We're dividing 420901 by 89 
We want to divide 420901 by 89.

Step 1:
When dividing 4 by 89, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 89

Let's proceed to step 2:
89 goes into 42 0 times with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Bring next digit (0) of the dividend behind the 42 and repeat the process: 420 / 89

Going ahead to step 3:
If we divide 420 by 89, we get 4 and a remainder of 64.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 64 after subtracting 356 from 420.
Fetch the next digit (9) from the dividend, attach it to 64 and continue: 649 / 89

Let's proceed to step 4:
If we divide 649 by 89, we get 7 and a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 47.0
If we subtract 623 from 649, we get 26.
Bring next digit (0) of the dividend behind the 26 and repeat the process: 260 / 89

Going ahead to step 5:
When dividing 260 by 89, we get 2 with a remainder of 82.
The number 2 becomes the next digit in our result. 
Result so far: 472.0
If we take 178 away from 260, we end up with 82.
Append the next digit (1) from the dividend to 82 and continue with: 821 / 89

Going ahead to step 6:
89 goes into 821 9 times with a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 4729.0
If we take 801 away from 821, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
89 goes into 200 2 times with a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 4729.2
The remainder is 22 after subtracting 178 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
If we divide 220 by 89, we get 2 and a remainder of 42.
The number 2 becomes the next digit in our result. 
Result so far: 4729.22
If we take 178 away from 220, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 4729.22 with a remainder of 0.042.