We look at the division of 634625 by 27 
We want to divide 634625 by 27.

Let's proceed to step 1:
The number 27 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 27

Let's proceed to step 2:
63 divided by 27 is 2 with a remainder of 9.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 54 from 63 leaves us with 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 27

Moving on to step 3:
27 goes into 94 3 times with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Subtract 81 from 94 to get 13.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 27

Advancing to step 4:
136 divided by 27 is 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 235.0
Subtracting 135 from 136 leaves us with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 27

Moving on to step 5:
27 can be fit into 12 0 times, resulting in a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 2350.0
Subtracting 0 from 12 leaves us with 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 27

Going ahead to step 6:
If we divide 125 by 27, we get 4 and a remainder of 17.
The next digit of our result is 4. 
Result so far: 23504.0
Subtracting 108 from 125 leaves us 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.

Going ahead to step 7:
When dividing 170 by 27, we get 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 23504.6
If we take 162 away from 170, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
27 goes into 80 2 times with a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 23504.62
If we take 54 away from 80, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 9:
260 divided by 27 is 9 with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 23504.629
Deduct 243 from 260 and we're left 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.

Moving on to step 10:
27 goes into 170 6 times with a remainder of 8.
The next digit of our result is 6. 
Result so far: 23504.6296
If we take 162 away from 170, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
When dividing 80 by 27, we get 2 with a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 23504.62962
Deduct 54 from 80 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 12:
27 goes into 260 9 times with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 23504.629629
The remainder is 17 after subtracting 243 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 13:
The number 27 fits into 170 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 23504.6296296
Subtracting 162 from 170 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
80 divided by 27 is 2 with a remainder of 26.
The next digit of our result is 2. 
Result so far: 23504.62962962
Subtracting 54 from 80 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 23504.62962962 with a remainder of 2.6e-08.