We look at the division of 365435 by 87 
We're looking to find how many times 87 goes into 365435.

Let's proceed to step 1:
87 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 87

Going ahead to step 2:
87 goes into 36 0 times with a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 36 and we're left with 36.
Grab the next digit (5) from the dividend, add it to 36, then carry on: 365 / 87

Step 3:
87 can be fit into 365 4 times, resulting in a remainder of 17.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 348 from 365 leaves us with 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 87

On to step 4:
If we divide 174 by 87, we get 2 and a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 42.0
Subtracting 174 from 174 leaves us with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 87

Step 5:
When dividing 3 by 87, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 420.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 87

Moving on to step 6:
35 divided by 87 is 0 with a remainder of 35.
The next digit of our result is 0. 
Result so far: 4200.0
The remainder is 35 after subtracting 0 from 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
The number 87 fits into 350 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 4200.4
Subtracting 348 from 350 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
87 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 4200.4
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
200 divided by 87 is 2 with a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 4200.402
Subtracting 174 from 200 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.

Step 10:
87 can be fit into 260 2 times, resulting in a remainder of 86.
Use 2 as the next digit of our solution. 
Result so far: 4200.4022
Subtract 174 from 260 to get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

The final result is 4200.4022 with a remainder of 0.00086.