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Basic division

Whole answers, no remainders, with answer keys.

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Basic Division

  1. 1.36÷3=
  2. 2.44÷4=
  3. 3.84÷7=
  4. 4.40÷10=
  5. 5.42÷7=
  6. 6.9÷3=
  7. 7.12÷6=
  8. 8.35÷5=
  9. 9.6÷6=
  10. 10.8÷4=
  11. 11.35÷7=
  12. 12.55÷5=
  13. 13.72÷9=
  14. 14.28÷4=
  15. 15.80÷10=
  16. 16.27÷9=
  17. 17.80÷8=
  18. 18.50÷5=
  19. 19.72÷6=
  20. 20.63÷7=

Created for free at puzzleandprint.com

Basic Division, Answer Key

  1. 1.36÷3=12
  2. 2.44÷4=11
  3. 3.84÷7=12
  4. 4.40÷10=4
  5. 5.42÷7=6
  6. 6.9÷3=3
  7. 7.12÷6=2
  8. 8.35÷5=7
  9. 9.6÷6=1
  10. 10.8÷4=2
  11. 11.35÷7=5
  12. 12.55÷5=11
  13. 13.72÷9=8
  14. 14.28÷4=7
  15. 15.80÷10=8
  16. 16.27÷9=3
  17. 17.80÷8=10
  18. 18.50÷5=10
  19. 19.72÷6=12
  20. 20.63÷7=9

Created for free at puzzleandprint.com

Or take one that is already made

Four sheets in three lengths, 20, 50 and 100 problems. Every one is a two-page PDF, the worksheet, then the answer key on its own page.

Basic division math worksheet printable, warm up: 20 problemsBasic division math worksheet, warm up20 problemsDownload PDF ↓Basic division math worksheet printable, everyday: 50 problemsBasic division math worksheet, everyday50 problemsDownload PDF ↓Basic division math worksheet printable, timed test: 100 problemsBasic division math worksheet, timed test100 problemsDownload PDF ↓Basic division math worksheet printable, second set: 50 problemsBasic division math worksheet, second set50 problemsDownload PDF ↓

Every sheet here is free to print as often as you like. If one saved you time, the tip jar is on Ko-fi.

Division is most usefully introduced as the inverse of multiplication rather than as a new procedure, and these sheets are built for exactly that. Divisors run from 2 to 10 and the answers from 1 to 12, so every problem is a times-table fact read backwards.

Nothing here has a remainder. Each problem starts from a divisor and an answer, and the number being divided is simply their product, so 7 and 6 give 42 ÷ 7 = 6, and a problem such as 43 ÷ 7 can never appear. Remainders are a separate topic and mixing them in early tends to muddle both.

Fluency in the times tables decides how quickly this goes, since a slip here is usually a multiplication slip. The timed test makes the weak spot easy to find, because each divisor from 2 to 10 turns up on it 10 to 12 times; if the errors cluster around one divisor, drill that table instead.

Twenty problems is a reasonable warm-up; fifty is the everyday sheet. The answer key prints separately.

Which division facts are on the basic division sheets, and which are not

The basic division sheets divide by every number from 2 to 10 with answers from 1 to 12, which makes 108 different problems, from 2 ÷ 2 = 1 up to 120 ÷ 10 = 12. Dividing by 1 is left out, and so are 11 and 12 as divisors: 88 ÷ 8 = 11 can appear, but 88 ÷ 11 = 8 never does. Nine of the problems have an answer of 1, a number divided by itself, from 2 ÷ 2 to 10 ÷ 10. The largest number divided is 120, and 54 different numbers are divided across the 108 problems, many of them more than once by different divisors.

With only 108 problems to draw from, the hundred-problem timed test uses all but eight of them; the copy here leaves out 9 ÷ 3, 12 ÷ 3, 24 ÷ 4, 20 ÷ 5, 66 ÷ 6, 35 ÷ 7, 16 ÷ 8 and 72 ÷ 9. That makes it close to a complete check of these facts in one sitting. The small pool also means the sheets overlap more than other drills do: the everyday sheet and the second set share 26 of their 50 problems. For a set with less in common, press New problems in the maker, which draws again from the same 108 each time.

Why 24 turns up more than any other number on a basic division sheet

Twenty-four can be divided five ways within these limits, by 2, 3, 4, 6 and 8, so it is the number divided most often across the 108 problems; 12, 18, 20, 30, 36 and 40 come next with four ways each. Seeing 24 ÷ 3 = 8 and 24 ÷ 8 = 3 on the same sheet is the fact family at work: both come from 3 × 8 = 24, and a child who knows the multiplication already has both divisions. Reading 48 ÷ 8 as "how many eights make 48" turns each problem back into the times table it came from, which is the quickest route to an answer.

Division has two everyday meanings, sharing 24 candies among 3 people and packing 24 candies into bags of 3, and the same 24 ÷ 3 = 8 answers both: 8 each, or 8 bags. On a sheet of bare numbers the grouping reading is the one that maps straight onto the times table, because "how many threes make 24" is the three times table run backwards. Answers of 11 and 12 come only from the top of each table, such as 99 ÷ 9 = 11 and 84 ÷ 7 = 12, and they are where a child who learned the tables only as far as 10 will stop.

Common questions

Are there ever any remainders?

None, on the ready-made sheets or on any sheet the maker produces. On these sheets every number divided is a multiple of its divisor, so 25 appears only as 25 ÷ 5 and never as 25 ÷ 4, and 7 is only ever divided by 7; no divisor is ever zero.

Should this come before or after the times tables?

After. Every problem undoes a fact from the 2 to 10 times tables as far as ×12, so 108 ÷ 9 = 12 and 77 ÷ 7 = 11 need the top of those tables too. The warm-up is the gentlest start: its 20 problems stop at an answer of 11, and only three of them go above 10.

How do I add dividing by 11 and 12 to these division sheets?

In the maker on this page, set the Divide by range to run from 2 to 12 instead of 2 to 10, and leave Answers between at 1 to 12. That gives 132 problems, up to 144 ÷ 12 = 12, and every one still comes out exactly.

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