254194 ÷ 25 
We want to figure out the number of times 254194 can be divided by 25.

Advancing to step 1:
When dividing 2 by 25, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 25

Going ahead to step 2:
25 can be fit into 25 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 25 from 25 to get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 25

Going ahead to step 3:
25 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 25

Step 4:
The number 25 fits into 41 1 times, leaving a remainder of 16.
The next digit of our result is 1. 
Result so far: 101.0
Subtracting 25 from 41 leaves us with 16.
Fetch the next digit (9) from the dividend, attach it to 16 and continue: 169 / 25

Going ahead to step 5:
The number 25 fits into 169 6 times, leaving a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 1016.0
If we subtract 150 from 169, we get 19.
Append the next digit (4) from the dividend to 19 and continue with: 194 / 25

Step 6:
When dividing 194 by 25, we get 7 with a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 10167.0
Subtracting 175 from 194 leaves us 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.

Let's proceed to step 7:
25 goes into 190 7 times with a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 10167.7
The remainder is 15 after subtracting 175 from 190.
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:
25 can be fit into 150 6 times, resulting in a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 10167.76
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.

Step 9:
25 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10167.76
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.

Going ahead to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 10167.76
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 quotient of the division is 10167.76, and the remainder is 0.0.