We divide 460906 by 87
We're looking to find how many times 87 goes into 460906.

Moving on to step 1:
4 divided by 87 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 87

Let's proceed to step 2:
When dividing 46 by 87, we get 0 with a remainder of 46.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 46 and we're left with 46.
Bring next digit (0) of the dividend behind the 46 and repeat the process: 460 / 87

Moving on to step 3:
The number 87 fits into 460 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 435 from 460 to get 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 87

Step 4:
259 divided by 87 is 2 with a remainder of 85.
Put 2 as the next digit of the answer. 
Result so far: 52.0
If we subtract 174 from 259, we get 85.
Append the next digit (0) from the dividend to 85 and continue with: 850 / 87

Step 5:
87 goes into 850 9 times with a remainder of 67.
Record the quotient 9 as the next digit in the result. 
Result so far: 529.0
Subtracting 783 from 850 leaves us with 67.
Fetch the next digit (6) from the dividend, attach it to 67 and continue: 676 / 87

Moving on to step 6:
87 goes into 676 7 times with a remainder of 67.
Put 7 as the next digit of the answer. 
Result so far: 5297.0
If we subtract 609 from 676, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 7:
The number 87 fits into 670 7 times, leaving a remainder of 61.
Use 7 as the next digit of our solution. 
Result so far: 5297.7
The remainder is 61 after subtracting 609 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 8:
When dividing 610 by 87, we get 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 5297.77
If we take 609 away from 610, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 5297.77, and the remainder is 0.001.