College

Find the quotient.

\[ 846 \div 9 = ? \]

A. 93 R 8
B. 94
C. 94 R 5
D. 96

Answer :

Sure! Let's solve the problem step-by-step to find the quotient of [tex]\(846 \div 9\)[/tex].

1. Set up the division: We need to divide 846 by 9.

2. Determine how many times 9 goes into the first digit of 846:
- 9 does not go into 8, so we look at the first two digits: 84.

3. Determine how many times 9 goes into 84:
- [tex]\( 9 \times 9 = 81 \)[/tex].
- Subtract 81 from 84: [tex]\( 84 - 81 = 3 \)[/tex].
- So, 9 fits into 84 nine times with a remainder of 3. Write 9 above the 4.

4. Bring down the next digit (6):
- We now have 36 to divide by 9.

5. Determine how many times 9 goes into 36:
- [tex]\( 9 \times 4 = 36 \)[/tex].
- Subtract 36 from 36: [tex]\( 36 - 36 = 0 \)[/tex].
- So, 9 fits into 36 four times with no remainder. Write 4 above the 6.

6. Combine the results:
- The quotient is the number formed by the digits above the line: 94.
- There is no remainder left.

So, the quotient of [tex]\(846 \div 9\)[/tex] is 94 with no remainder, which matches option B.

Answer: B. 94