**Dividend divisor quotient remainder : **

When we divide a number by another number, we will have the terms dividend, divisor, quotient and remainder.

The number which we divide is called the dividend.

The number by which we divide is called the divisor.

The result obtained is called the quotient.

The number left over is called the remainder.

More clearly,

We can write the relationship among dividend, divisor, quotient and remainder using division algorithm as given below.

**Dividend = Quotient x Divisor + Remainder **

Example :

**Problem 1 :**

Divide 300 by 7, list out dividend, divisor, quotient, remainder and write division algorithm.

**Solution :**

Let us divide 300 by 7 using long division as given below.

From the above long division, we have

**Dividend = 300**

**Divisor = 7**

**Quotient = 42**

**Remainder = 6**

Division algorithm for the above division

**Problem 2 :**

Divide 258 by 9, list out dividend, divisor, quotient, remainder and write division algorithm.

**Solution :**

As we have seen in problem 1, if we divide 258 by 9 using long division, we get

**Dividend = 258**

**Divisor = 9**

**Quotient = 28**

**Remainder = 6**

Division algorithm for the above division is

**258 = 28x9 + 6**

**Problem 3 :**

Divide 400 by 8, list out dividend, divisor, quotient, remainder and write division algorithm.

**Solution :**

As we have seen in problem 1, if we divide 400 by 8 using long division, we get

**Dividend = 400**

**Divisor = 8**

**Quotient = 50**

**Remainder = 0**

Division algorithm for the above division is

**400 = 50x8 + 0**

**Problem 4 :**

Divide 1675 by 13, list out dividend, divisor, quotient, remainder and write division algorithm.

**Solution :**

As we have seen in problem 1, if we divide 1675 by 13 using long division, we get

**Dividend = 1675**

**Divisor = 13**

**Quotient = 128**

**Remainder = 11**

Division algorithm for the above division is

**1675 = 128x13 + 11**

**Problem 5 :**

Divide 750 by 16, list out dividend, divisor, quotient, remainder and write division algorithm.

**Solution :**

As we have seen in problem 1, if we divide 750 by 16 using long division, we get

**Dividend = 750**

**Divisor = 16**

**Quotient = 46**

**Remainder = 14**

Division algorithm for the above division is

**750 = 46x16 + 14**

After having gone through the stuff given above, we hope that the students would have understood "Dividend divisor quotient remainder"

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