We're dividing 763629 by 27 
We want to figure out the number of times 763629 can be divided by 27.

Step 1:
The number 27 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 27

On to step 2:
27 can be fit into 76 2 times, resulting in a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 54 from 76 and we're left with 22.
Take the next digit (3) from the dividend and append it to 22, then repeat: 223 / 27

Going ahead to step 3:
27 can be fit into 223 8 times, resulting in a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
If we subtract 216 from 223, we get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 27

Advancing to step 4:
27 can be fit into 76 2 times, resulting in a remainder of 22.
The next digit of our result is 2. 
Result so far: 282.0
If we subtract 54 from 76, we get 22.
Grab the next digit (2) from the dividend, add it to 22, then carry on: 222 / 27

Step 5:
27 can be fit into 222 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 2828.0
Subtract 216 from 222 to get 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 27

Advancing to step 6:
The number 27 fits into 69 2 times, leaving a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 28282.0
If we take 54 away from 69, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
150 divided by 27 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 28282.5
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
If we divide 150 by 27, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 28282.55
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 28282.55 with a remaining 0.015.