Today, I showed Bubs how to do long division using the stamp game. He practiced writing it down on paper as well. He tried to jump straight to paper and was struggling a bit, so we brought out the stamp game for reinforcements. He has pretty much mastered racks and tubes and feels like the stamp game is "baby" work and actually started crying like a "baby" today when I told him to go get it off of the shelf!
Once we moved past all of the tears, he set up his problem. He divided 4,297 by 28. The white strip is his division bar. He lays out all of the tiles for the dividend and writes the divisor on a piece of paper. (Sorry, the picture doesn't show the number on the white paper very well.)
He uses his button (the green circle above the division bar) to keep track of which category he is working on. He then asks himself the question, "How many groups of 28 can I make with 4 thousands?" His answer is zero.
He moves the button over the hundreds category. The thousands and hundreds get pushed together. Then he asks his question again. "How many groups of 28 can I make with 42 hundreds?" He now needs to exchange one of his thousand tiles for 10 red hundred tiles.
He exchanges his tile and then makes one group of 28. His remaining tiles are 1 thousand tile and 4 hundred tiles.
He records his answer on his paper. He put a 1 above the 2 in his dividend. He asks the question of how many did he use. The answer is 28 of 42. His remainder is 14. This should match the amount of tiles he has left over. Ideally, he writes his number on a blank ticket and places it in the correct category column above the division bar along with recording it on his paper.
The button is now moved over the ten category column. At this point, thousands, hundreds, and tens need to be pushed together. Remember, since the divisor has two digits, he can only have two different colors, or categories to work with. He will need to exchange his green thousand tile for 10 hundred tiles.
"How many groups of 28 can I make with 140 tens?" He starts sharing the tiles and comes up with 5 groups. He has 9 tiles left over. Bubs records his answer on his paper.
Now he brings down his final category of units to meet up with his tens that were remaining.
He shares all of his tiles and is left with 13.
Records it on paper.
This is what the final problem should look like all laid out. You can see how the categories end up at the bottom by the time you reach the units so the child can visualize that the number needs to be "brought down". Oh my...just seeing those random pencils in the picture again. Bubs! He was obsessed with getting those in the pics.
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