We divide 135415 by 52
Our goal is to divide 135415 by 52.

Step 1:
If we divide 1 by 52, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 52

Moving on to step 2:
52 can be fit into 13 0 times, resulting in a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 52

Let's proceed to step 3:
The number 52 fits into 135 2 times, leaving a remainder of 31.
The next digit of our result is 2. 
Result so far: 2.0
If we take 104 away from 135, we end up with 31.
Grab the next digit (4) from the dividend, add it to 31, then carry on: 314 / 52

Moving on to step 4:
52 goes into 314 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
If we subtract 312 from 314, we get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 52

Advancing to step 5:
52 goes into 21 0 times with a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 260.0
If we take 0 away from 21, we end up with 21.
Include the next digit (5) from the dividend after 21, then repeat: 215 / 52

On to step 6:
52 goes into 215 4 times with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 2604.0
Deduct 208 from 215 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.

Moving on to step 7:
The number 52 fits into 70 1 times, leaving a remainder of 18.
The next digit of our result is 1. 
Result so far: 2604.1
Deduct 52 from 70 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
180 divided by 52 is 3 with a remainder of 24.
Use 3 as the next digit of our solution. 
Result so far: 2604.13
If we subtract 156 from 180, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
If we divide 240 by 52, we get 4 and a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 2604.134
Subtracting 208 from 240 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
52 can be fit into 320 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 2604.1346
Subtracting 312 from 320 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 11:
80 divided by 52 is 1 with a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 2604.13461
Deduct 52 from 80 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 12:
52 can be fit into 280 5 times, resulting in a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 2604.134615
Deduct 260 from 280 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
When dividing 200 by 52, we get 3 with a remainder of 44.
The number 3 becomes the next digit in our result. 
Result so far: 2604.1346153
Subtract 156 from 200 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 14:
52 goes into 440 8 times with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 2604.13461538
The remainder is 24 after subtracting 416 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 2604.13461538 with a balance of 2.4e-08.