We divide 646684 by 27
We want to figure out the number of times 646684 can be divided by 27.

On to step 1:
If we divide 6 by 27, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 27

Moving on to step 2:
The number 27 fits into 64 2 times, leaving a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 54 from 64 leaves us with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 27

On to step 3:
27 goes into 106 3 times with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
If we subtract 81 from 106, we get 25.
Fetch the next digit (6) from the dividend, attach it to 25 and continue: 256 / 27

Moving on to step 4:
27 goes into 256 9 times with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 239.0
If we take 243 away from 256, we end up with 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 27

Moving on to step 5:
The number 27 fits into 138 5 times, leaving a remainder of 3.
The next digit of our result is 5. 
Result so far: 2395.0
Subtract 135 from 138 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 27

Let's proceed to step 6:
When dividing 34 by 27, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 23951.0
The remainder is 7 after subtracting 27 from 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
27 goes into 70 2 times with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 23951.2
If we subtract 54 from 70, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
The number 27 fits into 160 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 23951.25
Deduct 135 from 160 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
The number 27 fits into 250 9 times, leaving a remainder of 7.
The next digit of our result is 9. 
Result so far: 23951.259
Deduct 243 from 250 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 10:
70 divided by 27 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 23951.2592
If we subtract 54 from 70, we get 16.
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:
When dividing 160 by 27, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 23951.25925
Subtracting 135 from 160 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 12:
27 can be fit into 250 9 times, resulting in a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 23951.259259
The remainder is 7 after subtracting 243 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
If we divide 70 by 27, we get 2 and a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 23951.2592592
Subtracting 54 from 70 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
27 can be fit into 160 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 23951.25925925
If we subtract 135 from 160, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 23951.25925925, with a leftover of 2.5e-08.