415435 divided by 87 
We want to divide 415435 by 87.

Going ahead to step 1:
When dividing 4 by 87, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 87

Moving on to step 2:
87 can be fit into 41 0 times, resulting in a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (5) from the dividend, add it to 41, then carry on: 415 / 87

On to step 3:
The number 87 fits into 415 4 times, leaving a remainder of 67.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 67 after subtracting 348 from 415.
Fetch the next digit (4) from the dividend, attach it to 67 and continue: 674 / 87

Advancing to step 4:
If we divide 674 by 87, we get 7 and a remainder of 65.
Record the quotient 7 as the next digit in the result. 
Result so far: 47.0
Subtract 609 from 674 to get 65.
Include the next digit (3) from the dividend after 65, then repeat: 653 / 87

Moving on to step 5:
653 divided by 87 is 7 with a remainder of 44.
The number 7 becomes the next digit in our result. 
Result so far: 477.0
Deduct 609 from 653 and we're left with 44.
Take the next digit (5) from the dividend and append it to 44, then repeat: 445 / 87

Step 6:
If we divide 445 by 87, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 4775.0
Subtracting 435 from 445 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
If we divide 100 by 87, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 4775.1
Deduct 87 from 100 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
87 can be fit into 130 1 times, resulting in a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 4775.11
Subtracting 87 from 130 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final result is 4775.11 with a remainder of 0.043.