We look at the division of 466 by 87 
Let's see how many times 87 fits into 466.

Going ahead to step 1:
The number 87 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 87

Let's proceed to step 2:
The number 87 fits into 46 0 times, leaving a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 46 leaves us with 46.
Take the next digit (6) from the dividend and append it to 46, then repeat: 466 / 87

Going ahead to step 3:
87 goes into 466 5 times with a remainder of 31.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 435 from 466, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 4:
When dividing 310 by 87, we get 3 with a remainder of 49.
The number 3 becomes the next digit in our result. 
Result so far: 5.3
If we subtract 261 from 310, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 5:
87 can be fit into 490 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 5.35
Subtracting 435 from 490 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 6:
550 divided by 87 is 6 with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 5.356
If we take 522 away from 550, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
The number 87 fits into 280 3 times, leaving a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 5.3563
Deduct 261 from 280 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 8:
87 can be fit into 190 2 times, resulting in a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 5.35632
Deduct 174 from 190 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
87 can be fit into 160 1 times, resulting in a remainder of 73.
Record the quotient 1 as the next digit in the result. 
Result so far: 5.356321
If we take 87 away from 160, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 10:
When dividing 730 by 87, we get 8 with a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 5.3563218
Subtract 696 from 730 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 11:
When dividing 340 by 87, we get 3 with a remainder of 79.
The next digit of our result is 3. 
Result so far: 5.35632183
The remainder is 79 after subtracting 261 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

In conclusion, the division gives 5.35632183 with a balance of 7.9e-08.