Division with remainders and word problems

Dividing with a remainder

$29\div4$: the biggest multiple of $4$ that fits is $28$, so the answer is $7$ remainder $1$. The remainder must be less than $4$; if you get a remainder of $5$, you stopped one group too early.

What to do with the remainder

Three different questions, three different answers, all from $29\div4$: how many full boxes? ($7$) how many boxes are needed? ($8$) how many are left over? ($1$). The arithmetic is the same; the question decides.

Reading a word problem

Underline the numbers, underline the question, then decide the operation. Words like each, shared, groups of point to division; altogether, in total point to addition or multiplication. But the words are hints, not rules — the meaning decides.