Write division equations with remainders

Represents a whole-number division situation with an equation that identifies the dividend, divisor, whole-number quotient, and remainder, such as $37 \div 5 = 7\text{ R }2$ , or $37 = 5 \times 7 + 2$ . The remainder is the amount left after equal groups are formed and must be less than the divisor; interpretations that require rounding, decimal quotients, or fractional remainders are beyond this understanding.

Detailed Explanation: Write division equations with remainders

When a whole number cannot be divided into equal groups with nothing left over, the leftover amount is called the remainder.

Example: There are $29$ pencils. Put them into groups of $4$ . How many full groups can you make, and how many pencils are left?

Find the greatest number of groups of $4$ that fit into $29$ :

4 \times 7=28

So, you can make $7$ full groups.

Find how many pencils are left:

29-28=1

There is $1$ pencil left.

Write the division equation:

29\div 4=7\text{ R }1

Here:

$29$ is the dividend—the number being divided.
$4$ is the divisor—the size of each group.
$7$ is the quotient—the number of full groups.
$1$ is the remainder—the amount left over.

You can also write the same situation as:

29=4\times 7+1

Always check that the remainder is less than the divisor. Here, $1<4$ , so the equation makes sense.

Learn by doing: Write division equations with remainders

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Long Division - With Remainder 3 x 1

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Write division equations with remainders

Detailed Explanation: Write division equations with remainders

Learn by doing: Write division equations with remainders

Practice with unlimited practice problems

Practice:

Long Division - With Remainder 3 x 1