Let's divide 4001 by 25
We're looking to find how many times 25 goes into 4001.

Advancing to step 1:
If we divide 4 by 25, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 25

Let's proceed to step 2:
25 goes into 40 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 25 from 40 to get 15.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 25

Let's proceed to step 3:
25 can be fit into 150 6 times, resulting in a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we subtract 150 from 150, we get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 25

Advancing to step 4:
25 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 160.0
If we take 0 away from 1, 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.

On to step 5:
25 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 160.0
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.

Step 6:
When dividing 100 by 25, we get 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 160.04
Subtracting 100 from 100 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.

Advancing to step 7:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 160.04
The remainder is 0 after subtracting 0 from 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 8:
0 divided by 25 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 160.04
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.

After the division, we end up with 160.04 and a remainder of 0.0.