3rd grade · 12 facts · division

Dividing by 7

Dividing by 7 is the 7 times table read backwards: 56 ÷ 7 = 8 because 7 × 8 = 56. Sevens have no handy ending pattern, so these facts rest on knowing the multiplication, and that is the honest advice for this page: get the 7s solid and the division follows.

Several of these facts are known by now through other tables. 14 ÷ 7, 21 ÷ 7, 35 ÷ 7 and 70 ÷ 7 come from the 2s, 3s, 5s and 10s. The four that need real practice are 42 ÷ 7, 49 ÷ 7, 56 ÷ 7 and 84 ÷ 7.

All 12 divide-by-7 facts

  • 7 ÷ 7 = 1
  • 14 ÷ 7 = 2
  • 21 ÷ 7 = 3
  • 28 ÷ 7 = 4
  • 35 ÷ 7 = 5
  • 42 ÷ 7 = 6
  • 49 ÷ 7 = 7
  • 56 ÷ 7 = 8
  • 63 ÷ 7 = 9
  • 70 ÷ 7 = 10
  • 77 ÷ 7 = 11
  • 84 ÷ 7 = 12

Every fact here divides evenly. Division with remainders comes in 4th grade.

Printable practice sheet (PDF) — 24 problems: the 12 facts in order, then the same facts mixed up. The answer key is on page 2. Free to print, no sign-up.

Timed drill: dividing by 7

12 facts in a random order. A right answer within 3 seconds counts as by heart. Free, no sign-up, and nothing is saved: it all happens on this screen.

Type with the keypad or your keyboard, then press Check or Enter.

What to notice

A week has 7 days, which turns these facts into calendar questions: 28 days is 4 weeks, and 63 days is 9 weeks. If your child likes calendars, counting the rows is a good way to check.

Each fact has a fact-family partner on another page: 56 ÷ 7 = 8 goes with 56 ÷ 8 = 7. When your child learns one, point out the other.

Because the 7s answers have no ending pattern, the only way to tell whether a number divides by 7 is to try: does 7 times something make it? 63 does, since 7 × 9 = 63; 64 does not.

The 5-and-2 split works backwards too. 56 is 35 and 21, which is five 7s and three 7s, so 56 ÷ 7 = 8. It is slower than knowing the fact, but it gets a stuck child to the right answer without guessing.

How to practise at home

  • Learn one hard fact at a time: spend a few days on 49 ÷ 7, then add 56 ÷ 7.
  • Use a calendar: point at the 28th and ask how many full weeks have gone by.
  • Say the multiplication with each division fact: “42 ÷ 7 is 6, because 7 × 6 = 42.”
  • Use the drill on this page; if many facts are slow, drill the 7 times table first and come back.
  • Pick a fact of the week: write 49 ÷ 7 = 7 on the fridge on Monday, ask it at dinner each night, and swap it for a new fact the following week.

Slips to watch for

  • Mixing up 56 ÷ 7 and 54 ÷ 6, which sit close together in the tables, and answering 9 for 56 ÷ 7. Say the multiplication in full: 7 × 8 = 56.
  • Answering 6 for 49 ÷ 7. Anchor 7 × 7 = 49 as “one less than 50”.
  • Trying to divide a number that is not in the 7s, such as 50, which leaves a remainder. That is fine to notice, and a good moment to say that remainders come later.

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