854829 ÷ 87 
Our goal is to divide 854829 by 87.

Going ahead to step 1:
When dividing 8 by 87, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 87

Going ahead to step 2:
The number 87 fits into 85 0 times, leaving a remainder of 85.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 85 and we're left with 85.
Fetch the next digit (4) from the dividend, attach it to 85 and continue: 854 / 87

On to step 3:
854 divided by 87 is 9 with a remainder of 71.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 783 from 854 and we're left with 71.
Include the next digit (8) from the dividend after 71, then repeat: 718 / 87

On to step 4:
87 can be fit into 718 8 times, resulting in a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 98.0
Subtracting 696 from 718 leaves us with 22.
Grab the next digit (2) from the dividend, add it to 22, then carry on: 222 / 87

Going ahead to step 5:
The number 87 fits into 222 2 times, leaving a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 982.0
If we take 174 away from 222, we end up with 48.
Fetch the next digit (9) from the dividend, attach it to 48 and continue: 489 / 87

Let's proceed to step 6:
489 divided by 87 is 5 with a remainder of 54.
The number 5 becomes the next digit in our result. 
Result so far: 9825.0
If we take 435 away from 489, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 7:
87 goes into 540 6 times with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 9825.6
If we take 522 away from 540, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
87 can be fit into 180 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 9825.62
Subtracting 174 from 180 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.

On to step 9:
If we divide 60 by 87, we get 0 and a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 9825.62
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.

Let's proceed to step 10:
The number 87 fits into 600 6 times, leaving a remainder of 78.
Record the quotient 6 as the next digit in the result. 
Result so far: 9825.6206
If we take 522 away from 600, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 11:
When dividing 780 by 87, we get 8 with a remainder of 84.
The next digit of our result is 8. 
Result so far: 9825.62068
If we take 696 away from 780, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 12:
When dividing 840 by 87, we get 9 with a remainder of 57.
Record the quotient 9 as the next digit in the result. 
Result so far: 9825.620689
The remainder is 57 after subtracting 783 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 13:
The number 87 fits into 570 6 times, leaving a remainder of 48.
The next digit of our result is 6. 
Result so far: 9825.6206896
Subtracting 522 from 570 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 14:
87 goes into 480 5 times with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 9825.62068965
Subtract 435 from 480 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

In conclusion, the division gives 9825.62068965 with a balance of 4.5e-08.