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.

3. 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

What is 29÷429 ÷ 4 with a remainder?

Please select an answer first.

Correct answer: A

The correct answer is 7R17 \text{R}1.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: 4×7=284 × 7 = 28; one is left over, so the result is 7R17 \text{R}1.
  3. Check the choice: The correct choice is 7R17 \text{R}1.

4×7=284 × 7 = 28; one is left over, so the result is 7R17 \text{R}1.

2. QuestionMultiple choice

What is 38÷538 ÷ 5 with a remainder?

Please select an answer first.

Correct answer: B

The correct answer is 7R37 \text{R}3.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: 5×7=355 × 7 = 35; 38−35=338 - 35 = 3, so the result is 7R37 \text{R}3.
  3. Check the choice: The correct choice is 7R37 \text{R}3.

5×7=355 × 7 = 35; 38−35=338 - 35 = 3, so the result is 7R37 \text{R}3.

3. QuestionMultiple choice

What is 47÷647 ÷ 6 with a remainder?

Please select an answer first.

Correct answer: C

The correct answer is 7R57 \text{R}5.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: 6×7=426 × 7 = 42; 47−42=547 - 42 = 5, so the result is 7R57 \text{R}5.
  3. Check the choice: The correct choice is 7R57 \text{R}5.

6×7=426 × 7 = 42; 47−42=547 - 42 = 5, so the result is 7R57 \text{R}5.

4. QuestionMultiple choice

What is 65÷865 ÷ 8 with a remainder?

Please select an answer first.

Correct answer: D

The correct answer is 8R18 \text{R}1.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: 8×8=648 × 8 = 64; one is left over, so the result is 8R18 \text{R}1.
  3. Check the choice: The correct choice is 8R18 \text{R}1.

8×8=648 × 8 = 64; one is left over, so the result is 8R18 \text{R}1.

5. QuestionMultiple choice

What is 73÷973 ÷ 9 with a remainder?

Please select an answer first.

Correct answer: A

The correct answer is 8R18 \text{R}1.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: 9×8=729 × 8 = 72; 73−72=173 - 72 = 1, so the result is 8R18 \text{R}1.
  3. Check the choice: The correct choice is 8R18 \text{R}1.

9×8=729 × 8 = 72; 73−72=173 - 72 = 1, so the result is 8R18 \text{R}1.

6. QuestionMultiple choice

What is 94÷794 ÷ 7 with a remainder?

Please select an answer first.

Correct answer: B

The correct answer is 13R313 \text{R}3.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: 7×13=917 × 13 = 91; 94−91=394 - 91 = 3, so the result is 13R313 \text{R}3.
  3. Check the choice: The correct choice is 13R313 \text{R}3.

7×13=917 × 13 = 91; 94−91=394 - 91 = 3, so the result is 13R313 \text{R}3.

7. QuestionMultiple choice

What is 125÷6125 ÷ 6 with a remainder?

Please select an answer first.

Correct answer: C

The correct answer is 20R520 \text{R}5.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: 6×20=1206 × 20 = 120; 125−120=5125 - 120 = 5, so the result is 20R520 \text{R}5.
  3. Check the choice: The correct choice is 20R520 \text{R}5.

6×20=1206 × 20 = 120; 125−120=5125 - 120 = 5, so the result is 20R520 \text{R}5.

8. QuestionMultiple choice

What is 157÷10157 ÷ 10 with a remainder?

Please select an answer first.

Correct answer: D

The correct answer is 15R715 \text{R}7.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: 10×15=15010 × 15 = 150; 157−150=7157 - 150 = 7, so the result is 15R715 \text{R}7.
  3. Check the choice: The correct choice is 15R715 \text{R}7.

10×15=15010 × 15 = 150; 157−150=7157 - 150 = 7, so the result is 15R715 \text{R}7.

9. QuestionMultiple choice

What is 203÷4203 ÷ 4 with a remainder?

Please select an answer first.

Correct answer: A

The correct answer is 50R350 \text{R}3.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: 4×50=2004 × 50 = 200; 203−200=3203 - 200 = 3, so the result is 50R350 \text{R}3.
  3. Check the choice: The correct choice is 50R350 \text{R}3.

4×50=2004 × 50 = 200; 203−200=3203 - 200 = 3, so the result is 50R350 \text{R}3.

10. QuestionMultiple choice

What is 319÷8319 ÷ 8 with a remainder?

Please select an answer first.

Correct answer: B

The correct answer is 39R739 \text{R}7.

  1. Read the division problem: Identify the dividend, divisor, quotient, and any remainder.
  2. Divide and check: 8×39=3128 × 39 = 312; 319−312=7319 - 312 = 7, so the result is 39R739 \text{R}7.
  3. Check the choice: The correct choice is 39R739 \text{R}7.

8×39=3128 × 39 = 312; 319−312=7319 - 312 = 7, so the result is 39R739 \text{R}7.

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.