How to Calculate Division with Remainders

Core Concepts

Practice the step-by-step process of solving division problems that result in a remainder. Master the mechanics of finding both the quotient and the remainder.

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Writing and Checking Division with Remainders
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How to Calculate Division with Remainders

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$$ 50 \div 7 = ? $$
$$ 7 \text{ R } 1 $$ (\(7 \times 7 = 49\), with \(1\) left over)
$$ 10 \div 3 = ? $$
$$ 3 \text{ R } 1 $$ (\(3 \times 3 = 9\), with \(1\) left over)
$$ 17 \div 5 = ? $$
$$ 3 \text{ R } 2 $$ (\(5 \times 3 = 15\), with \(2\) left over)
$$ 22 \div 4 = ? $$
$$ 5 \text{ R } 2 $$ (\(4 \times 5 = 20\), with \(2\) left over)
$$ 35 \div 8 = ? $$
$$ 4 \text{ R } 3 $$ (\(8 \times 4 = 32\), with \(3\) left over)
$$ 49 \div 6 = ? $$
$$ 8 \text{ R } 1 $$ (\(6 \times 8 = 48\), with \(1\) left over)
$$ 9 \div 2 = ? $$
$$ 4 \text{ R } 1 $$ (\(2 \times 4 = 8\), with \(1\) left over)
$$ 13 \div 9 = ? $$
$$ 1 \text{ R } 4 $$ (\(9 \times 1 = 9\), with \(4\) left over)
$$ 28 \div 5 = ? $$
$$ 5 \text{ R } 3 $$ (\(5 \times 5 = 25\), with \(3\) left over)
$$ 65 \div 8 = ? $$
$$ 8 \text{ R } 1 $$ (\(8 \times 8 = 64\), with \(1\) left over)
Find the quotient and remainder for \(31 \div 7\).
The quotient is \(4\) and the remainder is \(3\). (\(7 \times 4 = 28\), and \(31 - 28 = 3\))
Find the quotient and remainder for \(44 \div 5\).
The quotient is \(8\) and the remainder is \(4\). (\(5 \times 8 = 40\), and \(44 - 40 = 4\))
$$ 58 \div 9 = ? $$
$$ 6 \text{ R } 4 $$ (\(9 \times 6 = 54\), with \(4\) left over)
$$ 75 \div 10 = ? $$
$$ 7 \text{ R } 5 $$ (\(10 \times 7 = 70\), with \(5\) left over)
What is the first step to solve \(23 \div 4\)?
Think about multiples of the divisor (\(4\)). How many times can \(4\) go into \(23\) without going over? \(4, 8, 12, 16, 20, 24\)... It can go in \(5\) times.
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