Remainder method something i beg your pardon is ‘left over’ or ‘remaining’.

You are watching: Why is the remainder always less than the divisor

If you have actually 9 toffees and also you share that equally v your four friends. How plenty of toffees will you have?

If you give two toffees every to her friends, girlfriend would have shared 8 toffees. Only1 toffee will remain with you, and also this leftover of 1 toffee is referred to as the remainder.

Mathematically we can write the above expression as:

9 ÷ 4 = 2 remainder 1

Where 9 is the dividend, 4 is the divisor, 2 is the quotient, and also 1 is the remainder.

On dividing 22 by 3.

We obtain 3 equal parts of 7, that include up to 21

3 x 7 = 21.

We are left v 1. This 1 is the remainder.

When one number cannot divide one more number completely, the le obtain a remainder.

**Examples**:

18 ÷ 7 | Remainder 4 |

15 ÷ 10 | Remainder 5 |

23 ÷ 6 | Remainder 5 |

46 ÷ 9 | Remainder 1 |

15 ÷ 5 | Remainder 0 |

**Properties of Remainder:**

When one number divides one more number completely, the remainder is 0.

The remainder is constantly less 보다 the divisor. If the remainder is higher than the divisor, it method that the division is incomplete.

It can be greater than or lesser 보다 the quotient. For example; once 41 is separated by 7, the quotient is 5 and also the remainder is 6. Here the remainder is greater than the quotient.

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