We're dividing 1329 by 53 
We're looking to find how many times 53 goes into 1329.

Step 1:
When dividing 1 by 53, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 53

Let's proceed to step 2:
13 divided by 53 is 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 53

Going ahead to step 3:
53 goes into 132 2 times with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 106 away from 132, we end up with 26.
Bring next digit (9) of the dividend behind the 26 and repeat the process: 269 / 53

On to step 4:
When dividing 269 by 53, we get 5 with a remainder of 4.
The next digit of our result is 5. 
Result so far: 25.0
The remainder is 4 after subtracting 265 from 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 5:
53 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 25.0
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 6:
When dividing 400 by 53, we get 7 with a remainder of 29.
The next digit of our result is 7. 
Result so far: 25.07
Subtract 371 from 400 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
53 goes into 290 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 25.075
Deduct 265 from 290 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.

Moving on to step 8:
When dividing 250 by 53, we get 4 with a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 25.0754
If we take 212 away from 250, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 9:
If we divide 380 by 53, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 25.07547
Subtracting 371 from 380 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 10:
90 divided by 53 is 1 with a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 25.075471
Subtract 53 from 90 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 11:
If we divide 370 by 53, we get 6 and a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 25.0754716
If we take 318 away from 370, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 12:
When dividing 520 by 53, we get 9 with a remainder of 43.
Put 9 as the next digit of the answer. 
Result so far: 25.07547169
Deduct 477 from 520 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final result is 25.07547169 with a remainder of 4.3e-08.