Quotient and Remainder

Problem 1:

Loretta has 16 candies. She wants to give same number of candies to each of her five friends. How many candies can she give to each of her friends? How many candies will Loretta have remaining?

Solution

Step 1:

The problem can be written as a division statement 16 ÷ 5. The largest multiple of 5 that is less than 16 is 5 × 3 = 15.

So 3 is the quotient and 16 – 15 = 1 is the remainder.

Step 2:

So 16 ÷ 5 = 3 R 1.

So Loretta can give 3 candies each to her five friends and have 1 candy left over with her.

Problem 2:

Phil has 31 playing cards. He wants to deal same number of cards to each of four players. How many cards can he deal to each of the four players? How many cards will be remaining with Phil?

Solution

Step 1:

The problem can be written as a division statement 31 ÷ 4. The largest multiple of 4 that is less than 31 is 4 × 7 = 28.

So 7 is the quotient and 31 – 28 = 3 is the remainder.

Step 2:

So 31 ÷ 4 = 7 R 3.

So Phil can deal 7 cards each to the four players and have 3 cards left over with him.