413794 ÷ 25 
We want to figure out the number of times 413794 can be divided by 25.

On to step 1:
25 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 25

Let's proceed to step 2:
The number 25 fits into 41 1 times, leaving a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 25 away from 41, we end up with 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 25

Advancing to step 3:
25 goes into 163 6 times with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we take 150 away from 163, we end up with 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 25

Let's proceed to step 4:
If we divide 137 by 25, we get 5 and a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 165.0
Subtracting 125 from 137 leaves us with 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 25

On to step 5:
If we divide 129 by 25, we get 5 and a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 1655.0
Deduct 125 from 129 and we're left with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 25

On to step 6:
If we divide 44 by 25, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 16551.0
Deduct 25 from 44 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
The number 25 fits into 190 7 times, leaving a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 16551.7
If we subtract 175 from 190, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
When dividing 150 by 25, we get 6 with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 16551.76
Deduct 150 from 150 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.

Let's proceed to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 16551.76
Deduct 0 from 0 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.

Going ahead to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 16551.76
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 quotient of the division is 16551.76, and the remainder is 0.0.