282838 ÷ 84 
Our goal is to divide 282838 by 84.

Let's proceed to step 1:
84 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 84

Let's proceed to step 2:
When dividing 28 by 84, we get 0 with a remainder of 28.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 28 leaves us with 28.
Bring next digit (2) of the dividend behind the 28 and repeat the process: 282 / 84

Advancing to step 3:
84 can be fit into 282 3 times, resulting in a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 252 from 282 and we're left with 30.
Include the next digit (8) from the dividend after 30, then repeat: 308 / 84

On to step 4:
84 goes into 308 3 times with a remainder of 56.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Subtracting 252 from 308 leaves us with 56.
Append the next digit (3) from the dividend to 56 and continue with: 563 / 84

Moving on to step 5:
The number 84 fits into 563 6 times, leaving a remainder of 59.
The number 6 becomes the next digit in our result. 
Result so far: 336.0
Subtracting 504 from 563 leaves us with 59.
Bring next digit (8) of the dividend behind the 59 and repeat the process: 598 / 84

Let's proceed to step 6:
The number 84 fits into 598 7 times, leaving a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 3367.0
The remainder is 10 after subtracting 588 from 598.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
When dividing 100 by 84, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 3367.1
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
84 can be fit into 160 1 times, resulting in a remainder of 76.
The next digit of our result is 1. 
Result so far: 3367.11
Deduct 84 from 160 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

After the division, we end up with 3367.11 and a remainder of 0.076.