We look at the division of 434639 by 89 
Let's see how many times 89 fits into 434639.

Step 1:
When dividing 4 by 89, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 89

Step 2:
89 can be fit into 43 0 times, resulting in a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Take the next digit (4) from the dividend and append it to 43, then repeat: 434 / 89

On to step 3:
89 can be fit into 434 4 times, resulting in a remainder of 78.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 356 away from 434, we end up with 78.
Grab the next digit (6) from the dividend, add it to 78, then carry on: 786 / 89

Advancing to step 4:
786 divided by 89 is 8 with a remainder of 74.
The next digit of our result is 8. 
Result so far: 48.0
If we take 712 away from 786, we end up with 74.
Include the next digit (3) from the dividend after 74, then repeat: 743 / 89

Moving on to step 5:
If we divide 743 by 89, we get 8 and a remainder of 31.
Write down 8 as next digit of the result. 
Result so far: 488.0
Deduct 712 from 743 and we're left with 31.
Include the next digit (9) from the dividend after 31, then repeat: 319 / 89

Let's proceed to step 6:
319 divided by 89 is 3 with a remainder of 52.
Write down 3 as next digit of the result. 
Result so far: 4883.0
Subtracting 267 from 319 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 7:
If we divide 520 by 89, we get 5 and a remainder of 75.
The next digit of our result is 5. 
Result so far: 4883.5
Subtract 445 from 520 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 8:
The number 89 fits into 750 8 times, leaving a remainder of 38.
The next digit of our result is 8. 
Result so far: 4883.58
If we take 712 away from 750, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 9:
89 can be fit into 380 4 times, resulting in a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 4883.584
If we take 356 away from 380, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
The number 89 fits into 240 2 times, leaving a remainder of 62.
The next digit of our result is 2. 
Result so far: 4883.5842
Subtracting 178 from 240 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 11:
The number 89 fits into 620 6 times, leaving a remainder of 86.
Put 6 as the next digit of the answer. 
Result so far: 4883.58426
If we take 534 away from 620, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Going ahead to step 12:
If we divide 860 by 89, we get 9 and a remainder of 59.
Write down 9 as next digit of the result. 
Result so far: 4883.584269
If we subtract 801 from 860, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 13:
If we divide 590 by 89, we get 6 and a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 4883.5842696
The remainder is 56 after subtracting 534 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 14:
When dividing 560 by 89, we get 6 with a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 4883.58426966
Subtracting 534 from 560 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 4883.58426966 with a remainder of 2.6e-08.