417111 ÷ 83 
We want to divide 417111 by 83.

Advancing to step 1:
83 goes into 4 0 times with 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.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 83

Advancing to step 2:
83 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Fetch the next digit (7) from the dividend, attach it to 41 and continue: 417 / 83

Moving on to step 3:
When dividing 417 by 83, we get 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 415 from 417 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 83

Advancing to step 4:
83 goes into 21 0 times with a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
The remainder is 21 after subtracting 0 from 21.
Bring next digit (1) of the dividend behind the 21 and repeat the process: 211 / 83

Step 5:
83 can be fit into 211 2 times, resulting in a remainder of 45.
Put 2 as the next digit of the answer. 
Result so far: 502.0
If we subtract 166 from 211, we get 45.
Append the next digit (1) from the dividend to 45 and continue with: 451 / 83

Going ahead to step 6:
451 divided by 83 is 5 with a remainder of 36.
The number 5 becomes the next digit in our result. 
Result so far: 5025.0
Deduct 415 from 451 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 7:
When dividing 360 by 83, we get 4 with a remainder of 28.
The next digit of our result is 4. 
Result so far: 5025.4
Subtracting 332 from 360 leaves us with 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 8:
83 goes into 280 3 times with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 5025.43
Subtract 249 from 280 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 9:
310 divided by 83 is 3 with a remainder of 61.
The next digit of our result is 3. 
Result so far: 5025.433
The remainder is 61 after subtracting 249 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

The quotient of the division is 5025.433, and the remainder is 0.0061.