Divide (use the remainder form a Rb, where a is quotient and b is remainder). $2,362 \div 76$
A) 6 R 76
B) 31 R 6
C) 76 R 6
D) 6 R 31
E) 31 R 31

Question

Divide (use the remainder form a Rb, where a is quotient and b is remainder).   $2,362 \div 76$
A) 6 R 76
B) 31 R 6
C) 76 R 6
D) 6 R 31
E) 31 R 31

Quizplus · Accepted Answer

To divide using the remainder form, we need to write 2,362 as $76a + b$, where $a$ is the quotient and $b$ is the remainder.

To find $a$, we start by dividing the largest multiple of 76 that is less than or equal to 2,362, which is $76	imes31=2,356$.

Then, we can write:

$$2,362 = 76	imes31 + 6$$

So $a=31$ and $b=6$.

Therefore, the answer is B) 31 R 6.

Divide (Use the Remainder Form a Rb, Where a Is 2,362÷762,362 \div 762,362÷76