13414 ÷ 52 
Our goal is to divide 13414 by 52.

Advancing to step 1:
1 divided by 52 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 52

Let's proceed to step 2:
If we divide 13 by 52, we get 0 and a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 52

Step 3:
If we divide 134 by 52, we get 2 and a remainder of 30.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 104 from 134 to get 30.
Grab the next digit (1) from the dividend, add it to 30, then carry on: 301 / 52

Let's proceed to step 4:
52 can be fit into 301 5 times, resulting in a remainder of 41.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
The remainder is 41 after subtracting 260 from 301.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 52

Moving on to step 5:
The number 52 fits into 414 7 times, leaving a remainder of 50.
Write down 7 as next digit of the result. 
Result so far: 257.0
If we take 364 away from 414, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 6:
52 can be fit into 500 9 times, resulting in a remainder of 32.
Record the quotient 9 as the next digit in the result. 
Result so far: 257.9
If we take 468 away from 500, we end up 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.

Moving on to step 7:
52 can be fit into 320 6 times, resulting in a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 257.96
Deduct 312 from 320 and we're left 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:
If we divide 80 by 52, we get 1 and a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 257.961
The remainder is 28 after subtracting 52 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
If we divide 280 by 52, we get 5 and a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 257.9615
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.

Let's proceed to step 10:
52 can be fit into 200 3 times, resulting in a remainder of 44.
Use 3 as the next digit of our solution. 
Result so far: 257.96153
Subtracting 156 from 200 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 11:
52 goes into 440 8 times with a remainder of 24.
The next digit of our result is 8. 
Result so far: 257.961538
If we take 416 away from 440, we end up with 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 12:
The number 52 fits into 240 4 times, leaving a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 257.9615384
Deduct 208 from 240 and we're left 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.

Advancing to step 13:
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: 257.96153846
If we subtract 312 from 320, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 257.96153846 with a remainder of 8e-09.