Long Division with Remainders Quiz

Divide 12345 by 12. What is the quotient and remainder as a fraction?

• 1028 R9

• 1029

Answer explanation

To divide 12345 by 12, we get a quotient of 1028 and a remainder of 9. The remainder can be expressed as a fraction of the divisor: 9/12. Thus, the answer is 1028 \frac{9}{12}, which matches the correct choice.

What is 54321 divided by 23, with the remainder as a fraction?

Answer explanation

Dividing 54321 by 23 gives a quotient of 2361 and a remainder of 18. To express the remainder as a fraction, we write it as 18/23. Thus, the correct answer is 2361 \frac{18}{23}.

Calculate 67890 divided by 34. Express the remainder as a fraction.

Answer explanation

To find 67890 divided by 34, perform the division: 67890 ÷ 34 = 1996 with a remainder of 2. The remainder as a fraction is 2/34, which simplifies to 1/17. Thus, the correct answer is 1996 \frac{2}{34}.

Divide 98765 by 45 and express the remainder as a fraction.

Answer explanation

Dividing 98765 by 45 gives a quotient of 2194 and a remainder of 20. The remainder as a fraction is 20/45, which simplifies to 4/9. Thus, the correct answer is 2194 \(\frac{20}{45}\).

What is 23456 divided by 56, with the remainder as a fraction?

Answer explanation

To find 23456 divided by 56, we calculate 23456 ÷ 56 = 418 with a remainder of 8. The remainder as a fraction is 8/56, which simplifies to 418 1/7. Thus, the correct answer is 418 \frac{8}{56}.

Find the quotient and remainder of 87654 divided by 67, with the remainder as a fraction.

Answer explanation

To find the quotient and remainder of 87654 divided by 67, perform the division: 87654 ÷ 67 = 1308 with a remainder of 16. Thus, the answer is 1308 \(\frac{16}{67}\), matching the correct choice.

Divide 34567 by 78 and express the remainder as a fraction.

Answer explanation

To find the quotient and remainder of 34567 divided by 78, we calculate 34567 ÷ 78 = 443 with a remainder of 11. Thus, the remainder as a fraction is \frac{11}{78}. The correct answer is 443 \frac{11}{78}.

Calculate 76543 divided by 89, with the remainder as a fraction.

Answer explanation

To find 76543 divided by 89, perform the division: 76543 ÷ 89 = 860 with a remainder of 54. The remainder as a fraction is 54/89. Thus, the answer is 860 \frac{54}{89}, which matches the correct choice.

What is 45678 divided by 91, with the remainder as a fraction?

Answer explanation

Dividing 45678 by 91 gives a quotient of 501 and a remainder of 56. The remainder as a fraction is 56/91, making the correct answer 501 \frac{56}{91}.

Divide 65432 by 12 and express the remainder as a fraction.

Answer explanation

Dividing 65432 by 12 gives a quotient of 5452 and a remainder of 4. To express the remainder as a fraction, we write it as \frac{4}{12}, which simplifies to \frac{1}{3}. Thus, the correct answer is 5452 \frac{4}{12}.