:
The number 52 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 1588.01923
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 12:
If we divide 400 by 52, we get 7 and a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 1588.0192307
Deduct 364 from 400 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 13:
When dividing 360 by 52, we get 6 with a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 1588.01923076
Subtract 312 from 360 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The quotient of the division is 1588.01923076, and the remainder is 4.8e-08.