16824 ÷ 61 
Our goal is to divide 16824 by 61.

Moving on to step 1:
1 divided by 61 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 61

Moving on to step 2:
The number 61 fits into 16 0 times, leaving a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 16 after subtracting 0 from 16.
Grab the next digit (8) from the dividend, add it to 16, then carry on: 168 / 61

Step 3:
61 goes into 168 2 times with a remainder of 46.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 122 from 168 and we're left with 46.
Include the next digit (2) from the dividend after 46, then repeat: 462 / 61

Advancing to step 4:
If we divide 462 by 61, we get 7 and a remainder of 35.
The next digit of our result is 7. 
Result so far: 27.0
Subtracting 427 from 462 leaves us with 35.
Fetch the next digit (4) from the dividend, attach it to 35 and continue: 354 / 61

Step 5:
61 can be fit into 354 5 times, resulting in a remainder of 49.
Write down 5 as next digit of the result. 
Result so far: 275.0
Subtract 305 from 354 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 6:
If we divide 490 by 61, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 275.8
The remainder is 2 after subtracting 488 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
If we divide 20 by 61, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 275.8
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
61 can be fit into 200 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 275.803
Subtract 183 from 200 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
170 divided by 61 is 2 with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 275.8032
Deduct 122 from 170 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 10:
If we divide 480 by 61, we get 7 and a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 275.80327
If we subtract 427 from 480, 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.

Let's proceed to step 11:
If we divide 530 by 61, we get 8 and a remainder of 42.
The next digit of our result is 8. 
Result so far: 275.803278
Deduct 488 from 530 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 12:
420 divided by 61 is 6 with a remainder of 54.
The next digit of our result is 6. 
Result so far: 275.8032786
Subtract 366 from 420 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 13:
If we divide 540 by 61, we get 8 and a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 275.80327868
Deduct 488 from 540 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Our division results in 275.80327868 with a remaining 5.2e-08.