We look at the division of 415914 by 87 
We're looking to find how many times 87 goes into 415914.

On to step 1:
87 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 87

Advancing to step 2:
87 goes into 41 0 times with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Take the next digit (5) from the dividend and append it to 41, then repeat: 415 / 87

Let's proceed to step 3:
415 divided by 87 is 4 with a remainder of 67.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 348 from 415 and we're left with 67.
Include the next digit (9) from the dividend after 67, then repeat: 679 / 87

Moving on to step 4:
87 goes into 679 7 times with a remainder of 70.
The next digit of our result is 7. 
Result so far: 47.0
Deduct 609 from 679 and we're left with 70.
Grab the next digit (1) from the dividend, add it to 70, then carry on: 701 / 87

Moving on to step 5:
87 can be fit into 701 8 times, resulting in a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 478.0
The remainder is 5 after subtracting 696 from 701.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 87

Let's proceed to step 6:
When dividing 54 by 87, we get 0 with a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 4780.0
The remainder is 54 after subtracting 0 from 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 7:
The number 87 fits into 540 6 times, leaving a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 4780.6
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.

Moving on to step 8:
87 can be fit into 180 2 times, resulting in a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 4780.62
If we take 174 away from 180, we end up 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.

Moving on to step 9:
The number 87 fits into 60 0 times, leaving a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 4780.62
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.

Moving on to step 10:
600 divided by 87 is 6 with a remainder of 78.
The number 6 becomes the next digit in our result. 
Result so far: 4780.6206
Subtracting 522 from 600 leaves us 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.

Going ahead to step 11:
When dividing 780 by 87, we get 8 with a remainder of 84.
Record the quotient 8 as the next digit in the result. 
Result so far: 4780.62068
Deduct 696 from 780 and we're left 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.

Advancing to step 12:
840 divided by 87 is 9 with a remainder of 57.
Record the quotient 9 as the next digit in the result. 
Result so far: 4780.620689
If we take 783 away from 840, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 13:
The number 87 fits into 570 6 times, leaving a remainder of 48.
Write down 6 as next digit of the result. 
Result so far: 4780.6206896
If we subtract 522 from 570, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 14:
87 can be fit into 480 5 times, resulting in a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 4780.62068965
Subtracting 435 from 480 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Our division results in 4780.62068965 with a remaining 4.5e-08.