Division facts
Connect each division fact to a multiplication fact. Because 7 × 6 = 42, sharing 42 into seven equal groups gives six in each group. For a remainder, check that the remainder is smaller than the divisor and reconstruct the original number.
Choose a skill to practice
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- Division
- Division with remainders
- Multiples of 10 ÷ 1-digit
- 2-digit ÷ 1-digit long division
- 3-digit ÷ 1-digit
- 2-digit ÷ 2-digit
- 3-digit ÷ 2-digit
- Decimal ÷ integer
- Decimal ÷ decimal
Sharing and grouping lead to the same fact
Sharing 42 counters among seven people gives six each. Grouping 42 counters into groups of seven gives six groups. Both situations use 42 ÷ 7 = 6, but the answer describes a different thing. Ask what the quotient counts before calculating. A known product, 7 × 6 = 42, provides a quick route to the answer and a way to check it afterward.
Common errors: accepting a large remainder
For 43 ÷ 6, seven groups use 42 and leave one, so the quotient is 7 with remainder 1. A proposed answer of 6 remainder 7 has not finished grouping: the remainder still contains another group of six. Check both conditions: divisor × quotient + remainder equals the dividend, and the remainder is smaller than the divisor. In long division, keep each quotient digit over its correct place.
From exact division to decimals
Grade 3 introduces exact division, remainders and division of multiples of ten. Grade 4 develops written division with one- and two-digit divisors. Decimal division follows in later groups. If estimating a quotient is difficult, review the matching multiplication table. If the table is familiar but digits drift between columns, practice the written layout slowly and say what each intermediate remainder represents.