We're dividing 412170 by 87 
We want to figure out the number of times 412170 can be divided by 87.

On to step 1:
87 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 87

Advancing to step 2:
If we divide 41 by 87, we get 0 and a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Bring next digit (2) of the dividend behind the 41 and repeat the process: 412 / 87

Going ahead to step 3:
The number 87 fits into 412 4 times, leaving a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 348 from 412 and we're left with 64.
Append the next digit (1) from the dividend to 64 and continue with: 641 / 87

Advancing to step 4:
When dividing 641 by 87, we get 7 with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 47.0
Subtracting 609 from 641 leaves us with 32.
Take the next digit (7) from the dividend and append it to 32, then repeat: 327 / 87

Let's proceed to step 5:
The number 87 fits into 327 3 times, leaving a remainder of 66.
Record the quotient 3 as the next digit in the result. 
Result so far: 473.0
Subtracting 261 from 327 leaves us with 66.
Include the next digit (0) from the dividend after 66, then repeat: 660 / 87

Step 6:
The number 87 fits into 660 7 times, leaving a remainder of 51.
Write down 7 as next digit of the result. 
Result so far: 4737.0
If we take 609 away from 660, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 7:
If we divide 510 by 87, we get 5 and a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 4737.5
The remainder is 75 after subtracting 435 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 8:
87 goes into 750 8 times with a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 4737.58
Subtracting 696 from 750 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 9:
87 goes into 540 6 times with a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 4737.586
If we subtract 522 from 540, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 10:
The number 87 fits into 180 2 times, leaving a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 4737.5862
Deduct 174 from 180 and we're left 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.

On to step 11:
87 can be fit into 60 0 times, resulting in a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 4737.5862
Deduct 0 from 60 and we're left 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.

Step 12:
When dividing 600 by 87, we get 6 with a remainder of 78.
Write down 6 as next digit of the result. 
Result so far: 4737.586206
The remainder is 78 after subtracting 522 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 13:
The number 87 fits into 780 8 times, leaving a remainder of 84.
Use 8 as the next digit of our solution. 
Result so far: 4737.5862068
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.

Step 14:
87 goes into 840 9 times with a remainder of 57.
Put 9 as the next digit of the answer. 
Result so far: 4737.58620689
The remainder is 57 after subtracting 783 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Our division results in 4737.58620689 with a remaining 5.7e-08.