409434 ÷ 87 
We're looking to find how many times 87 goes into 409434.

Step 1:
87 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 87

Going ahead to step 2:
87 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 40 leaves us with 40.
Include the next digit (9) from the dividend after 40, then repeat: 409 / 87

Moving on to step 3:
When dividing 409 by 87, we get 4 with a remainder of 61.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 61 after subtracting 348 from 409.
Grab the next digit (4) from the dividend, add it to 61, then carry on: 614 / 87

On to step 4:
When dividing 614 by 87, we get 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 47.0
The remainder is 5 after subtracting 609 from 614.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 87

Advancing to step 5:
The number 87 fits into 53 0 times, leaving a remainder of 53.
Put 0 as the next digit of the answer. 
Result so far: 470.0
Deduct 0 from 53 and we're left with 53.
Fetch the next digit (4) from the dividend, attach it to 53 and continue: 534 / 87

Let's proceed to step 6:
If we divide 534 by 87, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 4706.0
Deduct 522 from 534 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
120 divided by 87 is 1 with a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 4706.1
Deduct 87 from 120 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 8:
The number 87 fits into 330 3 times, leaving a remainder of 69.
The number 3 becomes the next digit in our result. 
Result so far: 4706.13
Subtracting 261 from 330 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Moving on to step 9:
690 divided by 87 is 7 with a remainder of 81.
The next digit of our result is 7. 
Result so far: 4706.137
If we take 609 away from 690, we end up with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 10:
When dividing 810 by 87, we get 9 with a remainder of 27.
Record the quotient 9 as the next digit in the result. 
Result so far: 4706.1379
Subtract 783 from 810 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 11:
87 can be fit into 270 3 times, resulting in a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 4706.13793
Deduct 261 from 270 and we're left 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.

Step 12:
When dividing 90 by 87, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 4706.137931
Deduct 87 from 90 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 13:
30 divided by 87 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 4706.137931
Subtracting 0 from 30 leaves us 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.

Advancing to step 14:
87 can be fit into 300 3 times, resulting in a remainder of 39.
Write down 3 as next digit of the result. 
Result so far: 4706.13793103
Subtracting 261 from 300 leaves us 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.

The final outcome is 4706.13793103, with a leftover of 3.9e-08.