Let's divide 8361 by 2
We want to figure out the number of times 8361 can be divided by 2.

Let's proceed to step 1:
If we divide 8 by 2, we get 4 and a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 8 away from 8, we end up with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 2

Step 2:
3 divided by 2 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 41.0
Deduct 2 from 3 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 2

On to step 3:
If we divide 16 by 2, we get 8 and a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 418.0
The remainder is 0 after subtracting 16 from 16.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 2

Step 4:
2 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: 4180.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 5:
When dividing 10 by 2, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 4180.5
Subtract 10 from 10 to 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.

Advancing to step 6:
When dividing 0 by 2, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 4180.5
Subtracting 0 from 0 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.

Going ahead to step 7:
2 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 4180.5
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.

In conclusion, the division gives 4180.5 with a balance of 0.0.