85827 ÷ 51 
We want to divide 85827 by 51.

On to step 1:
The number 51 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 51

Moving on to step 2:
51 goes into 85 1 times with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 51 from 85 leaves us with 34.
Bring next digit (8) of the dividend behind the 34 and repeat the process: 348 / 51

Going ahead to step 3:
When dividing 348 by 51, we get 6 with a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we subtract 306 from 348, we get 42.
Grab the next digit (2) from the dividend, add it to 42, then carry on: 422 / 51

Let's proceed to step 4:
51 can be fit into 422 8 times, resulting in a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 168.0
If we subtract 408 from 422, we get 14.
Fetch the next digit (7) from the dividend, attach it to 14 and continue: 147 / 51

Moving on to step 5:
If we divide 147 by 51, we get 2 and a remainder of 45.
Record the quotient 2 as the next digit in the result. 
Result so far: 1682.0
Subtracting 102 from 147 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 6:
51 can be fit into 450 8 times, resulting in a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 1682.8
Subtracting 408 from 450 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
The number 51 fits into 420 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 1682.88
The remainder is 12 after subtracting 408 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 1682.88 with a balance of 0.012.