Long division (by two digits) worksheet

Part A: Working out and filling in

1. 1. 523 ÷ 56 = 9 … 19

   523 ÷ 56: think of 56 as 60 to try a quotient, 60 × 8 = 480, so try 8; 56 × 8 = 448, 523 − 448 = 75, still another 56, so try 9; 56 × 9 = 504, 523 − 504 = 19, and 19 is less than 56; so the quotient is 9 and the remainder 19

2. 2. 135 ÷ 27 = 5

   135 ÷ 27: think of 27 as 30 to try a quotient, 30 × 4 = 120, so try 4; 27 × 4 = 108, 135 − 108 = 27, still another 27, so try 5; 27 × 5 = 135, 135 − 135 = 0; so the quotient is 5

3. 3. 66 ÷ 33 = 2

   66 ÷ 33: think of 33 as 30 to try a quotient, 30 × 2 = 60, so try 2; 33 × 2 = 66, 66 − 66 = 0; so the quotient is 2

4. 4. 293 ÷ 37 = 7 … 34

   293 ÷ 37: think of 37 as 40 to try a quotient, 40 × 7 = 280, so try 7; 37 × 7 = 259, 293 − 259 = 34, and 34 is less than 37; so the quotient is 7 and the remainder 34

5. 5. 92 ÷ 46 = 2

   92 ÷ 46: think of 46 as 50 to try a quotient, 50 × 1 = 50, so try 1; 46 × 1 = 46, 92 − 46 = 46, still another 46, so try 2; 46 × 2 = 92, 92 − 92 = 0; so the quotient is 2

6. 6. 735 ÷ 88 = 8 … 31

   735 ÷ 88: think of 88 as 90 to try a quotient, 90 × 8 = 720, so try 8; 88 × 8 = 704, 735 − 704 = 31, and 31 is less than 88; so the quotient is 8 and the remainder 31

7. 7. 320 ÷ 20 = 16

   320 ÷ 20: try the tens first, 20 × 10 = 200, 320 − 200 = 120, then the ones, 20 × 6 = 120, 120 − 120 = 0, 10 + 6 = 16; so the quotient is 16

8. 8. 508 ÷ 84 = 6 … 4

   508 ÷ 84: think of 84 as 80 to try a quotient, 80 × 6 = 480, so try 6; 84 × 6 = 504, 508 − 504 = 4, and 4 is less than 84; so the quotient is 6 and the remainder 4

9. 9. 82 ÷ 32 = 2 … 18

   82 ÷ 32: think of 32 as 30 to try a quotient, 30 × 2 = 60, so try 2; 32 × 2 = 64, 82 − 64 = 18, and 18 is less than 32; so the quotient is 2 and the remainder 18

10. 10. 272 ÷ 50 = 5 … 22

    272 ÷ 50: think of 50 as 50 to try a quotient, 50 × 5 = 250, so try 5; 50 × 5 = 250, 272 − 250 = 22, and 22 is less than 50; so the quotient is 5 and the remainder 22

11. 11. 419 ÷ 14 = 29 … 13

    419 ÷ 14: try the tens first, 14 × 20 = 280, 419 − 280 = 139, then the ones, 14 × 9 = 126, 139 − 126 = 13, and 13 is less than 14, 20 + 9 = 29; so the quotient is 29 and the remainder 13

12. 12. 38 ÷ 18 = 2 … 2

    38 ÷ 18: think of 18 as 20 to try a quotient, 20 × 1 = 20, so try 1; 18 × 1 = 18, 38 − 18 = 20, still another 18, so try 2; 18 × 2 = 36, 38 − 36 = 2, and 2 is less than 18; so the quotient is 2 and the remainder 2

Part B: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

1. 13. A stationery shop has 183 pencils and packs them 31 to a box. How many boxes can it fill completely? (Answer: 5 boxes)

   183 ÷ 31 = 5 R 28

2. 14. 140 people from a housing estate are going on a trip, and each coach seats at most 40. What is the smallest number of coaches they must hire? (Answer: 4 coaches)

   140 ÷ 40 = 3 R 20; the 20 left over need one too: 3 + 1 = 4

3. 15. 363 people from a housing estate are going on a trip, and each coach seats at most 40. What is the smallest number of coaches they must hire? (Answer: 10 coaches)

   363 ÷ 40 = 9 R 3; the 3 left over need one too: 9 + 1 = 10

4. 16. A stationery shop has 156 pencils and packs them 32 to a box. How many boxes can it fill completely? (Answer: 4 boxes)

   156 ÷ 32 = 4 R 28

5. 17. A charity raised $1,196 and gives it equally to 46 care homes. How many dollars does each care home get? (Answer: 26 dollars)

   1196 ÷ 46 = 26

6. 18. A charity raised $464 and gives it equally to 16 care homes. How many dollars does each care home get? (Answer: 29 dollars)

   464 ÷ 16 = 29