Grade 4 Math · Long Division: Introduction

Grade 4 Long Division Introduction Practice Test

Build Grade 4 Math skills with five 10-question practice tests on quotients, remainders, place value, estimation, checking, and division word problems.

Long Division Practice Tests

These Grade 4 Math practice tests introduce division with larger numbers. Students identify dividends, divisors, quotients, and remainders; use place value; estimate quotients; check division with multiplication; and solve equal-group and sharing problems.

Skills covered

  • Dividing three- and four-digit numbers by one-digit divisors
  • Understanding dividend, divisor, quotient, and remainder
  • Recording and interpreting remainders
  • Using place value in long division
  • Estimating and checking quotients
  • Solving division word problems with and without remainders

How to use these practice tests

Divide from left to right and keep each digit in its correct place. For a remainder problem, check that the remainder is less than the divisor. To verify your work, use \(\text{divisor} \times \text{quotient} + \text{remainder} = \text{dividend}\).

For more Grade 4 Math practice, return to the Grade 4 Math category.

5. Test

Grade 4 Long Division Introduction Practice Tests

A 10-question Grade 4 Math practice test on division, quotients, remainders, place value, estimation, checking, and division word problems.

Identify the dividend and divisor, divide one place at a time, record any remainder, and check the result with multiplication.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

Which equation represents the statement “84 divided by 7 equals 12”?

Please select an answer first.

Correct answer: A

The correct answer is 84÷7=1284 ÷ 7 = 12.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: The dividend is 84, the divisor is 7, and the quotient is 12.
  3. Check the choice: The correct choice is 84÷7=1284 ÷ 7 = 12.

The dividend is 84, the divisor is 7, and the quotient is 12.

2. QuestionMultiple choice

Estimate 398÷4398 ÷ 4 by rounding 398 to the nearest hundred.

Please select an answer first.

Correct answer: B

The correct answer is 100100.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: Round 398 to 400; 400÷4=100400 ÷ 4 = 100, so 100 is a reasonable estimate.
  3. Check the choice: The correct choice is 100100.

Round 398 to 400; 400÷4=100400 ÷ 4 = 100, so 100 is a reasonable estimate.

3. QuestionMultiple choice

Which statement about a remainder is true?

Please select an answer first.

Correct answer: C

The correct answer is A remainder must be less than the divisor..

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: The divisor tells how many equal groups are made, so the leftover remainder must be smaller than it.
  3. Check the choice: The correct choice is A remainder must be less than the divisor..

The divisor tells how many equal groups are made, so the leftover remainder must be smaller than it.

4. QuestionMultiple choice

How can you check the result of a division problem with a remainder?

Please select an answer first.

Correct answer: D

The correct answer is divisor×quotient+remainder=dividenddivisor × quotient + remainder = dividend.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: Multiplying the divisor by the quotient and adding the remainder should give the dividend.
  3. Check the choice: The correct choice is divisor×quotient+remainder=dividenddivisor × quotient + remainder = dividend.

Multiplying the divisor by the quotient and adding the remainder should give the dividend.

5. QuestionMultiple choice

Which check proves that 672÷6=112672 ÷ 6 = 112?

Please select an answer first.

Correct answer: A

The correct answer is 112×6=672112 × 6 = 672.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: The multiplication check 112×6=672112 × 6 = 672 confirms the quotient.
  3. Check the choice: The correct choice is 112×6=672112 × 6 = 672.

The multiplication check 112×6=672112 × 6 = 672 confirms the quotient.

6. QuestionMultiple choice

What number makes 96÷□=1296 ÷ \square = 12?

Please select an answer first.

Correct answer: B

The correct answer is 88.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: The missing divisor is 8 because 96÷8=1296 ÷ 8 = 12.
  3. Check the choice: The correct choice is 88.

The missing divisor is 8 because 96÷8=1296 ÷ 8 = 12.

7. QuestionMultiple choice

What number makes □÷7=15R2\square ÷ 7 = 15 \text{R}2?

Please select an answer first.

Correct answer: C

The correct answer is 107107.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: Use 7×15+2=1077 × 15 + 2 = 107; the missing dividend is 107107.
  3. Check the choice: The correct choice is 107107.

Use 7×15+2=1077 × 15 + 2 = 107; the missing dividend is 107107.

8. QuestionMultiple choice

Which quotient is reasonable for 245÷5245 ÷ 5?

Please select an answer first.

Correct answer: D

The correct answer is 4949.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: Because 5×49=2455 × 49 = 245, the quotient 4949 is correct.
  3. Check the choice: The correct choice is 4949.

Because 5×49=2455 × 49 = 245, the quotient 4949 is correct.

9. QuestionMultiple choice

A library has 450 pages to place equally into 9 binders. How many pages go in each binder?

Please select an answer first.

Correct answer: A

The correct answer is 5050.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: Divide pages by binders: 450÷9=50450 ÷ 9 = 50.
  3. Check the choice: The correct choice is 5050.

Divide pages by binders: 450÷9=50450 ÷ 9 = 50.

10. QuestionMultiple choice

Why is the zero important in the quotient of 408÷4=102408 ÷ 4 = 102?

Please select an answer first.

Correct answer: B

The correct answer is It shows that there are no tens in the quotient..

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: The zero in 102 keeps the place values correct: 1 hundred, 0 tens, and 2 ones.
  3. Check the choice: The correct choice is It shows that there are no tens in the quotient..

The zero in 102 keeps the place values correct: 1 hundred, 0 tens, and 2 ones.

Previous testNext test

Frequently asked questions about Grade 4 Long Division

What is a remainder?

A remainder is the amount left over after making as many equal groups as possible. It must be less than the divisor.

How can you check a division answer?

Multiply the divisor by the quotient and add the remainder. The result should equal the dividend.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 4 Long Division questions in total.