145621 ÷ 25 
We're looking to find how many times 25 goes into 145621.

Let's proceed to step 1:
25 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 25

Step 2:
When dividing 14 by 25, we get 0 with a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 25

Step 3:
25 goes into 145 5 times with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 125 from 145, we get 20.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 25

Let's proceed to step 4:
206 divided by 25 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 58.0
If we take 200 away from 206, we end up with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 25

Advancing to step 5:
If we divide 62 by 25, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 582.0
If we take 50 away from 62, we end up with 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 25

Going ahead to step 6:
When dividing 121 by 25, we get 4 with a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 5824.0
The remainder is 21 after subtracting 100 from 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
The number 25 fits into 210 8 times, leaving a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 5824.8
If we subtract 200 from 210, we 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.

Moving on to step 8:
100 divided by 25 is 4 with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 5824.84
Deduct 100 from 100 and we're left with 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:
When dividing 0 by 25, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5824.84
The remainder is 0 after subtracting 0 from 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 10:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5824.84
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.

The final result is 5824.84 with a remainder of 0.0.