How Many Times Can 5 Go into 63?

The simple answer? 5 fits into 63 exactly 12 times, with a remainder of 3!

 

Step 1: Understanding the Problem

The question asks how many times the number 5 can be evenly divided into 63. This essentially means we’re looking for the quotient when 63 is divided by 5.

Step 2: Performing the Division

To find out how many times 5 fits into 63, we divide 63 by 5:

635=12.6\frac{63}{5} = 12.6563​=12.6

Step 3: Interpreting the Quotient

• The quotient here is 12.6, which means that 5 can fully go into 63 12 times.
• The “.6” part of the quotient indicates that after fitting 5 into 63 twelve full times, there is still some remainder left.

Step 4: Calculating the Exact Number of Times and Remainder

To understand this in more detail:

1. Multiply the quotient’s whole number part by 5:

   $$12\times 5=60$$This shows that 5 fits into 63 exactly 12 times, totaling 60.

2. Subtract this total from 63 to find the remainder:

   $$63-60=3$$The remainder is 3, which means after fitting 5 into 63 twelve times, 3 units are left over.

Step 5: Final Answer

So, when we ask how many times 5 can go into 63, the answer is:

• 5 can go into 63 a total of 12 times with a remainder of 3.

This can also be expressed as:

$$63÷5=12\text{remainder}3$$

Alternatively, in decimal form, 63 divided by 5 equals 12.6, meaning 5 fits into 63 twelve full times, with a fractional part representing the remainder.

Understanding the Concept

This problem illustrates a basic division concept where we determine how many equal parts (in this case, groups of 5) can be formed out of a total (63). The remainder tells us what is left over after all full groups have been accounted for.

This type of division is fundamental in many mathematical calculations and real-world applications, such as dividing resources, calculating proportions, or distributing items evenly.

Visual Representation

If you were to visualize this:

• Imagine you have 63 objects and you group them into sets of 5.
• You can create 12 complete groups of 5, which use up 60 objects.
• You’ll then have 3 objects left, which are not enough to form another full group of 5.

Conclusion

In conclusion, 5 fits into 63 exactly 12 times, with a remainder of 3. This simple division problem highlights important concepts in mathematics, such as division, quotients, and remainders, and helps develop a deeper understanding of how numbers relate to one another.

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