(6526:251+19)*19-489

Let's break down the expression step-by-step:

1. Calculate \( 6526 \div 251 \): \[ 6526 \div 251 \approx 25.9 \] (However, for more exact calculations, we will keep the fraction.)

2. Now add 19 to the result: \[ \frac{6526}{251} + 19 \] To combine these, convert 19 into a fraction with the same denominator: \[ 19 = \frac{19 \times 251}{251} = \frac{4769}{251} \] Now, \[ \frac{6526 + 4769}{251} = \frac{11295}{251} \]

3. Multiply by 19: \[ \frac{11295}{251} \times 19 = \frac{11295 \times 19}{251} = \frac{214605}{251} \]

4. Subtract 489 (which we can also convert to a fraction with the same denominator): \[ 489 = \frac{489 \times 251}{251} = \frac{122739}{251} \]

5. Now combine the fractions: \[ \frac{214605}{251} - \frac{122739}{251} = \frac{214605 - 122739}{251} = \frac{91866}{251} \]

6. Perform the final division: \[ 91866 \div 251 \approx 365.5 \]

So, the final result of the expression \( (6526:251 + 19) \times 19 - 489 \) is approximately \( 365.5 \).

If you want the exact fraction: \[ \frac{91866}{251} \]

This fraction can also be kept in its simplest form, or converted to a decimal for practical applications.