We're dividing 434281 by 89 
Our goal is to divide 434281 by 89.

Let's proceed to step 1:
89 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 89

Going ahead to step 2:
The number 89 fits into 43 0 times, leaving a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Fetch the next digit (4) from the dividend, attach it to 43 and continue: 434 / 89

Advancing to step 3:
89 goes into 434 4 times with a remainder of 78.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 356 from 434 and we're left with 78.
Take the next digit (2) from the dividend and append it to 78, then repeat: 782 / 89

Moving on to step 4:
89 can be fit into 782 8 times, resulting in a remainder of 70.
Use 8 as the next digit of our solution. 
Result so far: 48.0
Subtract 712 from 782 to get 70.
Take the next digit (8) from the dividend and append it to 70, then repeat: 708 / 89

Moving on to step 5:
If we divide 708 by 89, we get 7 and a remainder of 85.
Put 7 as the next digit of the answer. 
Result so far: 487.0
Subtracting 623 from 708 leaves us with 85.
Take the next digit (1) from the dividend and append it to 85, then repeat: 851 / 89

Advancing to step 6:
89 goes into 851 9 times with a remainder of 50.
Record the quotient 9 as the next digit in the result. 
Result so far: 4879.0
Deduct 801 from 851 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 7:
The number 89 fits into 500 5 times, leaving a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 4879.5
Deduct 445 from 500 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 8:
89 can be fit into 550 6 times, resulting in a remainder of 16.
The next digit of our result is 6. 
Result so far: 4879.56
If we take 534 away from 550, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
If we divide 160 by 89, we get 1 and a remainder of 71.
The number 1 becomes the next digit in our result. 
Result so far: 4879.561
Subtract 89 from 160 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 10:
89 goes into 710 7 times with a remainder of 87.
Write down 7 as next digit of the result. 
Result so far: 4879.5617
If we subtract 623 from 710, we get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Going ahead to step 11:
If we divide 870 by 89, we get 9 and a remainder of 69.
The number 9 becomes the next digit in our result. 
Result so far: 4879.56179
Subtracting 801 from 870 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 12:
89 goes into 690 7 times with a remainder of 67.
The number 7 becomes the next digit in our result. 
Result so far: 4879.561797
Subtract 623 from 690 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 13:
89 goes into 670 7 times with a remainder of 47.
The next digit of our result is 7. 
Result so far: 4879.5617977
The remainder is 47 after subtracting 623 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

In conclusion, the division gives 4879.5617977 with a balance of 4.7e-07.