27824 ÷ 91 
We're looking to find how many times 91 goes into 27824.

Let's proceed to step 1:
91 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 91

On to step 2:
If we divide 27 by 91, we get 0 and a remainder of 27.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 27 after subtracting 0 from 27.
Bring next digit (8) of the dividend behind the 27 and repeat the process: 278 / 91

Moving on to step 3:
The number 91 fits into 278 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 273 away from 278, we end up with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 91

On to step 4:
The number 91 fits into 52 0 times, leaving a remainder of 52.
Write down 0 as next digit of the result. 
Result so far: 30.0
Deduct 0 from 52 and we're left with 52.
Include the next digit (4) from the dividend after 52, then repeat: 524 / 91

Moving on to step 5:
If we divide 524 by 91, we get 5 and a remainder of 69.
The next digit of our result is 5. 
Result so far: 305.0
The remainder is 69 after subtracting 455 from 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 6:
When dividing 690 by 91, we get 7 with a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 305.7
If we subtract 637 from 690, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 7:
When dividing 530 by 91, we get 5 with a remainder of 75.
The next digit of our result is 5. 
Result so far: 305.75
Deduct 455 from 530 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 8:
750 divided by 91 is 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 305.758
Deduct 728 from 750 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
91 can be fit into 220 2 times, resulting in a remainder of 38.
The next digit of our result is 2. 
Result so far: 305.7582
The remainder is 38 after subtracting 182 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 10:
The number 91 fits into 380 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 305.75824
The remainder is 16 after subtracting 364 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
160 divided by 91 is 1 with a remainder of 69.
Record the quotient 1 as the next digit in the result. 
Result so far: 305.758241
The remainder is 69 after subtracting 91 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 12:
91 goes into 690 7 times with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 305.7582417
Subtract 637 from 690 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 13:
91 can be fit into 530 5 times, resulting in a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 305.75824175
The remainder is 75 after subtracting 455 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

In conclusion, the division gives 305.75824175 with a balance of 7.5e-08.