We can calculate binary division problems using the same technique as long division in the decimal system. It will be helpful to review some of the basic terms for division. Consider the division problem below.
In this problem, the red 6 is the divisor, the blue 33 is the dividend, the black 5 is the quotient, and the green 3 is the remainder. We will use these same terms to describe how binary division is done. 
5 633 30 3 
Now let's look at a simple division problem in binary: 11_{2} / 10_{2} or 3_{10} / 2_{10}. This time 10_{2} is the divisor and 11_{2} is the dividend. The steps below show how to find the quotient which is 1.1_{2}.

1011 

1 1011 10 1 

1. 1011.0 10 1 

1. 1011.0 10 10 

1.1 1011.0 10 10 10 0 
When doing binary division, we need to remember some important rules:
 When the remainder is greater than or equal to the divisor, write a 1 in the quotient and subtract.
 When the remainder is less than the divisor, write a 0 in the quotient and add another digit from the dividend.
 If all the digits of the dividend have been considered and there is still a remainder, mark a radix point in the dividend and append a zero. Remember that some fractions do not have an exact representation in binary, so not all division problems will terminate.
The animation below demonstrates these rules by explaining how to divide 100001_{2} by 110_{2}. Click on the "Start Tutorial" button to view the animation.