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Division facts practice: learning the tables backwards

42 ÷ 7 is not a new fact; it is 7 × 6 read from the other end. Children who struggle with division almost always have gaps in the tables underneath it.

Reading time: 4 min · Updated September 2026

One fact, four questions

6 × 7 = 42, 7 × 6 = 42, 42 ÷ 6 = 7, 42 ÷ 7 = 6. Schools call this a fact family. A child who has met all four together does not learn division as a separate subject; they learn to turn a division around into the multiplication they already know.

The teaching question is therefore always the same: "7 times what makes 42?" Once that reframing is automatic, division facts arrive at the same speed as the tables.

Order and common snags

Follow the tables order: dividing by 2, 10 and 5 first, then 4, 3, 6, 9, then 7, 8 and 12. Two snags to watch for: dividing by 1 (the answer is the number itself, which feels like a trick), and the difference between 0 ÷ 5 and 5 ÷ 0 (the second has no answer — and never appears in the app).

In Kalko

Division is one of the four operations in both Practice and Challenge.

  1. Check the table first. Learn → Multiplication → the table you are about to divide by. If it is not 5/5, fix it there first.
  2. Practice → Easy → Division. Five questions with four choices. Encourage "times what?" out loud before choosing.
  3. Medium and Hard. Bigger dividends, mixed divisors, still with choices.
  4. Challenge → Division. Typed answers on a number pad. Level 1 uses the easy divisors; the ladder climbs from there.

Division levels are usually the last ladder a child completes; the home screen shows each operation's current level, so the gap is visible and motivating.

Download on the App Store

Tips

  • Write the four facts of a family on one card and read all four every time.
  • Use sharing language for young children: "42 sweets, 7 friends, how many each?"
  • Division by 7, 8 and 12 mirrors the hardest tables — expect them to take longest.

Questions about division

When do children learn division?

Informally from age 6 (sharing), formally alongside the tables from age 7–8 (Year 3 / CE2), with fluency expected by age 9–10.

Why does my child know 6 × 7 but not 42 ÷ 7?

Because the link has not been made explicit. Practise the four facts of each family together and ask "7 times what?" until the turnaround is automatic.

Kalko app icon: a rocket lifting off among +, −, × and ÷ blocks

Five minutes a day. Paid once.

No subscription, no ads, no account, no data collected. Times tables and mental maths for 6–11 year olds, on iPhone.

Download on the App Store

One-time purchase · Family Sharing · Works offline