Division Statements Up to 999

A division statement, also called a division number sentence, is a short math sentence that shows one number being split into equal groups. It always has the same three pieces: a starting amount, the size or number of the groups, and the answer. Written with symbols, a division statement looks like \( a \div b = c \), where \(a\) is the total you begin with, \(b\) is the number you are dividing by, and \(c\) is the result.

For numbers up to 999, division statements let you describe real situations, such as sharing 84 stickers among 4 friends, without drawing every group by hand. Once you can share or group objects (as in Sharing & Grouping Up to 999), writing the matching number sentence is simply a way of recording what you already did.

Every division statement has three named parts:

• Dividend: the total amount being divided.
• Divisor: the number of equal groups, or the size of each group.
• Quotient: the answer, showing how many are in each group (or how many groups there are).

To turn a word problem into a division statement, look for the total (dividend) and either the number of groups or the group size (divisor). For example: "A baker has 456 rolls to pack into boxes of 6. How many boxes does she need?" This becomes \( 456 \div 6 = 76 \), so she needs 76 boxes.

Because the numbers stay under 999, you may need to divide multi-digit numbers, which is the focus of Dividing with Digits Up to 999. Here, the goal is simply making sure the number sentence itself is set up correctly before you work out the answer.

Division and multiplication undo each other, so every division statement has a matching multiplication statement. If \( a \div b = c \), then \( b \times c = a \) must also be true. This is a fast way to check your work.

For \( 456 \div 6 = 76 \), check with \( 6 \times 76 = 456 \). Since this matches the dividend, the division statement is correct. For more on this pairing, see Relating Multiplication with Division Up to 999.

Example 1: Write a division statement for sharing 315 marbles equally among 9 bags.

Dividend = 315, divisor = 9, so the statement is \( 315 \div 9 = 35 \). Check: \( 9 \times 35 = 315 \). Correct.

Example 2: A total of 720 seats is arranged into 8 equal rows. Write and solve the division statement.

\( 720 \div 8 = 90 \). Check: \( 8 \times 90 = 720 \). Correct, so each row has 90 seats.

Example 3: Sometimes a division does not split evenly, leaving an amount left over. That situation is covered separately in Remainders from Division Up to 999.

Read the problem carefully to identify the dividend before the divisor, since mixing up the order changes the meaning of the statement. Always write the division symbol between the two known numbers, and place the equal sign only in front of the answer you are solving for. Finally, use the matching multiplication fact to check that your division statement makes sense.

Related lessons

• Math 3