High School

What is the quotient of this division problem?

[tex] 2545 \div 16 = ? [/tex]

A. 159 r 1
B. 158 r 14
C. 159 r 15
D. 162 r 8

Answer :

To find the quotient and remainder when dividing 2545 by 16, you can follow these steps:

1. Set up the division: Begin by writing 2545 inside the division bracket and 16 outside.

2. Divide the digits: Start by seeing how many times 16 can fit into the first part of the dividend. With 254, see how many times 16 fits into it:
- 16 goes into 25 once (because 16 x 1 = 16).
- Subtract 16 from 25 to get a remainder of 9.
- Bring down the next digit, 4, making it 94.

3. Continue dividing: Now, figure out how many times 16 can fit into 94:
- 16 goes into 94 five times (because 16 x 5 = 80).
- Subtract 80 from 94 to get a remainder of 14.
- There's no digit left to bring down, so this remainder is for the entire division of 254 by 16.

4. Continue with the next digit: Now work with the originally left '5' in 2545.
- Bring it down to the previous remainder (14), becoming 145.
- Divide 145 by 16.
- 16 goes into 145 nine times (because 16 x 9 = 144).
- Subtract 144 from 145 to get a remainder of 1.

5. Write the final result: The result of the division is a quotient of 159 with a remainder of 1.

Therefore, 2545 divided by 16 gives a quotient of 159 with a remainder of 1, making the correct answer:

A. 159 r 1