Long Division by One Digit for 4th Grade

Long Division by One Digit for 4th Grade: this Effortless Math guide explains the topic in plain language, shows how it works through solved examples, and gives you free practice to try immediately, so the idea sticks instead of staying abstract.

Long division by one digit helps fourth graders organize division into clear repeatable steps: divide, multiply, subtract, and bring down.

This lesson covers dividing by 1-digit numbers for fourth-grade math. Use the examples and practice below to build confidence and skill.

Detailed Explanation

Divide a 2- or 3-digit number by a 1-digit divisor using long division. Divide, multiply, subtract, bring down. When there is no remainder, the division is exact.

Worked Example

Problem: Divide 84 ÷ 4.

1. Step 1: Apply the concept from the lesson above.
2. Step 2: Carry out the operation or reasoning.

Answer: 84 ÷ 4 = 21

Common Mistakes

Students usually improve faster in long division by one digit when they slow down and watch for a few repeated mistakes. These are the ones worth checking first:

• Bringing down the next digit before finishing the subtraction step.
• Placing a quotient digit over the wrong place value.
• Not checking the quotient with multiplication.

Practice Strategy

A short but consistent review routine helps students build confidence with long division by one digit without getting overwhelmed.

• Work one long-division problem neatly and read each step aloud.
• Circle the divisor, dividend, and quotient so each role stays clear.
• Check the finished answer by multiplying back.

Watch Another Example

Use a second example video to hear the steps explained in a different way and reinforce the same skill from another angle.

Frequently Asked Questions

How do you do long division in 4th grade?

Follow four repeating steps: divide, multiply, subtract and bring down. For 84 ÷ 4, divide 8 tens by 4 to get 2 and write it above the 8. Multiply 2 × 4 = 8, subtract 8 − 8 = 0, then bring down the 4. Divide 4 ÷ 4 = 1, so the quotient is 21. Check by multiplying: 21 × 4 = 84.

How do you do long division 3 digit by 1 digit?

Start with the hundreds digit, and if it is smaller than the divisor, combine it with the tens digit. For 252 ÷ 6, 2 is less than 6, so divide 25 ÷ 6 = 4 and write it above the 5. Multiply 4 × 6 = 24, subtract to get 1, and bring down the 2 to make 12. Then 12 ÷ 6 = 2, so 252 ÷ 6 = 42.

How do you do long division with 4 digits?

Use the same steps, working one digit of the dividend at a time from left to right. For 5,736 ÷ 4: 5 ÷ 4 = 1 remainder 1; bring down 7 to make 17, and 17 ÷ 4 = 4 remainder 1; bring down 3 to make 13, and 13 ÷ 4 = 3 remainder 1; bring down 6 to make 16, and 16 ÷ 4 = 4. The quotient is 1,434, and 1,434 × 4 = 5,736 checks it.

How do you do long division with 5 digits?

A 5-digit dividend just means more rounds of divide, multiply, subtract and bring down. For 23,175 ÷ 5: 23 ÷ 5 = 4 remainder 3; bring down 1 to make 31, so 6 remainder 1; bring down 7 to make 17, so 3 remainder 2; bring down 5 to make 25, so 5. The quotient is 4,635. Fourth graders usually stop at 4-digit dividends, so this is a nice challenge.

What is long division by a single digit with no remainder?

It means the divisor goes into the dividend evenly, so the final subtraction leaves 0. For example, 936 ÷ 3 = 312, because 3 goes into 9 three times, into 3 once and into 6 twice, with nothing left over. These problems are a good starting point in grade 4 before moving on to remainders, and you can check by multiplying: 312 × 3 = 936.

Keep Practicing

After finishing this lesson on long division by one digit, spend a few minutes on mixed review so the skill stays connected to the rest of Grade 4 math.

Need more Grade 4 review? Explore the Grade 4 Mathematics Worksheets hub for extra guided practice, review sets, and printable support.