431887 ÷ 83 
Our goal is to divide 431887 by 83.

Step 1:
4 divided by 83 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 83

Advancing to step 2:
The number 83 fits into 43 0 times, leaving a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Take the next digit (1) from the dividend and append it to 43, then repeat: 431 / 83

On to step 3:
When dividing 431 by 83, we get 5 with a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 16 after subtracting 415 from 431.
Grab the next digit (8) from the dividend, add it to 16, then carry on: 168 / 83

On to step 4:
83 goes into 168 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
If we take 166 away from 168, we end up with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 83

Going ahead to step 5:
The number 83 fits into 28 0 times, leaving a remainder of 28.
Record the quotient 0 as the next digit in the result. 
Result so far: 520.0
Subtract 0 from 28 to get 28.
Bring next digit (7) of the dividend behind the 28 and repeat the process: 287 / 83

On to step 6:
The number 83 fits into 287 3 times, leaving a remainder of 38.
Use 3 as the next digit of our solution. 
Result so far: 5203.0
The remainder is 38 after subtracting 249 from 287.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 7:
The number 83 fits into 380 4 times, leaving a remainder of 48.
The next digit of our result is 4. 
Result so far: 5203.4
Subtract 332 from 380 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
If we divide 480 by 83, we get 5 and a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 5203.45
Subtracting 415 from 480 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 9:
When dividing 650 by 83, we get 7 with a remainder of 69.
The next digit of our result is 7. 
Result so far: 5203.457
The remainder is 69 after subtracting 581 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 10:
When dividing 690 by 83, we get 8 with a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 5203.4578
Subtracting 664 from 690 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.

Let's proceed to step 11:
If we divide 260 by 83, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 5203.45783
The remainder is 11 after subtracting 249 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 12:
83 goes into 110 1 times with a remainder of 27.
The next digit of our result is 1. 
Result so far: 5203.457831
Subtracting 83 from 110 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 13:
83 can be fit into 270 3 times, resulting in a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 5203.4578313
Subtract 249 from 270 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 14:
When dividing 210 by 83, we get 2 with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 5203.45783132
Subtracting 166 from 210 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The final result is 5203.45783132 with a remainder of 4.4e-08.