To solve the problem of dividing [tex]\( a = 54 \)[/tex] by [tex]\( b = 4 \)[/tex] and finding the quotient and remainder, let's break it down step-by-step.
1. Understanding the division:
- The division problem is to determine how many times [tex]\( b \)[/tex] (which is 4) goes into [tex]\( a \)[/tex] (which is 54) without exceeding 54.
2. Finding the quotient:
- The quotient is the largest integer number of times 4 fits into 54.
3. Calculation of the quotient:
- We need to check how many full sets of 4 fit into 54. When you divide 54 by 4:
[tex]\[
54 \div 4 = 13
\][/tex]
- Thus, the quotient is 13.
4. Finding the remainder:
- After fitting 13 full sets of 4 into 54, we need to see what's left over. We calculate this by:
[tex]\[
4 \times 13 = 52
\][/tex]
[tex]\[
54 - 52 = 2
\][/tex]
- Therefore, the remainder is 2.
To summarize, when 54 is divided by 4, the quotient is 13 and the remainder is 2.
So the correct answer is:
D. 13 and 2
