We look at the division of 414476 by 87 
We want to divide 414476 by 87.

Let's proceed to step 1:
If we divide 4 by 87, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 87

Step 2:
41 divided by 87 is 0 with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Append the next digit (4) from the dividend to 41 and continue with: 414 / 87

Advancing to step 3:
87 goes into 414 4 times with a remainder of 66.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 348 from 414, we get 66.
Grab the next digit (4) from the dividend, add it to 66, then carry on: 664 / 87

Step 4:
The number 87 fits into 664 7 times, leaving a remainder of 55.
The next digit of our result is 7. 
Result so far: 47.0
Deduct 609 from 664 and we're left with 55.
Take the next digit (7) from the dividend and append it to 55, then repeat: 557 / 87

Moving on to step 5:
When dividing 557 by 87, we get 6 with a remainder of 35.
Use 6 as the next digit of our solution. 
Result so far: 476.0
Deduct 522 from 557 and we're left with 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 87

On to step 6:
If we divide 356 by 87, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 4764.0
If we subtract 348 from 356, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
When dividing 80 by 87, we get 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 4764.0
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 8:
87 goes into 800 9 times with a remainder of 17.
Record the quotient 9 as the next digit in the result. 
Result so far: 4764.09
Deduct 783 from 800 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 9:
87 can be fit into 170 1 times, resulting in a remainder of 83.
Record the quotient 1 as the next digit in the result. 
Result so far: 4764.091
If we subtract 87 from 170, we get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Step 10:
The number 87 fits into 830 9 times, leaving a remainder of 47.
Use 9 as the next digit of our solution. 
Result so far: 4764.0919
If we take 783 away from 830, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 11:
87 can be fit into 470 5 times, resulting in a remainder of 35.
The next digit of our result is 5. 
Result so far: 4764.09195
If we subtract 435 from 470, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 12:
The number 87 fits into 350 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4764.091954
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 13:
87 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 4764.091954
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.

Advancing to step 14:
When dividing 200 by 87, we get 2 with a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 4764.09195402
If we subtract 174 from 200, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final outcome is 4764.09195402, with a leftover of 2.6e-08.