How to solve 89576/17

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 89576/17 | Equatix

Question

$$89576/17$$

Evaluate

$\frac{89576}{17}\approx 5269.176470588$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $89576$

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)89576}\\\end{array}$$

Since $8$ is less than $17$, use the next digit $9$ from dividend $89576$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)89576}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $89576$

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)89576}\\\end{array}$$

Find closest multiple of $17$ to $89$. We see that $5 \times 17 = 85$ is the nearest. Now subtract $85$ from $89$ to get reminder $4$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{17)}05\phantom{4}\\17\overline{)89576}\\\phantom{17)}\underline{\phantom{}85\phantom{999}}\\\phantom{17)9}4\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $89576$

$$\begin{array}{l}\phantom{17)}05\phantom{5}\\17\overline{)89576}\\\phantom{17)}\underline{\phantom{}85\phantom{999}}\\\phantom{17)9}45\\\end{array}$$

Find closest multiple of $17$ to $45$. We see that $2 \times 17 = 34$ is the nearest. Now subtract $34$ from $45$ to get reminder $11$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{17)}052\phantom{6}\\17\overline{)89576}\\\phantom{17)}\underline{\phantom{}85\phantom{999}}\\\phantom{17)9}45\\\phantom{17)}\underline{\phantom{9}34\phantom{99}}\\\phantom{17)9}11\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $89576$

$$\begin{array}{l}\phantom{17)}052\phantom{7}\\17\overline{)89576}\\\phantom{17)}\underline{\phantom{}85\phantom{999}}\\\phantom{17)9}45\\\phantom{17)}\underline{\phantom{9}34\phantom{99}}\\\phantom{17)9}117\\\end{array}$$

Find closest multiple of $17$ to $117$. We see that $6 \times 17 = 102$ is the nearest. Now subtract $102$ from $117$ to get reminder $15$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{17)}0526\phantom{8}\\17\overline{)89576}\\\phantom{17)}\underline{\phantom{}85\phantom{999}}\\\phantom{17)9}45\\\phantom{17)}\underline{\phantom{9}34\phantom{99}}\\\phantom{17)9}117\\\phantom{17)}\underline{\phantom{9}102\phantom{9}}\\\phantom{17)99}15\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $89576$

$$\begin{array}{l}\phantom{17)}0526\phantom{9}\\17\overline{)89576}\\\phantom{17)}\underline{\phantom{}85\phantom{999}}\\\phantom{17)9}45\\\phantom{17)}\underline{\phantom{9}34\phantom{99}}\\\phantom{17)9}117\\\phantom{17)}\underline{\phantom{9}102\phantom{9}}\\\phantom{17)99}156\\\end{array}$$

Find closest multiple of $17$ to $156$. We see that $9 \times 17 = 153$ is the nearest. Now subtract $153$ from $156$ to get reminder $3$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{17)}05269\phantom{10}\\17\overline{)89576}\\\phantom{17)}\underline{\phantom{}85\phantom{999}}\\\phantom{17)9}45\\\phantom{17)}\underline{\phantom{9}34\phantom{99}}\\\phantom{17)9}117\\\phantom{17)}\underline{\phantom{9}102\phantom{9}}\\\phantom{17)99}156\\\phantom{17)}\underline{\phantom{99}153\phantom{}}\\\phantom{17)9999}3\\\end{array}$$

Since $3$ is less than $17$, stop the division. The reminder is $3$. The topmost line $05269$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5269$.

$$\text{Quotient: }5269$$ $$\text{Reminder: }3$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 11197}{17} = 5269\frac{3}{17} = 5269.176470588235$

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Steps For Long Division Method

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