The Correct Answer and Explanation is:
The correct answer is 4 times, with a remainder of 2.
Explanation
The question “How many times does 13 go into 54?” is a division problem. We are asked to divide 54 by 13 and find the whole number result, known as the quotient, as well as any amount left over, which is called the remainder.
Step 1: Find the Quotient
Our first goal is to find out how many full groups of 13 can be made from the number 54. We can do this by using multiplication or repeated subtraction. Using multiplication is often faster. We look for the largest multiple of 13 that is less than or equal to 54.
Let’s list the multiples of 13:
- 13 × 1 = 13
- 13 × 2 = 26
- 13 × 3 = 39
- 13 × 4 = 52
- 13 × 5 = 65
From this list, we see that 13 multiplied by 4 gives us 52, which is the closest we can get to 54 without going over. If we were to try multiplying by 5, the result would be 65, which is larger than 54. Therefore, 13 goes into 54 a total of 4 times. This number, 4, is the quotient.
Step 2: Find the Remainder
Now that we know 13 fits into 54 four whole times, we need to calculate what is left over. The four groups of 13 account for a total of 52 (since 4 × 13 = 52). To find the remainder, we subtract this total from our original number, 54.
The calculation is:
54 – 52 = 2
The result of this subtraction is 2. This means that after making four full groups of 13, there are 2 left over. This leftover amount is the remainder. The remainder must always be smaller than the number you are dividing by, and in this case, 2 is indeed smaller than 13.
Thus, 54 divided by 13 is 4 with a remainder of 2.
