25409 ÷ 74 
Our goal is to divide 25409 by 74.

Step 1:
2 divided by 74 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 74

Let's proceed to step 2:
If we divide 25 by 74, we get 0 and a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Append the next digit (4) from the dividend to 25 and continue with: 254 / 74

Let's proceed to step 3:
74 can be fit into 254 3 times, resulting in a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 222 from 254 and we're left with 32.
Take the next digit (0) from the dividend and append it to 32, then repeat: 320 / 74

On to step 4:
The number 74 fits into 320 4 times, leaving a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 34.0
The remainder is 24 after subtracting 296 from 320.
Grab the next digit (9) from the dividend, add it to 24, then carry on: 249 / 74

Step 5:
249 divided by 74 is 3 with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 343.0
Subtracting 222 from 249 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 6:
The number 74 fits into 270 3 times, leaving a remainder of 48.
Write down 3 as next digit of the result. 
Result so far: 343.3
The remainder is 48 after subtracting 222 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 7:
480 divided by 74 is 6 with a remainder of 36.
Write down 6 as next digit of the result. 
Result so far: 343.36
Deduct 444 from 480 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
When dividing 360 by 74, we get 4 with a remainder of 64.
Put 4 as the next digit of the answer. 
Result so far: 343.364
Subtract 296 from 360 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 9:
640 divided by 74 is 8 with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 343.3648
Subtracting 592 from 640 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 10:
If we divide 480 by 74, we get 6 and a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 343.36486
Deduct 444 from 480 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 11:
When dividing 360 by 74, we get 4 with a remainder of 64.
Write down 4 as next digit of the result. 
Result so far: 343.364864
Subtracting 296 from 360 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 12:
When dividing 640 by 74, we get 8 with a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 343.3648648
If we subtract 592 from 640, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 13:
480 divided by 74 is 6 with a remainder of 36.
The next digit of our result is 6. 
Result so far: 343.36486486
Deduct 444 from 480 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 343.36486486 with a balance of 3.6e-08.