Let's divide 181951 by 25
Our goal is to divide 181951 by 25.

Step 1:
1 divided by 25 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 25

Going ahead to step 2:
The number 25 fits into 18 0 times, leaving a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 18, we end up with 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 25

Going ahead to step 3:
If we divide 181 by 25, we get 7 and a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 175 from 181 and we're left with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 25

Going ahead to step 4:
If we divide 69 by 25, we get 2 and a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 72.0
Subtracting 50 from 69 leaves us with 19.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 25

Advancing to step 5:
195 divided by 25 is 7 with a remainder of 20.
The next digit of our result is 7. 
Result so far: 727.0
Subtracting 175 from 195 leaves us with 20.
Fetch the next digit (1) from the dividend, attach it to 20 and continue: 201 / 25

Going ahead to step 6:
25 can be fit into 201 8 times, resulting in a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 7278.0
If we take 200 away from 201, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
25 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 7278.0
If we subtract 0 from 10, 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:
25 can be fit into 100 4 times, resulting in a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 7278.04
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.

Let's proceed to step 9:
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: 7278.04
If we subtract 0 from 0, we 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.

Step 10:
0 divided by 25 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 7278.04
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.

The quotient of the division is 7278.04, and the remainder is 0.0.