We look at the division of 13827 by 69 
We want to divide 13827 by 69.

On to step 1:
69 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 69

Advancing to step 2:
If we divide 13 by 69, we get 0 and a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 69

Moving on to step 3:
138 divided by 69 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 0 after subtracting 138 from 138.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 69

Advancing to step 4:
When dividing 2 by 69, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 20.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 69

Step 5:
The number 69 fits into 27 0 times, leaving a remainder of 27.
The next digit of our result is 0. 
Result so far: 200.0
Subtracting 0 from 27 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 6:
The number 69 fits into 270 3 times, leaving a remainder of 63.
Write down 3 as next digit of the result. 
Result so far: 200.3
If we subtract 207 from 270, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 7:
69 goes into 630 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 200.39
The remainder is 9 after subtracting 621 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
When dividing 90 by 69, we get 1 with a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 200.391
The remainder is 21 after subtracting 69 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 9:
When dividing 210 by 69, we get 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 200.3913
Subtracting 207 from 210 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
If we divide 30 by 69, we get 0 and a remainder of 30.
The next digit of our result is 0. 
Result so far: 200.3913
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 11:
The number 69 fits into 300 4 times, leaving a remainder of 24.
The next digit of our result is 4. 
Result so far: 200.391304
If we take 276 away from 300, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 12:
69 goes into 240 3 times with a remainder of 33.
Write down 3 as next digit of the result. 
Result so far: 200.3913043
Deduct 207 from 240 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 13:
If we divide 330 by 69, we get 4 and a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 200.39130434
Subtract 276 from 330 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.

In conclusion, the division gives 200.39130434 with a balance of 5.4e-08.