478821 ÷ 89 
Let's see how many times 89 fits into 478821.

Going ahead to step 1:
When dividing 4 by 89, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 89

Advancing to step 2:
89 goes into 47 0 times with a remainder of 47.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 47, we get 47.
Fetch the next digit (8) from the dividend, attach it to 47 and continue: 478 / 89

Let's proceed to step 3:
If we divide 478 by 89, we get 5 and a remainder of 33.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 445 from 478 to get 33.
Bring next digit (8) of the dividend behind the 33 and repeat the process: 338 / 89

Advancing to step 4:
When dividing 338 by 89, we get 3 with a remainder of 71.
The next digit of our result is 3. 
Result so far: 53.0
Subtracting 267 from 338 leaves us with 71.
Append the next digit (2) from the dividend to 71 and continue with: 712 / 89

Let's proceed to step 5:
712 divided by 89 is 8 with a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 538.0
If we subtract 712 from 712, we get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 89

Step 6:
When dividing 1 by 89, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 5380.0
Subtracting 0 from 1 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.

Moving on to step 7:
The number 89 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5380.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 89 fits into 100 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 5380.01
Deduct 89 from 100 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
110 divided by 89 is 1 with a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 5380.011
The remainder is 21 after subtracting 89 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final result is 5380.011 with a remainder of 0.0021.