We're dividing 25667 by 52 
We want to figure out the number of times 25667 can be divided by 52.

Going ahead to step 1:
2 divided by 52 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 52

Step 2:
52 can be fit into 25 0 times, resulting in a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Include the next digit (6) from the dividend after 25, then repeat: 256 / 52

On to step 3:
52 can be fit into 256 4 times, resulting in a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 48 after subtracting 208 from 256.
Fetch the next digit (6) from the dividend, attach it to 48 and continue: 486 / 52

Advancing to step 4:
52 goes into 486 9 times with a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 49.0
If we subtract 468 from 486, we get 18.
Fetch the next digit (7) from the dividend, attach it to 18 and continue: 187 / 52

Going ahead to step 5:
When dividing 187 by 52, we get 3 with a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 493.0
Subtract 156 from 187 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 6:
When dividing 310 by 52, we get 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 493.5
The remainder is 50 after subtracting 260 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 7:
52 goes into 500 9 times with a remainder of 32.
Record the quotient 9 as the next digit in the result. 
Result so far: 493.59
Subtract 468 from 500 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
The number 52 fits into 320 6 times, leaving a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 493.596
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.

Going ahead to step 9:
80 divided by 52 is 1 with a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 493.5961
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.

Step 10:
The number 52 fits into 280 5 times, leaving a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 493.59615
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.

Step 11:
200 divided by 52 is 3 with a remainder of 44.
Put 3 as the next digit of the answer. 
Result so far: 493.596153
The remainder is 44 after subtracting 156 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 12:
52 can be fit into 440 8 times, resulting in a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 493.5961538
Subtract 416 from 440 to 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.

Step 13:
If we divide 240 by 52, we get 4 and a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 493.59615384
If we subtract 208 from 240, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 493.59615384 with a balance of 3.2e-08.