4th Grade Dividing with Remainders Worksheet Solutions (PDF)

4th Grade math worksheet solutions: Dividing with Remainders – Maths PDF

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This divide practice solutions for 4th Grade covers dividing with remainders (Common Core 4.NBT.B.6), with a free PDF to print.

Check your work with this answer key. Each solution shows the partial quotients and a multiplication check. Remainders are written with R and explained in the word problems. The final answer is in bold.

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

Divide practice solutions: exercises 1 to 10

Exercise 1 – Divide tens

8 tens divided by 4 is 2 tens.

Check: \(20 \times 4 = 80\).

Exercise 2 – Divide hundreds

6 hundreds divided by 3 is 2 hundreds.

Check: \(200 \times 3 = 600\).

200

Exercise 3 – Two-digit quotient

\(30 \div 3 = 10\) and \(18 \div 3 = 6\).

\(10 + 6 = 16\)

Exercise 4 – Break apart

\(50 \div 5 = 10\) and \(25 \div 5 = 5\).

\(10 + 5 = 15\)

Exercise 5 – Area model: 156 ÷ 4

120 + 36 = 156.

Left over: \(156 – 120 = 36\). \(36 \div 4 = 9\).

\(30 + 9 = 39\)

Exercise 6 – Remainder: 92 ÷ 6

\(6 \times 10 = 60\); \(92 – 60 = 32\). \(6 \times 5 = 30\); \(32 – 30 = 2\).

Quotient \(10 + 5 = 15\), remainder 2.

Check: \(15 \times 6 + 2 = 92\).

15 R 2

Exercise 7 – Dots and remainders

9 groups of 5 and 2 left over.

There are 9 full groups of 5, and 2 dots are left over.

Check: \(9 \times 5 + 2 = 47\).

\(47 \div 5 = 9 \text{ R } 2\)

Exercise 8 – Three-digit dividend

\(5 \times 50 = 250\); \(275 – 250 = 25\); \(25 \div 5 = 5\).

\(50 + 5 = 55\)

Exercise 9 – Find partial quotients

70 + 3 = 73.

\(420 \div 6 = 70\) and \(18 \div 6 = 3\). The quotient is \(70 + 3 = 73\).

Check: \(73 \times 6 = 438\).

Exercise 10 – Zero in the quotient

\(4 \times 200 = 800\); \(817 – 800 = 17\). There are no whole tens in 17 that 4 can use except \(4 \times 4 = 16\), so the tens place is 0.

\(200 + 0 + 4 = 204\), and \(17 – 16 = 1\) is the remainder.

Check: \(204 \times 4 + 1 = 817\).

204 R 1

Exercises 11 and up

Exercise 11 – Area model: 2,736 ÷ 4

600 + 80 + 4 = 684.

\(2{,}400 \div 4 = 600\), \(320 \div 4 = 80\), \(16 \div 4 = 4\).

\(600 + 80 + 4 = 684\)

\(684\)

Exercise 12 – Divide 1,500

\(1{,}200 \div 6 = 200\); \(1{,}500 – 1{,}200 = 300\); \(300 \div 6 = 50\).

\(200 + 50 = 250\)

250

Exercise 13 – Four digits by seven

\(7 \times 400 = 2{,}800\); \(3{,}284 – 2{,}800 = 484\). \(7 \times 60 = 420\); \(484 – 420 = 64\). \(7 \times 9 = 63\); \(64 – 63 = 1\).

Quotient \(400 + 60 + 9 = 469\), remainder 1.

Check: \(469 \times 7 + 1 = 3{,}283 + 1 = 3{,}284\).

469 R 1

Exercise 14 – Divide 5,000

\(8 \times 600 = 4{,}800\); \(5{,}000 – 4{,}800 = 200\). \(8 \times 25 = 200\).

\(600 + 25 = 625\)

Check: \(625 \times 8 = 5{,}000\).

625

Exercise 15 – Cookie bags

\(138 \div 6\): \(6 \times 20 = 120\); \(138 – 120 = 18\); \(18 \div 6 = 3\).

\(20 + 3 = 23\)

Check: \(23 \times 6 = 138\).

23 cookies

Exercise 16 – Soccer teams

\(83 \div 8\): \(8 \times 10 = 80\); \(83 – 80 = 3\).

The quotient is 10 and the remainder is 3. The remainder is dropped for full teams.

Check: \(10 \times 8 + 3 = 83\).

10 full teams; 3 players left

Exercise 17 – Road trip days

\(1{,}260 \div 5\): \(5 \times 200 = 1{,}000\); \(1{,}260 – 1{,}000 = 260\); \(5 \times 50 = 250\); \(260 – 250 = 10\); \(5 \times 2 = 10\).

\(200 + 50 + 2 = 252\)

Check: \(252 \times 5 = 1{,}260\).

252 miles

Exercise 18 – Pencil boxes

\(8 \times 40 = 320\); \(365 – 320 = 45\); \(8 \times 5 = 40\); \(45 – 40 = 5\).

Quotient \(40 + 5 = 45\), remainder 5.

Check: \(45 \times 8 + 5 = 365\).

45 full boxes; 5 pencils left

Exercise 19 – Vans for the field trip

\(94 \div 7\): \(7 \times 13 = 91\); \(94 – 91 = 3\). The quotient is 13 with remainder 3.

Thirteen vans carry 91 people, so 3 people still need a ride. One more van is needed.

14 vans

Exercise 20 – Markers for classes

Total markers: \(3 \times 248 = 744\).

\(744 \div 9\): \(9 \times 80 = 720\); \(744 – 720 = 24\); \(9 \times 2 = 18\); \(24 – 18 = 6\).

Quotient \(80 + 2 = 82\), remainder 6. Check: \(82 \times 9 + 6 = 744\).

82 markers each; 6 left over

Key facts behind this divide practice solutions

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).
Check: quotient × divisor + remainder = dividend.
Think about the story to decide what to do with a remainder.

How to use this divide practice solutions

Cover each solution, solve the exercise again, then uncover it and compare every line. If your answer differs, find the first step that changed and redo the exercise from there.

Download the divide practice solutions as a PDF with the button below and keep it with your notes.

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