We divide 417538 by 25
Our goal is to divide 417538 by 25.

Advancing to step 1:
When dividing 4 by 25, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 25

Let's proceed to step 2:
25 goes into 41 1 times with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 25 away from 41, we end up with 16.
Take the next digit (7) from the dividend and append it to 16, then repeat: 167 / 25

Moving on to step 3:
When dividing 167 by 25, we get 6 with a remainder of 17.
The next digit of our result is 6. 
Result so far: 16.0
Subtracting 150 from 167 leaves us with 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 25

On to step 4:
If we divide 175 by 25, we get 7 and a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 167.0
If we take 175 away from 175, we end up with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 25

Advancing to step 5:
When dividing 3 by 25, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 1670.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 25

Going ahead to step 6:
The number 25 fits into 38 1 times, leaving a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 16701.0
Subtracting 25 from 38 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
When dividing 130 by 25, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 16701.5
If we subtract 125 from 130, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
50 divided by 25 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 16701.52
The remainder is 0 after subtracting 50 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 16701.52
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.

Let's proceed 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: 16701.52
Subtracting 0 from 0 leaves us 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.

The final outcome is 16701.52, with a leftover of 0.0.