Solution:

To find the reminder when a number is divided by 7, we need to first understand the concept of division and reminder.

Division: Division is an arithmetic operation that splits a number into equal parts or groups. When we divide a number by another number, the result is called the quotient.

Quotient: Quotient is the result of division. It represents how many times one number can be divided by another without leaving a remainder.

Reminder: Reminder is the amount left over after dividing one number by another. It is the difference between the original number and the product of the quotient and the divisor.

Given that the number, when divided by 5, gives 12 as the quotient and 2 as the reminder, we can represent this as follows:

Number = 5 * Quotient + Reminder

Let's substitute the given values into the equation:

Number = 5 * 12 + 2
Number = 60 + 2
Number = 62

So, the number is 62.

To find the reminder when the number 62 is divided by 7, we can use the same concept:

Number = 7 * Quotient + Reminder

Let's substitute the values into the equation:

62 = 7 * Quotient + Reminder

To find the value of the reminder, we need to rewrite the equation as:

62 = 7 * Quotient + Reminder
62 - 7 * Quotient = Reminder

We need to find a value of Quotient that satisfies the equation. Let's try different values of Quotient:

If we take Quotient = 8, then:
62 - 7 * 8 = 62 - 56 = 6

So, when the number 62 is divided by 7, the reminder is 6.

Summary:
- The number, when divided by 5, gives a quotient of 12 and a reminder of 2.
- By substituting these values into the equation, we find the number to be 62.
- To find the reminder when 62 is divided by 7, we use the same equation and find the reminder to be 6.