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By pinkjuice

I don't know if this is helful, but we teach it in smaller steps.

1. Split up the place value

300 + 50 + 6

2. Start with the hundreds, How many 20s are in 100? If you don't know, skip count.
Find the answer to 20s in 300. Save any leftovers and tack them onto the 10s.

300/20=15

2. Go to the 10s. Are there enough? Can you divide the tens into groups of 20? Save any leftovers and tack them onto the 10s

50/20 = 2 R.10

3. Go to the 1's. Are there enough? If there aren't enough, write your remainder or go to the decimal.

16/20

won't work.

So... 15+2+R.10 = 17 R. 10

On paper, it's a long horizontal rectangle with the original problem written on the left. The child rewrites a new problem for each place value then adds up the answers at the end to write the answer onto the original problem.

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Not the most amazing solution, but definitely breaks it up from that HUGE long division problem! Also, it will teach kids the thinking so when they are ready to use shorthand notation in the algorithm, they will transition smoothly.