156 ÷ 6
Imagine one hundred fifty-six cookies shared evenly among six friends. How many cookies does each friend get?
Write the problem: one fifty-six inside the long-division house, six on the outside.
We'll use partial quotients — take out big, easy chunks. How many sixes fit inside one fifty-six?
Twenty sixes make one hundred twenty — that fits! Write twenty in the partial-quotients column.
Twenty times six is one hundred twenty. Write minus one twenty under one fifty-six.
One fifty-six minus one twenty leaves thirty-six.
Now keep going. How many sixes fit inside thirty-six?
Six sixes is exactly thirty-six. Add six to the partial-quotients column.
Six times six is thirty-six. Write minus thirty-six.
Thirty-six minus thirty-six is zero. No remainder!
Now add up the partial quotients: twenty plus six equals twenty-six.
One hundred fifty-six divided by six is twenty-six. Each friend gets twenty-six cookies!