4th Grade Dividing with Remainders Worksheet Solutions (PDF)
Grade 4 · Common Core State Standards: 4.NBT.B.6
Exercise 1 – Divide tens
8 tens divided by 4 is 2 tens.
Check: \(20 \times 4 = 80\).
20
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 \(18 \div 3 = 6\).
\(10 + 6 = 16\)
16
Exercise 4 – Break apart
\(50 \div 5 = 10\) and \(25 \div 5 = 5\).
\(10 + 5 = 15\)
15
Exercise 5 – Area model: 156 ÷ 4
Left over: \(156 – 120 = 36\). \(36 \div 4 = 9\).
\(30 + 9 = 39\)
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
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
\(5 \times 50 = 250\); \(275 – 250 = 25\); \(25 \div 5 = 5\).
\(50 + 5 = 55\)
55
Exercise 9 – Find partial quotients
\(420 \div 6 = 70\) and \(18 \div 6 = 3\). The quotient is \(70 + 3 = 73\).
Check: \(73 \times 6 = 438\).
73
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
Exercise 11 – Area model: 2,736 ÷ 4
\(2{,}400 \div 4 = 600\), \(320 \div 4 = 80\), \(16 \div 4 = 4\).
\(600 + 80 + 4 = 684\)
\(684\)
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
All Grade 4 chapters: Grade 4 math.
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