We look at the division of 461221 by 87 
We're looking to find how many times 87 goes into 461221.

On to step 1:
87 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 87

Moving on to step 2:
When dividing 46 by 87, we get 0 with a remainder of 46.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 46, we get 46.
Take the next digit (1) from the dividend and append it to 46, then repeat: 461 / 87

On to step 3:
87 goes into 461 5 times with a remainder of 26.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 435 from 461 leaves us with 26.
Include the next digit (2) from the dividend after 26, then repeat: 262 / 87

Going ahead to step 4:
If we divide 262 by 87, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 53.0
If we take 261 away from 262, we end up with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 87

Let's proceed to step 5:
When dividing 12 by 87, we get 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 530.0
Subtracting 0 from 12 leaves us with 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 87

Let's proceed to step 6:
121 divided by 87 is 1 with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 5301.0
Deduct 87 from 121 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
87 goes into 340 3 times with a remainder of 79.
Put 3 as the next digit of the answer. 
Result so far: 5301.3
Subtracting 261 from 340 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 8:
If we divide 790 by 87, we get 9 and a remainder of 7.
The next digit of our result is 9. 
Result so far: 5301.39
Deduct 783 from 790 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
87 can be fit into 70 0 times, resulting in a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 5301.39
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 10:
If we divide 700 by 87, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 5301.3908
If we subtract 696 from 700, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
If we divide 40 by 87, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 5301.3908
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 12:
The number 87 fits into 400 4 times, leaving a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 5301.390804
Subtracting 348 from 400 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 13:
87 can be fit into 520 5 times, resulting in a remainder of 85.
The next digit of our result is 5. 
Result so far: 5301.3908045
Subtracting 435 from 520 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Advancing to step 14:
87 goes into 850 9 times with a remainder of 67.
The next digit of our result is 9. 
Result so far: 5301.39080459
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.

In conclusion, the division gives 5301.39080459 with a balance of 6.7e-08.