309222 ÷ 83 
We want to figure out the number of times 309222 can be divided by 83.

Advancing to step 1:
3 divided by 83 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 83

Let's proceed to step 2:
When dividing 30 by 83, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Grab the next digit (9) from the dividend, add it to 30, then carry on: 309 / 83

On to step 3:
When dividing 309 by 83, we get 3 with a remainder of 60.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 60 after subtracting 249 from 309.
Include the next digit (2) from the dividend after 60, then repeat: 602 / 83

On to step 4:
83 can be fit into 602 7 times, resulting in a remainder of 21.
The next digit of our result is 7. 
Result so far: 37.0
If we take 581 away from 602, we end up with 21.
Bring next digit (2) of the dividend behind the 21 and repeat the process: 212 / 83

Let's proceed to step 5:
83 goes into 212 2 times with a remainder of 46.
The number 2 becomes the next digit in our result. 
Result so far: 372.0
Subtracting 166 from 212 leaves us with 46.
Include the next digit (2) from the dividend after 46, then repeat: 462 / 83

Advancing to step 6:
83 goes into 462 5 times with a remainder of 47.
The next digit of our result is 5. 
Result so far: 3725.0
The remainder is 47 after subtracting 415 from 462.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
470 divided by 83 is 5 with a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 3725.5
The remainder is 55 after subtracting 415 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 8:
550 divided by 83 is 6 with a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 3725.56
If we subtract 498 from 550, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 9:
The number 83 fits into 520 6 times, leaving a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 3725.566
The remainder is 22 after subtracting 498 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 3725.566, and the remainder is 0.0022.