To solve the division [tex]\( \frac{16}{3} \)[/tex] and express the result in the form of a quotient and a remainder, we will perform the following steps:
1. Division Setup: We need to determine how many times 3 can be evenly divided into 16. In other words, we are looking for the quotient.
- Write it as [tex]\( 3 \longdiv { 16 } \)[/tex].
2. Determine the Quotient:
- Start from the left: How many times does 3 go into 1? It goes 0 times because 1 is smaller than 3.
- Move to the next digit: How many times does 3 go into 16? It goes 5 times because [tex]\( 3 \times 5 = 15 \)[/tex] and 15 is the largest multiple of 3 that is less than 16.
The quotient is therefore 5.
3. Calculate the Remainder:
- Subtract the product of the divisor and the quotient from the original number: [tex]\( 16 - 15 = 1 \)[/tex].
The remainder is 1.
So, the full solution to [tex]\( \frac{16}{3} \)[/tex] is:
- Quotient: 5
- Remainder: 1
Therefore, [tex]\( 16 \div 3 \)[/tex] results in a quotient of 5 and a remainder of 1.
