4th Grade Dividing with Remainders Quiz: 10 Questions with Answers

4th grade long division quiz – Maths PDF

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This 4th grade long division quiz covers dividing with remainders (Common Core 4.NBT.B.6), with a free PDF to print.

Key takeaway: This quiz helps fourth grade students quickly check how well they can divide with and without remainders and decide what the remainder means.

Topic: Dividing with Remainders (4th grade)
Content: 10 multiple-choice questions with instant explanations
Standards: 4.NBT.B.6
Answers: Explanations included
Format: Free printable PDF, US Letter, black and white

This quiz helps fourth grade students quickly check how well they can divide with and without remainders and decide what the remainder means. Also, it has 10 multiple choice questions, and the wrong answers come from real mistakes, such as dropping a zero from the quotient.

The questions cover mental division, a two digit remainder, reading a dot picture, a zero in the quotient, checking with multiplication, an area model, and stories about photo pages, miles, and stickers. Then, one question asks which number cannot be a remainder for a given divisor. Also, plan about 10 minutes and read each explanation.

Choose the best answer for each of the 10 questions about dividing and remainders. Read each question carefully, then check the explanation to learn from any mistake.

Grade 4 · Common Core State Standards: 4.NBT.B.6

4th grade long division quiz: 10 questions

Question 1

What is \(240 \div 6\)?

Question 2

What is \(85 \div 4\)?

Question 3

Dots in groups of 5.

Which division sentence does the picture show?

Question 4

What is \(3,612 \div 4\)?

Question 5

Which equation can be used to check that 238 ÷ 7 = 34?

Question 6 and after

Question 6

Area model for 156 ÷ 4.

What is 156 ÷ 4?

Question 7

Mei has 50 photos. Each album page holds 6 photos. How many pages does she need to hold all the photos?

Question 8

Which of these cannot be a remainder when you divide by 6?

Question 9

1,260 miles in 5 equal days.

A family drives 1,260 miles in 5 equal days. How many miles each day?

Question 10

Priya buys 4 packs with 125 stickers in each pack. She shares all the stickers equally among 8 friends. How many stickers does each friend get?

Remember

Dividend ÷ divisor = quotient with a remainder; the remainder is less than the divisor.
Partial quotients: divide easy parts of the dividend and add the results.
An area model for division starts with the area (dividend) and one side (divisor).
Then, check: quotient × divisor + remainder = dividend.
Think about the story to decide what to do with a remainder.

Common mistakes with this 4th grade long division quiz

Students drop a zero in a quotient such as 804 divided by 4. The tens place makes no group, so a zero must hold that place.
Students ignore leftover items when everything must fit. Also, if 38 photos go on pages of 5, the leftover photos still need a page.
Students pick a remainder equal to the divisor. Instead, a remainder must be less than the divisor, or another full group fits.
Students divide before they multiply in a two stage story. Find the total number of items first, then share.

Tips to get a high score

Estimate first. For 2,410 divided by 4, think 2,400 divided by 4 is 600, so any choice far from 600 is wrong.
For word problems, circle the question to see whether it wants the quotient, the remainder, or the quotient plus one.
Teachers can use the remainder question as a discussion starter on why remainders are always smaller than the divisor.

Download the 4th grade long division quiz as a PDF with the button below and keep it with your notes.

4th grade long division quiz: frequently asked questions

Which numbers can be remainders when dividing by 7?

Only 0, 1, 2, 3, 4, 5, and 6 can be remainders when the divisor is 7. So, a remainder of 7 or more means another full group can still be made. Also, the remainder must always be smaller than the divisor.

How do you divide 180 by 6 in your head?

Think of 180 as 18 tens. Since 18 divided by 6 is 3, there are 3 tens, so the answer is 30. So, using place value and basic facts makes mental division quick for numbers that end in zero.

What score shows a student is ready to move on from division?

Eight or more out of 10 shows solid understanding of division with remainders. If a student misses the zero in the quotient or the rounding question, review those ideas and retake the quiz after a day of practice.

All Grade 4 chapters: Grade 4 math.

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