4th Grade Dividing with Remainders Worksheets with Answers (Free PDF)

4th grade long division worksheet – Maths PDF

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

Key takeaway: This worksheet helps fourth grade students practice dividing multi-digit numbers by one digit numbers, including quotients with remainders.

Topic: Dividing with Remainders (4th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 4.NBT.B.6
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fourth grade students practice dividing multi-digit numbers by one digit numbers, including quotients with remainders. Area models, dot pictures, and partial quotients appear alongside the standard steps, so students can use whichever method makes sense.

There are 20 problems. The first group uses basic facts and place value, the second group uses area models and remainders, and the third group involves zeros in the quotient and four digit dividends. Also, the last six are word problems about cookies, soccer teams, a road trip, pencils, vans, and markers. Then, allow about 35 minutes.

These 20 problems practice dividing whole numbers with up to 4-digit dividends and 1-digit divisors (Common Core 4.NBT.B.6). You will use place value, area models, partial quotients, and remainders. The last six problems ask what to do with the remainder in real situations.

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

4th grade long division worksheet: worksheet problems 1 to 10

1 – Divide tens

First, find \(80 \div 4\).

2 – Divide hundreds

Next, find \(600 \div 3\).

3 – Two-digit quotient

Then, find \(48 \div 3\).

4 – Break apart

Now, find \(75 \div 5\).

5 – Area model: 156 ÷ 4

The first partial quotient is 30.

Also, the rectangle has height 4 and total area 156. The first part has width 30 and area 120. Find the second partial quotient and then \(156 \div 4\).

6 – Remainder: 92 ÷ 6

First, find \(92 \div 6\). Write the quotient with a remainder.

7 – Dots and remainders

Groups of 5 and some left over.

Next, the picture shows 47 dots. Write a division equation with a remainder for the picture.

8 – Three-digit dividend

Then, find \(275 \div 5\).

9 – Find partial quotients

Areas 420 and 18.

Now, the rectangle has height 6. The areas of the two parts are 420 and 18. Find the width of each part and the quotient \(438 \div 6\).

10 – Zero in the quotient

Also, find \(817 \div 4\). Write the quotient with a remainder.

Worksheet problems 11 and up

11 – Area model: 2,736 ÷ 4

Partial areas of 2,736.

First, use the area model to find \(2,736 \div 4\).

12 – Divide 1,500

Next, find \(1,500 \div 6\).

13 – Four digits by seven

Then, find \(3,284 \div 7\). Write the quotient with a remainder.

14 – Divide 5,000

Now, find \(5,000 \div 8\).

15 – Cookie bags

Also, for a bake sale, Maya puts 138 cookies equally into 6 bags. How many cookies are in each bag?

16 – Soccer teams

First, a Little League club has 83 players. Each team needs exactly 8 players. How many full teams can the club make, and how many players are left without a team?

17 – Road trip days

Aisha’s family drives 1,260 miles in 5 days. They drive the same number of miles each day. How many miles do they drive each day?

1,260 miles split into 5 equal days.

18 – Pencil boxes

Then, the school store has 365 pencils. It packs 8 pencils in each box. How many full boxes can it make, and how many pencils are left?

19 – Vans for the field trip

Now, a van holds 7 people. A school needs to take 94 people on a field trip. How many vans are needed?

Worksheet problem 20 and after

20 – Markers for classes

Mei’s teacher buys 3 boxes with 248 markers in each box. She shares all the markers equally among 9 classes. How many markers does each class get, and how many markers are left over?

Key facts behind this 4th grade long division worksheet

Key facts

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 worksheet

Students drop a zero from the quotient. When 618 is divided by 3, the tens place makes no full group after regrouping, so the quotient is 206, not 26.
Students round down when everyone needs a seat. If 50 people ride in vans that hold 6, the leftover people still need a van, so round up.
Students give only the number of full groups when a story also asks about the leftovers. Instead, the leftover amount is the remainder.
Students divide by the wrong number in a two stage story. Find the total first by multiplying, then share that total equally.

Tips before you start the worksheet problems

Use the area model first, then try the same problem with the standard method. Also, getting the same answer both ways builds trust in each method.
Check each answer by multiplying the quotient by the divisor and adding the remainder. Then, the result should match the dividend exactly.
Teachers can assign the word problems for a class discussion about what to do with a remainder in each situation.

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

4th grade long division worksheet: frequently asked questions

What should you do with a remainder in a word problem?

It depends on the question. So, if you ask how many full groups, ignore the remainder. If you ask how many vans are needed, round up. If you ask how much is left, the remainder is the answer.

How does an area model help with division?

An area model splits the dividend into parts that are easy to divide, shown as rectangles with the same height. For 96 divided by 4, the parts 80 and 16 give widths 20 and 4, so the quotient is 24.

How can you tell if a quotient is reasonable?

Round the dividend to a number you can divide mentally. For 1,190 divided by 5, think 1,200 divided by 5 is 240. An exact answer near 240 makes sense, while a very different answer points to a slip.

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