We're dividing 434438 by 83 
Our goal is to divide 434438 by 83.

Going ahead to step 1:
If we divide 4 by 83, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 83

Going ahead to step 2:
83 goes into 43 0 times with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Fetch the next digit (4) from the dividend, attach it to 43 and continue: 434 / 83

Moving on to step 3:
434 divided by 83 is 5 with a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 19 after subtracting 415 from 434.
Fetch the next digit (4) from the dividend, attach it to 19 and continue: 194 / 83

Let's proceed to step 4:
If we divide 194 by 83, we get 2 and a remainder of 28.
The next digit of our result is 2. 
Result so far: 52.0
Deduct 166 from 194 and we're left with 28.
Take the next digit (3) from the dividend and append it to 28, then repeat: 283 / 83

Step 5:
When dividing 283 by 83, we get 3 with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 523.0
Subtract 249 from 283 to get 34.
Append the next digit (8) from the dividend to 34 and continue with: 348 / 83

Advancing to step 6:
83 can be fit into 348 4 times, resulting in a remainder of 16.
The next digit of our result is 4. 
Result so far: 5234.0
If we subtract 332 from 348, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
160 divided by 83 is 1 with a remainder of 77.
The number 1 becomes the next digit in our result. 
Result so far: 5234.1
If we subtract 83 from 160, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 8:
The number 83 fits into 770 9 times, leaving a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 5234.19
Subtracting 747 from 770 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 9:
The number 83 fits into 230 2 times, leaving a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 5234.192
If we take 166 away from 230, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 10:
When dividing 640 by 83, we get 7 with a remainder of 59.
Put 7 as the next digit of the answer. 
Result so far: 5234.1927
Deduct 581 from 640 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 11:
83 can be fit into 590 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 5234.19277
The remainder is 9 after subtracting 581 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 5234.19277 and a remainder of 9e-06.