4194 ÷ 2 
We want to figure out the number of times 4194 can be divided by 2.

Advancing to step 1:
4 divided by 2 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 4 from 4 leaves us with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 2

Moving on to step 2:
The number 2 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 20.0
Subtract 0 from 1 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 2

On to step 3:
The number 2 fits into 19 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 209.0
Subtract 18 from 19 to get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 2

Let's proceed to step 4:
2 goes into 14 7 times with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 2097.0
If we take 14 away from 14, 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 5:
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: 2097.0
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.

Let's proceed to step 6:
If we divide 0 by 2, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 2097.0
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.

After the division, we end up with 2097.0 and a remainder of 0.0.