35505 ÷ 87 
Our goal is to divide 35505 by 87.

Advancing to step 1:
If we divide 3 by 87, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 87

Moving on to step 2:
When dividing 35 by 87, we get 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Take the next digit (5) from the dividend and append it to 35, then repeat: 355 / 87

On to step 3:
The number 87 fits into 355 4 times, leaving a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 348 away from 355, we end up with 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 87

On to step 4:
The number 87 fits into 70 0 times, leaving a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 40.0
If we subtract 0 from 70, we get 70.
Take the next digit (5) from the dividend and append it to 70, then repeat: 705 / 87

Step 5:
705 divided by 87 is 8 with a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 408.0
Subtracting 696 from 705 leaves us with 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 6:
If we divide 90 by 87, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 408.1
If we subtract 87 from 90, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
The number 87 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 408.1
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
300 divided by 87 is 3 with a remainder of 39.
Record the quotient 3 as the next digit in the result. 
Result so far: 408.103
Deduct 261 from 300 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.

Going ahead to step 9:
87 can be fit into 390 4 times, resulting in a remainder of 42.
Record the quotient 4 as the next digit in the result. 
Result so far: 408.1034
Subtract 348 from 390 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 10:
The number 87 fits into 420 4 times, leaving a remainder of 72.
Put 4 as the next digit of the answer. 
Result so far: 408.10344
If we subtract 348 from 420, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 408.10344 with a balance of 7.2e-05.