434371 ÷ 83 
We want to figure out the number of times 434371 can be divided by 83.

On 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
Subtract 0 from 4 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 83

Advancing 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
Deduct 0 from 43 and we're left with 43.
Bring next digit (4) of the dividend behind the 43 and repeat the process: 434 / 83

Advancing to step 3:
83 goes into 434 5 times with a remainder of 19.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 415 from 434 and we're left with 19.
Bring next digit (3) of the dividend behind the 19 and repeat the process: 193 / 83

Let's proceed to step 4:
When dividing 193 by 83, we get 2 with a remainder of 27.
The next digit of our result is 2. 
Result so far: 52.0
If we subtract 166 from 193, we get 27.
Fetch the next digit (7) from the dividend, attach it to 27 and continue: 277 / 83

Going ahead to step 5:
If we divide 277 by 83, we get 3 and a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 523.0
If we subtract 249 from 277, we get 28.
Take the next digit (1) from the dividend and append it to 28, then repeat: 281 / 83

Let's proceed to step 6:
281 divided by 83 is 3 with a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 5233.0
Deduct 249 from 281 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 7:
83 goes into 320 3 times with a remainder of 71.
Write down 3 as next digit of the result. 
Result so far: 5233.3
Subtract 249 from 320 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 8:
If we divide 710 by 83, we get 8 and a remainder of 46.
Use 8 as the next digit of our solution. 
Result so far: 5233.38
Subtracting 664 from 710 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 9:
460 divided by 83 is 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 5233.385
Deduct 415 from 460 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 10:
83 can be fit into 450 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 5233.3855
Subtracting 415 from 450 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 5233.3855 with a remaining 0.00035.