We're dividing 7001 by 2 
We're looking to find how many times 2 goes into 7001.

Going ahead to step 1:
The number 2 fits into 7 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 6 from 7, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 2

Let's proceed to step 2:
The number 2 fits into 10 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Subtract 10 from 10 to get 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 2

Let's proceed to step 3:
The number 2 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 350.0
If we take 0 away from 0, we end up with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 2

Advancing to step 4:
1 divided by 2 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 3500.0
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.

Going ahead to step 5:
When dividing 10 by 2, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 3500.5
Deduct 10 from 10 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.

On to step 6:
When dividing 0 by 2, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 3500.5
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.

Going ahead to step 7:
When dividing 0 by 2, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 3500.5
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.

The final result is 3500.5 with a remainder of 0.0.