22051 divided by a number gires quatient 82 and remain 75 . What is the divisor

To find the divisor, we can use the relationship between the dividend, divisor, quotient, and remainder. The formula is: \[ \text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder} \] In this case, the dividend is 22051, the quotient is 82, and the remainder is 75. We can plug these values into the formula: \[ 22051 = (\text{Divisor} \times 82) + 75 \] First, we can subtract the remainder from the dividend: \[ 22051 - 75 = \text{Divisor} \times 82 \] This simplifies to: \[ 21976 = \text{Divisor} \times 82 \] Now, we can solve for the divisor by dividing both sides by 82: \[ \text{Divisor} = \frac{21976}{82} \] Calculating this gives: \[ \text{Divisor} = 268 \] So, the divisor is **268**.