We're dividing 461950 by 87 
We want to figure out the number of times 461950 can be divided by 87.

On to step 1:
87 can be fit into 4 0 times, resulting in 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.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 87

Advancing to step 2:
87 can be fit into 46 0 times, resulting in a remainder of 46.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 46 to get 46.
Include the next digit (1) from the dividend after 46, then repeat: 461 / 87

Let's proceed to step 3:
The number 87 fits into 461 5 times, leaving a remainder of 26.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 435 from 461 to get 26.
Bring next digit (9) of the dividend behind the 26 and repeat the process: 269 / 87

Step 4:
The number 87 fits into 269 3 times, leaving a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 53.0
Deduct 261 from 269 and we're left with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 87

Advancing to step 5:
87 can be fit into 85 0 times, resulting in a remainder of 85.
The next digit of our result is 0. 
Result so far: 530.0
Subtracting 0 from 85 leaves us with 85.
Append the next digit (0) from the dividend to 85 and continue with: 850 / 87

Advancing to step 6:
87 can be fit into 850 9 times, resulting in a remainder of 67.
Use 9 as the next digit of our solution. 
Result so far: 5309.0
If we take 783 away from 850, we end up with 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:
87 goes into 670 7 times with a remainder of 61.
The number 7 becomes the next digit in our result. 
Result so far: 5309.7
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.

Advancing to step 8:
If we divide 610 by 87, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 5309.77
Subtracting 609 from 610 leaves us 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.

Our division results in 5309.77 with a remaining 0.001.