We're dividing 135578 by 82 
We're looking to find how many times 82 goes into 135578.

Let's proceed to step 1:
If we divide 1 by 82, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 82

On to step 2:
The number 82 fits into 13 0 times, leaving a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 82

Advancing to step 3:
135 divided by 82 is 1 with a remainder of 53.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 82 from 135 leaves us with 53.
Bring next digit (5) of the dividend behind the 53 and repeat the process: 535 / 82

Moving on to step 4:
82 goes into 535 6 times with a remainder of 43.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
The remainder is 43 after subtracting 492 from 535.
Append the next digit (7) from the dividend to 43 and continue with: 437 / 82

Step 5:
437 divided by 82 is 5 with a remainder of 27.
Use 5 as the next digit of our solution. 
Result so far: 165.0
If we subtract 410 from 437, we get 27.
Bring next digit (8) of the dividend behind the 27 and repeat the process: 278 / 82

Going ahead to step 6:
The number 82 fits into 278 3 times, leaving a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 1653.0
If we take 246 away from 278, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
320 divided by 82 is 3 with a remainder of 74.
The next digit of our result is 3. 
Result so far: 1653.3
If we take 246 away from 320, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 8:
If we divide 740 by 82, we get 9 and a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 1653.39
The remainder is 2 after subtracting 738 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
82 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 1653.39
If we take 0 away from 20, we end up 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.

Moving on to step 10:
When dividing 200 by 82, we get 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 1653.3902
If we subtract 164 from 200, 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.

Let's proceed to step 11:
When dividing 360 by 82, we get 4 with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 1653.39024
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
82 can be fit into 320 3 times, resulting in a remainder of 74.
The number 3 becomes the next digit in our result. 
Result so far: 1653.390243
Subtract 246 from 320 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 13:
If we divide 740 by 82, we get 9 and a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 1653.3902439
If we subtract 738 from 740, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 14:
82 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 1653.3902439
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 1653.3902439 with a balance of 2e-08.