# In a division sum, we have dividend=199, quotient =16 and remainder =7.The divisor is

Last updated date: 28th Mar 2023

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**Hint:**Here in this question we have to find the value of divisor. In our school we already studied the formula ,

Dividend = Divisor × Quotient +remainder

We have to substitute the values of dividend , remainder , quotient as given in the question. We can simplify the equation and find the value of the divisor.

**Complete step-by-step solution:**

Let us consider the value of the divisor as ‘d’ .

Dividend = 199

Quotient = 16

Remainder = 7

By substituting above values in the formula mentioned in hint, it turns out to be

\[\Rightarrow 199 = d \times 16 + 7 \\

\Rightarrow 199 - 7 = d \times 16 \\

\Rightarrow 192 = d \times 16 \\

\Rightarrow d = \dfrac{{192}}{{16}} \\

\Rightarrow d = 12 \]

**Hence the value of divisor d = 12 for the division, dividend=199, quotient =16 and remainder =7.**

**Note:**The distribution of ‘k’ number of things equally and containing ‘n’ parts together each term as a division of ‘k’ by ‘n’. Here k is called as dividend and n is called as divisor. Now let us distribute the ’k’ number of things equally into ‘s’ parts and containing ‘n’ parts together, here we term ‘s’ as quotients. Remainder is the remaining value of dividend ‘k’ after subtracting the value of ‘s’ parts , each taken ‘n’ together . Let us term it as ‘r’ .

For a division to take place the dividend should always be greater than the divisor as remainder . If dividend is less than divisor then it becomes a fraction. Quotient is greater than or equal to 0.

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