87513 ÷ 82 
We want to figure out the number of times 87513 can be divided by 82.

Moving on to step 1:
82 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 82

Going ahead to step 2:
82 goes into 87 1 times with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 82 from 87 leaves us with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 82

Let's proceed to step 3:
55 divided by 82 is 0 with a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 55, we get 55.
Append the next digit (1) from the dividend to 55 and continue with: 551 / 82

On to step 4:
If we divide 551 by 82, we get 6 and a remainder of 59.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
If we take 492 away from 551, we end up with 59.
Include the next digit (3) from the dividend after 59, then repeat: 593 / 82

On to step 5:
82 goes into 593 7 times with a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 1067.0
Subtracting 574 from 593 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 6:
When dividing 190 by 82, we get 2 with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 1067.2
Subtracting 164 from 190 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
260 divided by 82 is 3 with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 1067.23
Deduct 246 from 260 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 8:
140 divided by 82 is 1 with a remainder of 58.
Record the quotient 1 as the next digit in the result. 
Result so far: 1067.231
Deduct 82 from 140 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 9:
If we divide 580 by 82, we get 7 and a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 1067.2317
Subtracting 574 from 580 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
When dividing 60 by 82, we get 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 1067.2317
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 11:
82 goes into 600 7 times with a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 1067.231707
Deduct 574 from 600 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 12:
When dividing 260 by 82, we get 3 with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 1067.2317073
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 13:
If we divide 140 by 82, we get 1 and a remainder of 58.
Put 1 as the next digit of the answer. 
Result so far: 1067.23170731
Deduct 82 from 140 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

In conclusion, the division gives 1067.23170731 with a balance of 5.8e-08.