We look at the division of 683408 by 27 
We're looking to find how many times 27 goes into 683408.

Let's proceed to step 1:
27 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 27

Advancing to step 2:
68 divided by 27 is 2 with a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 54 away from 68, we end up with 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 27

Going ahead to step 3:
27 can be fit into 143 5 times, resulting in a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Subtract 135 from 143 to get 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 27

Moving on to step 4:
27 goes into 84 3 times with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 253.0
The remainder is 3 after subtracting 81 from 84.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 27

On to step 5:
The number 27 fits into 30 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 2531.0
The remainder is 3 after subtracting 27 from 30.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 27

Advancing to step 6:
If we divide 38 by 27, we get 1 and a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 25311.0
Subtract 27 from 38 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
If we divide 110 by 27, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 25311.4
Deduct 108 from 110 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
When dividing 20 by 27, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 25311.4
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
If we divide 200 by 27, we get 7 and a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 25311.407
If we subtract 189 from 200, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
27 goes into 110 4 times with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 25311.4074
If we subtract 108 from 110, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
27 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 25311.4074
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 12:
The number 27 fits into 200 7 times, leaving a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 25311.407407
If we take 189 away from 200, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 13:
110 divided by 27 is 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 25311.4074074
Deduct 108 from 110 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 14:
When dividing 20 by 27, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 25311.4074074
Deduct 0 from 20 and we're left 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.

In conclusion, the division gives 25311.4074074 with a balance of 2e-08.