We divide 102582 by 51
We want to divide 102582 by 51.

Going ahead to step 1:
1 divided by 51 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 51

Let's proceed to step 2:
51 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 51

Moving on to step 3:
102 divided by 51 is 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 0 after subtracting 102 from 102.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 51

On to step 4:
The number 51 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 20.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 51

On to step 5:
51 goes into 58 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 201.0
If we subtract 51 from 58, we get 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 51

Let's proceed to step 6:
The number 51 fits into 72 1 times, leaving a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 2011.0
Subtract 51 from 72 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
The number 51 fits into 210 4 times, leaving a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 2011.4
Deduct 204 from 210 and we're left 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.

Going ahead to step 8:
When dividing 60 by 51, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 2011.41
Subtract 51 from 60 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
90 divided by 51 is 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 2011.411
Deduct 51 from 90 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

In conclusion, the division gives 2011.411 with a balance of 0.0039.