844263 ÷ 83 
Our goal is to divide 844263 by 83.

Advancing to step 1:
8 divided by 83 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 83

Moving on to step 2:
83 can be fit into 84 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 1 after subtracting 83 from 84.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 83

On to step 3:
If we divide 14 by 83, we get 0 and a remainder of 14.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 14, we end up with 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 83

Going ahead to step 4:
When dividing 142 by 83, we get 1 with a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 101.0
Deduct 83 from 142 and we're left with 59.
Fetch the next digit (6) from the dividend, attach it to 59 and continue: 596 / 83

Step 5:
The number 83 fits into 596 7 times, leaving a remainder of 15.
The next digit of our result is 7. 
Result so far: 1017.0
The remainder is 15 after subtracting 581 from 596.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 83

Let's proceed to step 6:
83 can be fit into 153 1 times, resulting in a remainder of 70.
The number 1 becomes the next digit in our result. 
Result so far: 10171.0
Subtract 83 from 153 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 7:
700 divided by 83 is 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 10171.8
The remainder is 36 after subtracting 664 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
83 goes into 360 4 times with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 10171.84
Subtract 332 from 360 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.

Advancing to step 9:
280 divided by 83 is 3 with a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 10171.843
If we take 249 away from 280, we end up with 31.
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 10:
The number 83 fits into 310 3 times, leaving a remainder of 61.
Record the quotient 3 as the next digit in the result. 
Result so far: 10171.8433
Subtract 249 from 310 to 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 quotient of the division is 10171.8433, and the remainder is 0.00061.