Align the two binary numbers by place value
Start subtracting from the rightmost bit
If the top bit is greater than or equal to the bottom bit, subtract directly
If the top bit is smaller, borrow 1 from the next left bit
After borrowing, continue subtracting the current column
Repeat the process for each bit moving left
If needed, borrow across multiple zeros until a 1 is found
Write the result bits in order from left to right
Remove any leading zeros from the final answer