We're dividing 365883 by 84 
We're looking to find how many times 84 goes into 365883.

Let's proceed to step 1:
When dividing 3 by 84, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 84

Let's proceed to step 2:
84 can be fit into 36 0 times, resulting in a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 36 and we're left with 36.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 84

Moving on to step 3:
When dividing 365 by 84, we get 4 with a remainder of 29.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 336 from 365 and we're left with 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 84

Moving on to step 4:
When dividing 298 by 84, we get 3 with a remainder of 46.
The next digit of our result is 3. 
Result so far: 43.0
If we subtract 252 from 298, we get 46.
Append the next digit (8) from the dividend to 46 and continue with: 468 / 84

On to step 5:
The number 84 fits into 468 5 times, leaving a remainder of 48.
Record the quotient 5 as the next digit in the result. 
Result so far: 435.0
If we take 420 away from 468, we end up with 48.
Take the next digit (3) from the dividend and append it to 48, then repeat: 483 / 84

On to step 6:
84 can be fit into 483 5 times, resulting in a remainder of 63.
The next digit of our result is 5. 
Result so far: 4355.0
Deduct 420 from 483 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 7:
The number 84 fits into 630 7 times, leaving a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 4355.7
The remainder is 42 after subtracting 588 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
When dividing 420 by 84, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 4355.75
The remainder is 0 after subtracting 420 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
84 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4355.75
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
The number 84 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4355.75
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 4355.75 with a balance of 0.0.