Long Division

Show your work for each problem.

1.
What is $84 \div 4$ ?
1. a)22
2. b)20
3. c)24
4. d)21
Answer: 21
$8 \div 4 = 2$ , write 2 above. $2 \times 4 = 8$ , $8 - 8 = 0$ . Bring down 4. $4 \div 4 = 1$ , write 1 above. Answer: $21$
2.
What is $75 \div 6$ ? Pick the quotient and the remainder.
1. a)12 R3
2. b)12 R1
3. c)13
4. d)11 R9
Answer: 12 R3
$7 \div 6 = 1$ R1. Bring down 5 to get 15. $15 \div 6 = 2$ R3. Answer: $12$ R3. Check: $6 \times 12 + 3 = 75$ . (11 R9 is not finished: 9 is bigger than 6.)
3.
Calculate $55 \div 5$
Answer: 11
$5 \div 5 = 1$ with no remainder. Bring down 5. $5 \div 5 = 1$ . Answer: $11$
4.
What is $96 \div 8$ ?
Answer: 12
$9 \div 8 = 1$ , remainder 1. Bring down 6 to get 16. $16 \div 8 = 2$ . Answer: $12$
5.
Use long division to solve $63 \div 3$
Answer: 21
1. How many times does 3 go into 6? 2
2. What is $6 - 6$ ? 0
3. Bring down the 3. How many times does 3 go into 3? 1
4. What is the final answer? 21
6.
What is $156 \div 12$ ?
1. a)14
2. b)13
3. c)12
4. d)15
Answer: 13
$15 \div 12 = 1$ , remainder 3. Bring down 6 to get 36. $36 \div 12 = 3$ . Answer: $13$
7.
Calculate $175 \div 7$
Answer: 25
$17 \div 7 = 2$ , remainder 3. Bring down 5 to get 35. $35 \div 7 = 5$ . Answer: $25$
8.
What is $207 \div 9$ ?
Answer: 23
$20 \div 9 = 2$ , remainder 2. Bring down 7 to get 27. $27 \div 9 = 3$ . Answer: $23$
9.
Use long division to solve $256 \div 8$
Answer: 32
1. How many times does 8 go into 25? 3
2. What is $25 - 24$ ? 1
3. Bring down the 6. What number do you now have? 16
4. How many times does 8 go into 16? 2
5. What is the final answer? 32
10.
Solve $294 \div 14$ using long division
Answer: 21
1. 14 doesn't fit into 2, so look at 29. How many 14s are in 29? 2
2. What is $29 - 28$ ? 1
3. Bring down the 4. What number do you have? 14
4. How many times does 14 go into 14? 1
5. What is the final quotient? 21
11.
What is $1{,}728 \div 12$ ?
1. a)148
2. b)134
3. c)142
4. d)144
Answer: 144
$17 \div 12 = 1$ R5. Bring down 2 to get 52. $52 \div 12 = 4$ R4. Bring down 8 to get 48. $48 \div 12 = 4$ . Answer: $144$
12.
A baker made 2,030 cookies and packs them in boxes of 24. How many boxes can be completely filled?
Answer: 84
$203 \div 24 = 8$ R11. Bring down 0 to get 110. $110 \div 24 = 4$ R14. So $2030 \div 24 = 84$ R14: $84$ full boxes, and 14 cookies are left over.
13.
Calculate $1{,}442 \div 7$
Answer: 206
$14 \div 7 = 2$ , remainder 0. Bring down 4: 7 does not fit into 4, so write 0 in the quotient. Bring down 2 to get 42. $42 \div 7 = 6$ . Answer: $206$
14.
A school has 1,260 students to be divided equally into 15 classrooms. How many students per classroom?
Answer: 84
1. 15 doesn't fit into 1, so look at 12. How many 15s are in 12? 0
2. Look at 126 instead. How many 15s are in 126? 8
3. What is $126 - 120$ ? 6
4. Bring down the 0. How many 15s are in 60? 4
5. What is the final answer? 84
15.
Use long division to solve $2{,}432 \div 32$
Answer: 76
1. 32 doesn't fit into 2 or 24. Look at 243. How many 32s are in 243? 7
2. What is $243 - 224$ ? 19
3. Bring down the 2. What number do you have? 192
4. How many 32s are in 192? 6
5. What is the final quotient? 76