82569 ÷ 93 
Our goal is to divide 82569 by 93.

Moving on to step 1:
8 divided by 93 is 0 with 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.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 93

On to step 2:
93 goes into 82 0 times with a remainder of 82.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 82 after subtracting 0 from 82.
Grab the next digit (5) from the dividend, add it to 82, then carry on: 825 / 93

Let's proceed to step 3:
93 goes into 825 8 times with a remainder of 81.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 744 from 825 and we're left with 81.
Append the next digit (6) from the dividend to 81 and continue with: 816 / 93

Advancing to step 4:
The number 93 fits into 816 8 times, leaving a remainder of 72.
The next digit of our result is 8. 
Result so far: 88.0
The remainder is 72 after subtracting 744 from 816.
Grab the next digit (9) from the dividend, add it to 72, then carry on: 729 / 93

On to step 5:
93 can be fit into 729 7 times, resulting in a remainder of 78.
Put 7 as the next digit of the answer. 
Result so far: 887.0
The remainder is 78 after subtracting 651 from 729.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 6:
When dividing 780 by 93, we get 8 with a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 887.8
If we subtract 744 from 780, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 7:
360 divided by 93 is 3 with a remainder of 81.
Use 3 as the next digit of our solution. 
Result so far: 887.83
If we take 279 away from 360, we end up with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 8:
93 goes into 810 8 times with a remainder of 66.
Write down 8 as next digit of the result. 
Result so far: 887.838
The remainder is 66 after subtracting 744 from 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 9:
93 goes into 660 7 times with a remainder of 9.
The next digit of our result is 7. 
Result so far: 887.8387
If we take 651 away from 660, we end up 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 10:
93 goes into 90 0 times with a remainder of 90.
The next digit of our result is 0. 
Result so far: 887.8387
If we take 0 away from 90, we end up with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Let's proceed to step 11:
The number 93 fits into 900 9 times, leaving a remainder of 63.
The next digit of our result is 9. 
Result so far: 887.838709
Deduct 837 from 900 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 12:
630 divided by 93 is 6 with a remainder of 72.
Use 6 as the next digit of our solution. 
Result so far: 887.8387096
Subtracting 558 from 630 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 13:
When dividing 720 by 93, we get 7 with a remainder of 69.
Use 7 as the next digit of our solution. 
Result so far: 887.83870967
Deduct 651 from 720 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

The final outcome is 887.83870967, with a leftover of 6.9e-08.