5th Grade Dividing by Two-Digit Divisors Worksheets with Answers (Free PDF)

5th grade long division worksheet – Maths PDF

Cover of the book Grade 5 Math Worksheets with Answers (PDF)

Download as a PDFThe Grade 5 worksheets book with answersPrintable PDFSee the book ›

Sommaire

This 5th grade long division worksheet covers dividing by two-digit divisors (Common Core 5.NBT.B.6), with a free PDF to print.

Key takeaway: This worksheet helps fifth grade students practice dividing by two digit divisors with partial quotients, area models, and the standard algorithm.

Topic: Dividing by Two-Digit Divisors (5th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 5.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 fifth grade students practice dividing by two digit divisors with partial quotients, area models, and the standard algorithm. Also, estimation, remainders, and real situations help students decide whether each answer makes sense.

There are 20 problems. The first four use basic facts and multiples of ten, the next six use partial quotients, an area model, and larger dividends. Then, the middle group estimates with compatible numbers and writes remainders. Also, the last six are word problems about baseballs, cupcakes, miles, buses, stickers, and pencils. Then, allow about 35 minutes.

These 20 problems practice dividing whole numbers by two-digit divisors (Common Core 5.NBT.B.6). The dividends have up to four digits. You will use partial quotients and area models, estimate quotients with compatible numbers, and interpret remainders.

Check each answer by multiplying. The last six problems are word problems where you must decide what the remainder means.

Grade 5 · Common Core State Standards: 5.NBT.B.6

5th grade long division worksheet: worksheet problems 1 to 10

1 – Basic facts

First, find the quotient: \(96\div12\).

2 – Division fact

Next, find the quotient: \(84\div14\).

3 – Multiples of ten

Then, find the quotient: \(6{,}400\div80\).

4 – Two digits by two digits

Now, find the quotient: \(252\div21\).

5 – Partial quotients, 345

Also, find the quotient: \(345\div15\).

6 – Partial quotients, 972

First, find the quotient: \(972\div36\).

7 – Area model division

Next, the area model shows \(1{,}152\div18\). Find the missing widths and the quotient.

Find the widths.

8 – Four-digit dividend

Then, find the quotient: \(2{,}184\div28\).

9 – Larger divisor

Now, find the quotient: \(4{,}536\div54\).

10 – Three-digit quotient

Also, find the quotient: \(7{,}296\div48\).

Worksheet problems 11 and up

11 – Compatible numbers

First, use compatible numbers to estimate \(2{,}262\div29\). Then find the exact quotient.

Fill in the blanks.

12 – A remainder

Next, divide: \(475\div22\). Write the answer with a remainder.

13 – Dividing 1,000

Then, divide: \(1{,}000\div32\). Write the answer with a remainder.

14 – A bigger remainder

Now, divide: \(3{,}805\div41\). Write the answer with a remainder.

15 – Baseball boxes

Also, the league has 432 baseballs. Each box holds 24 baseballs. How many boxes can it fill?

Each box holds 24.

16 – Cupcake trays

Sofia bakes 648 cupcakes for a bake sale. She puts 36 cupcakes on each tray. How many trays does she need?

36 cupcakes on each tray.

17 – Miles per hour

Aisha’s family drives 1,368 miles on a road trip. They spend 24 hours driving. If they drive the same number of miles each hour, how many miles do they drive in one hour?

18 – Field trip buses

Then, a school has 250 students going on a field trip. Each bus holds 48 students. How many buses does the school need?

5 full buses and 10 students left.

Worksheet problem 19 and after

19 – Sticker pages

Jamal has 500 stickers. He puts 35 stickers on each page of his album. How many full pages does he make, and how many stickers are left over?

Each full page has 35 stickers.

20 – Pencils for classes

Priya’s school buys 18 boxes of pencils. Each box has 45 pencils. Each class gets 27 pencils. How many classes get pencils?

Key facts behind this 5th grade long division worksheet

Key facts

The dividend is divided by the divisor to give the quotient.
Partial quotients break the answer into easy pieces that add up to the quotient.
An area model shows the dividend as an area with the divisor as one side.
Then, a remainder is always smaller than the divisor.
Check by multiplying the quotient by the divisor and adding the remainder.

Common mistakes with this 5th grade long division worksheet

Students give the quotient and ignore the remainder in a seating story. If 100 people ride in buses of 30, the leftover people still need a bus, so round up.
Students stop dividing when the partial quotient looks big enough. Instead, check that the leftover is smaller than the divisor.
Students multiply instead of divide in a two stage story. Find the total first, then divide by the group size.
Students skip the estimate. Also, compatible numbers show whether the exact quotient is in the right range. Slow down at that step and check it twice.

Tips before you start the worksheet problems

Make a multiples list before every problem. Also, it saves time and reduces slips. Repeat this habit on every problem for the best results.
Check each division by multiplying. Then, the quotient times the divisor plus the remainder equals the dividend. Repeat this habit on every problem for the best results.
Teachers can ask students to solve one problem with partial quotients and with the standard algorithm and compare.

Download the 5th grade long division worksheet as a PDF with the button below and keep it with your notes.

5th grade long division worksheet: frequently asked questions

How do you write a quotient with a remainder?

Write the whole number quotient, then R, then the leftover. For 170 divided by 24, the quotient is 7 and the leftover is 2, so write 7 R 2. The remainder is always less than the divisor.

How do you decide whether to round up in a division story?

Look at what the question asks. If everything needs a place, such as seats or boxes, round up when there is a remainder. If the question asks for full groups, use the quotient only.

How do you divide a number with zeros by a multiple of ten?

Remove the same number of zeros from both numbers, then divide. For 4,500 divided by 50, think 450 divided by 5, which is 90. Check with 90 times 50. A quick check like this takes only a few seconds and prevents most errors.

All Grade 5 chapters: Grade 5 math.

Voter.. post

Free printable PDF