199674 ÷ 25 
Our goal is to divide 199674 by 25.

On to step 1:
25 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 25

Let's proceed to step 2:
If we divide 19 by 25, we get 0 and a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 19, we get 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 25

Step 3:
If we divide 199 by 25, we get 7 and a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 175 away from 199, we end up with 24.
Take the next digit (6) from the dividend and append it to 24, then repeat: 246 / 25

Moving on to step 4:
246 divided by 25 is 9 with a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 79.0
Subtracting 225 from 246 leaves us with 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 25

Advancing to step 5:
217 divided by 25 is 8 with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 798.0
If we take 200 away from 217, we end up with 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 25

Advancing to step 6:
174 divided by 25 is 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 7986.0
If we take 150 away from 174, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
25 can be fit into 240 9 times, resulting in a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 7986.9
The remainder is 15 after subtracting 225 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to 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: 7986.96
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:
0 divided by 25 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 7986.96
If we take 0 away from 0, we end up 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.

Moving on to step 10:
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: 7986.96
If we take 0 away from 0, we end up 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.

Our division results in 7986.96 with a remaining 0.0.