I need your help with a lifelong problem I have always had. There are two things in life I hate most, 1) weddings and 2) Long division. For the life of me I hate division. I am horrible at it. I can multiple large numbers in my head but I can’t divide if my life depended on it. When the division operation is 2 digits over 1 or 2 digit, it’s not a major issue. But when I divide anything 3+ over a 2 digit number, it becomes an issue.
I am trying to find a way t divide that appeals to my abilities to multiply. I am trying to find another way to approach a division problem than the typical long division approach.
For example: 876/2. Simple enough Ans: 438. This isn’t a problem, Finding the new approach is. I am trying to break this division number into single digits. $$8=2(4)+0$$ $$7=2(3)+1$$ $$6=2(3)+0$$
My problem is how does this approach get me to 438? The numbers in the parenthesis get me to 433 with a summed remainder of 1. If I carry the one and put it on the first digit of my number, 3, I get 434.
In typical long division, the remainder is carried over. So $$8=2(4)+0$$ $$7=2(3)+1 $$(the remainder 1 is carried down) $$16=2(8)+0$$
Is there a way to do long division by doing the division individually on each number and then summing the remainder?