684134 ÷ 27 
Our goal is to divide 684134 by 27.

Going ahead to step 1:
When dividing 6 by 27, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 27

On to step 2:
27 can be fit into 68 2 times, resulting in a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 54 from 68 leaves us with 14.
Grab the next digit (4) from the dividend, add it to 14, then carry on: 144 / 27

Advancing to step 3:
144 divided by 27 is 5 with a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
If we take 135 away from 144, we end up with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 27

Let's proceed to step 4:
The number 27 fits into 91 3 times, leaving a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 253.0
The remainder is 10 after subtracting 81 from 91.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 27

Advancing to step 5:
When dividing 103 by 27, we get 3 with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 2533.0
The remainder is 22 after subtracting 81 from 103.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 27

On to step 6:
If we divide 224 by 27, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 25338.0
The remainder is 8 after subtracting 216 from 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
If we divide 80 by 27, we get 2 and a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 25338.2
Subtract 54 from 80 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
27 goes into 260 9 times with a remainder of 17.
The next digit of our result is 9. 
Result so far: 25338.29
If we subtract 243 from 260, we 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.

Step 9:
If we divide 170 by 27, we get 6 and a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 25338.296
If we subtract 162 from 170, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
80 divided by 27 is 2 with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 25338.2962
If we subtract 54 from 80, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 11:
27 can be fit into 260 9 times, resulting in a remainder of 17.
The next digit of our result is 9. 
Result so far: 25338.29629
If we take 243 away from 260, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 12:
When dividing 170 by 27, we get 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 25338.296296
The remainder is 8 after subtracting 162 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
27 can be fit into 80 2 times, resulting in a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 25338.2962962
Subtract 54 from 80 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 14:
The number 27 fits into 260 9 times, leaving a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 25338.29629629
If we subtract 243 from 260, we 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.

After the division, we end up with 25338.29629629 and a remainder of 1.7e-08.