Division with Remainders

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The basic mathematical operations in math are addition, subtraction, multiplication and division. Division is one of the arithmetic operations used in different branches of mathematics. Division is denoted by a cross sign ÷. The number which is divided is called as the dividend. The number with which the dividend is divided is called the divisor. Using the dividend and the divisor the quotient and the remainder is further determined. Long division is a useful method in division. In other words when we divide something there is sometime something left over and It is called the remainder.

Example 1: There are 85 chocolates in a box. How many chocolates will each kid receive if they were to be divided equally between 6 children? 

Solution: Total number of chocolates in a box = 85.
Number of children = 6.
Number of chocolates per kid = Total chocolates / Number of children.
Therefore, each of them will receive= 85 / 6 = 85 ÷ 6.
Remainder = 1; Quotient = 14.

Hence, each of them will be receive 14 chocolates.
Question: Multiple choice question (Pick the correct option.)

What is the remainder when 726 is divided by 7?

a)    3                      b) 4                 c) 5                 d) None of these.

Correct answer: option c.

The first digit is equal to 7. Start with the first digit. Divide the hundreds.

Use 7 x 1 = 7. Subtract 7 – 7 = 0.

Now bring the ten’s place down. Divide the tens.

Use 7 x 0 = 0. Subtract 2 – 0 = 2.

Now bring down the one’s place. Divide the ones.

Use 7 x 3 = 21. Subtract 26 – 21 = 5.

Hence remainder = 5.

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