Mastering Division: Four-Digit Challenges

Divide 4321 by 3 using long division. What is the quotient?

• 1437

• 1440

• 1443

• 1450

Answer explanation

To divide 4321 by 3 using long division, start by dividing 4 by 3, which gives 1. Bring down the next digit (3) to get 13. Dividing 13 by 3 gives 4. Bring down 2 to get 12, which divides to 4. Finally, bring down 1 to get 1, which gives 0. The final quotient is 1443.

Tags

CCSS.4.NBT.B.6

What is the result of dividing 5678 by 12 using long division?

• 473

• 474

• 475

• 476

Answer explanation

Dividing 5678 by 12 using long division gives a quotient of 473 with a remainder. The closest whole number is 473, confirming it as the correct answer.

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

Calculate the quotient of 7890 divided by 345 using long division.

• 22

• 23

• 24

• 25

Answer explanation

To divide 7890 by 345 using long division, we find that 345 goes into 7890 approximately 22 times. Thus, the quotient is 22, making it the correct answer.

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

Using long division, find the quotient of 1234 divided by 4.

• 308

• 309

• 310

• 311

Answer explanation

To divide 1234 by 4 using long division, 4 goes into 12 three times (3), leaving a remainder of 0. Bring down the 3, 4 goes into 3 zero times (0). Bring down the 4, 4 goes into 34 eight times (8). The final quotient is 308.

Tags

CCSS.4.NBT.B.6

Divide 8765 by 23 using long division. What is the quotient?

• 380

• 381

• 382

• 383

Answer explanation

To divide 8765 by 23 using long division, we find that 23 goes into 87 three times (3x23=69), leaving a remainder of 18. Bringing down the next digit (6), we get 186. 23 goes into 186 eight times (8x23=184), leaving 2. Bringing down 5 gives 25, and 23 goes into 25 once (1x23=23), leaving a remainder of 2. Thus, the quotient is 381.

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

What is the result of dividing 4321 by 123 using long division?

• 34

• 35

• 36

• 37

Answer explanation

Dividing 4321 by 123 using long division gives a quotient of 35 with a remainder. The closest whole number is 35, making it the correct answer.

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

Calculate the quotient of 9876 divided by 5 using long division.

• 1974

• 1975

• 1976

• 1977

Answer explanation

To divide 9876 by 5 using long division, 5 goes into 9 once (1), leaving a remainder of 4. Bring down the next digit (8) to make 48. 5 goes into 48 nine times (9), leaving 3. Bring down 7 to make 37. 5 goes into 37 seven times (7), leaving 2. Bring down 6 to make 26. 5 goes into 26 five times (5), leaving 1. Thus, the quotient is 1975.

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

Using long division, find the quotient of 6543 divided by 34.

• 192

• 193

• 194

• 195

Answer explanation

Using long division, 6543 divided by 34 gives a quotient of 192 with a remainder. The calculation shows that 34 goes into 6543 a total of 192 times, confirming that the correct answer is 192.

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

Divide 3456 by 456 using long division. What is the quotient?

• 7

• 8

• 9

• 10

Answer explanation

To divide 3456 by 456 using long division, we find that 456 goes into 3456 a total of 7 times, since 456 x 7 = 3192 and 456 x 8 = 3648 (which exceeds 3456). Thus, the quotient is 7.

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

What is the result of dividing 7890 by 6 using long division?

• 1314

• 1315

• 1316

• 1317

Answer explanation

To divide 7890 by 6 using long division, you find that 6 goes into 78 twelve times (72), leaving 6. Bringing down the next digit (9), 6 goes into 69 eleven times (66), leaving 3. Bringing down the last digit (0), 6 goes into 30 five times. Thus, the result is 1315.

Tags

CCSS.4.NBT.B.6