Place the numbers representing the divisor and the dividend into a division-like configuration.

The first number in the dividend <math><mstyle displaystyle="true"><mrow><mo>(</mo><mn>4</mn><mo>)</mo></mrow></mstyle></math> is put into the first position of the result area (below the horizontal line).

Multiply the newest entry in the result <math><mstyle displaystyle="true"><mrow><mo>(</mo><mn>4</mn><mo>)</mo></mrow></mstyle></math> by the divisor <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mn>2</mn><mo>)</mo></mrow></mstyle></math> and place the result of <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mn>8</mn><mo>)</mo></mrow></mstyle></math> under the next term in the dividend <math><mstyle displaystyle="true"><mrow><mo>(</mo><mn>5</mn><mo>)</mo></mrow></mstyle></math> .

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Multiply the newest entry in the result <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mn>3</mn><mo>)</mo></mrow></mstyle></math> by the divisor <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mn>2</mn><mo>)</mo></mrow></mstyle></math> and place the result of <math><mstyle displaystyle="true"><mrow><mo>(</mo><mn>6</mn><mo>)</mo></mrow></mstyle></math> under the next term in the dividend <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mn>6</mn><mo>)</mo></mrow></mstyle></math> .

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

Simplify the quotient polynomial.

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