Question

Find the divisor when dividend = 9783, quotient = 155 and remainder = 18.
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Answer 1

Step-by-step explanation:

Find the divisor when dividend = 9783, quotient = 155 and remainder = 18.

Dividend: the number or numerical expression that is being divided

Divisor: the number or numerical expression that you are dividing by

Quotient*: the result of dividing the dividend by the divisor

We thus have:

[math]\frac {Dividend}{Divisor} = Quotient[/math]

Multiplying both sides of this equation by the Divisor, we have:

[math]Dividend = Quotient \times Divisor[/math]

Dividing both sides by the Quotient, we have:

[math]\frac {Dividend}{Quotient} = Divisor[/math]

Note: Less commonly, the Quotient is defined as being an integer, in which case we would also have a remainder. But, as no remainder is mentioned, we can consider it to be zero, which means that our above equation still holds.

Answer 2

1. Dividend=divisor×quotient+remainder
2. 9783=x×155+18
3. 9783=155x+18
4. 9783-18=155x
5. 9765=155x
6. x=9765/155
7. x=63