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How do find 51 divided by \[\left( { - 17} \right)\]\[?\]

Answer
VerifiedVerified
538.8k+ views
Hint: Here we have to divide the number 51 from -17. To find the solution for this question we use the division arithmetic operation on these two numbers. The divisor is -17 and dividend 51 is by using a factor or table of multiplication of number 17. We obtain the required solution for the question.

Complete step by step explanation:
The division is a method of distributing a group of things into equal parts otherwise the ways that numbers are combined to make new numbers. It is one of the four basic operations of arithmetic, which gives a fair result of sharing. The division is an operation inverse of multiplication. The sign to indicate division is \[ \div \].
Division has 4 parts: they are divisor, dividend, quotient, and reminder.
Divisor means a number which divides another number.
The number which is getting divided is called dividend.
The number which we get a result is known as the quotient.
The divisor which does not divide a number completely produces a number known as reminder.
The operation of division expressed as
Dividend\[ \div \]Divisor = Quotient
Consider the given question 51 divides (-17)
Here the divisor is -17 and the dividend is 51. It can be expressed in division as
\[51 \div - 17\] or \[\dfrac{{51}}{{ - 17}}\]
\[\begin{array}{*{20}{c}}
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 3} \\
{ \Rightarrow \,\,\,\,\, - 17\,\left| \!{\overline {\,
{\,\begin{array}{*{20}{c}}
{51} \\
{\underline {51} } \\
0
\end{array}} \,}} \right. }
\end{array}\]
Hence reminder as zero then the result quotient is -3.
Generally in the division if the divisor or dividend is a negative value then the quotient will be negative.

Note: The division is one of the arithmetic operations which is implied on the two numbers. The division is also known as repeated subtraction. Where dividend = divisor \[ \times \] quotient + remainder. To solve this or to divide the number we need to know about the tables of multiplication. Sometimes while dividing we get remainder 0 or sometimes a whole number.
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