Honeybee has been learning long division, and I wanted to demonstrate what the algorithm means by using manipulatives. Here’s What we started with: 368
We need to break this up into groups of 4, starting with the hundreds. Since we only have 3 hundreds, we can’t make any groups of 4 hundreds, we can put a zero in the hundreds place if we like. We still have 3 hundreds left over, we will break them up into tens and combine them with whatever tens we already have.
Now we need to figure out how many groups of 4 tens we can make out of 36 tens.
Outstanding, 36 tens made into groups of four gives us 9 groups. We can write a 9 in the tens place, and move on to the units.
8 units can be made into 2 groups of 4, and once again we have no remainder. We write a 2 in the units place, and we’re done with our division. Looks like this: