We're dividing 614421 by 25 
We want to figure out the number of times 614421 can be divided by 25.

Let's proceed to step 1:
6 divided by 25 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 25

On to step 2:
When dividing 61 by 25, we get 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 50 from 61 to get 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 25

Going ahead to step 3:
If we divide 114 by 25, we get 4 and a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 24.0
Deduct 100 from 114 and we're left with 14.
Grab the next digit (4) from the dividend, add it to 14, then carry on: 144 / 25

Let's proceed to step 4:
25 goes into 144 5 times with a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 245.0
Subtracting 125 from 144 leaves us with 19.
Append the next digit (2) from the dividend to 19 and continue with: 192 / 25

On to step 5:
The number 25 fits into 192 7 times, leaving a remainder of 17.
The next digit of our result is 7. 
Result so far: 2457.0
If we take 175 away from 192, we end up with 17.
Take the next digit (1) from the dividend and append it to 17, then repeat: 171 / 25

Step 6:
The number 25 fits into 171 6 times, leaving a remainder of 21.
The next digit of our result is 6. 
Result so far: 24576.0
If we subtract 150 from 171, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
The number 25 fits into 210 8 times, leaving a remainder of 10.
The next digit of our result is 8. 
Result so far: 24576.8
Subtract 200 from 210 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
If we divide 100 by 25, we get 4 and a remainder of 0.
The next digit of our result is 4. 
Result so far: 24576.84
If we subtract 100 from 100, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 24576.84
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 24576.84
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 24576.84 and a remainder of 0.0.