We look at the division of 421165 by 87 
Let's see how many times 87 fits into 421165.

Moving on to step 1:
4 divided by 87 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 87

Let's proceed to step 2:
If we divide 42 by 87, we get 0 and a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Take the next digit (1) from the dividend and append it to 42, then repeat: 421 / 87

Advancing to step 3:
The number 87 fits into 421 4 times, leaving a remainder of 73.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 348 from 421, we get 73.
Bring next digit (1) of the dividend behind the 73 and repeat the process: 731 / 87

Advancing to step 4:
The number 87 fits into 731 8 times, leaving a remainder of 35.
The next digit of our result is 8. 
Result so far: 48.0
Subtract 696 from 731 to get 35.
Include the next digit (6) from the dividend after 35, then repeat: 356 / 87

Going ahead to step 5:
87 can be fit into 356 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 484.0
The remainder is 8 after subtracting 348 from 356.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 87

Let's proceed to step 6:
85 divided by 87 is 0 with a remainder of 85.
Use 0 as the next digit of our solution. 
Result so far: 4840.0
Subtracting 0 from 85 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 7:
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: 4840.9
The remainder is 67 after subtracting 783 from 850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 8:
87 goes into 670 7 times with a remainder of 61.
Record the quotient 7 as the next digit in the result. 
Result so far: 4840.97
Subtracting 609 from 670 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 9:
610 divided by 87 is 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 4840.977
The remainder is 1 after subtracting 609 from 610.
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 4840.977, and the remainder is 0.0001.