We look at the division of 419920 by 83 
Let's see how many times 83 fits into 419920.

Moving on to step 1:
83 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 83

Step 2:
If we divide 41 by 83, we get 0 and a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 83

Advancing to step 3:
When dividing 419 by 83, we get 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 4 after subtracting 415 from 419.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 83

Step 4:
49 divided by 83 is 0 with a remainder of 49.
Record the quotient 0 as the next digit in the result. 
Result so far: 50.0
Deduct 0 from 49 and we're left with 49.
Fetch the next digit (2) from the dividend, attach it to 49 and continue: 492 / 83

On to step 5:
The number 83 fits into 492 5 times, leaving a remainder of 77.
Use 5 as the next digit of our solution. 
Result so far: 505.0
Subtract 415 from 492 to get 77.
Grab the next digit (0) from the dividend, add it to 77, then carry on: 770 / 83

Step 6:
770 divided by 83 is 9 with a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 5059.0
Subtract 747 from 770 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
If we divide 230 by 83, we get 2 and a remainder of 64.
Put 2 as the next digit of the answer. 
Result so far: 5059.2
Deduct 166 from 230 and we're left 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.

Advancing to step 8:
83 can be fit into 640 7 times, resulting in a remainder of 59.
The next digit of our result is 7. 
Result so far: 5059.27
If we take 581 away from 640, we end up 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.

Advancing to step 9:
590 divided by 83 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 5059.277
Deduct 581 from 590 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 5059.277 with a remainder of 0.0009.