421834 divided by 83 
Let's see how many times 83 fits into 421834.

Moving on to step 1:
83 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 83

Let's proceed to step 2:
When dividing 42 by 83, we get 0 with a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Append the next digit (1) from the dividend to 42 and continue with: 421 / 83

Step 3:
When dividing 421 by 83, we get 5 with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 415 from 421 and we're left with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 83

Step 4:
83 can be fit into 68 0 times, resulting in a remainder of 68.
The next digit of our result is 0. 
Result so far: 50.0
The remainder is 68 after subtracting 0 from 68.
Bring next digit (3) of the dividend behind the 68 and repeat the process: 683 / 83

Advancing to step 5:
683 divided by 83 is 8 with a remainder of 19.
Record the quotient 8 as the next digit in the result. 
Result so far: 508.0
Subtracting 664 from 683 leaves us with 19.
Take the next digit (4) from the dividend and append it to 19, then repeat: 194 / 83

On to step 6:
194 divided by 83 is 2 with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 5082.0
Subtract 166 from 194 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
The number 83 fits into 280 3 times, leaving a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 5082.3
The remainder is 31 after subtracting 249 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 8:
When dividing 310 by 83, we get 3 with a remainder of 61.
Write down 3 as next digit of the result. 
Result so far: 5082.33
If we subtract 249 from 310, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

The final result is 5082.33 with a remainder of 0.061.