How to solve (2033)/(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 (2033)/(17) | Equatix

Question

$$\frac{ 2033 }{ 17 }$$

Evaluate

$\frac{2033}{17}\approx 119.588235294$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2033$

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)2033}\\\end{array}$$

Since $2$ is less than $17$, use the next digit $0$ from dividend $2033$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)2033}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $2033$

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)2033}\\\end{array}$$

Find closest multiple of $17$ to $20$. We see that $1 \times 17 = 17$ is the nearest. Now subtract $17$ from $20$ to get reminder $3$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{17)}01\phantom{4}\\17\overline{)2033}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}3\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $2033$

$$\begin{array}{l}\phantom{17)}01\phantom{5}\\17\overline{)2033}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}33\\\end{array}$$

Find closest multiple of $17$ to $33$. We see that $1 \times 17 = 17$ is the nearest. Now subtract $17$ from $33$ to get reminder $16$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{17)}011\phantom{6}\\17\overline{)2033}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}33\\\phantom{17)}\underline{\phantom{9}17\phantom{9}}\\\phantom{17)9}16\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $2033$

$$\begin{array}{l}\phantom{17)}011\phantom{7}\\17\overline{)2033}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}33\\\phantom{17)}\underline{\phantom{9}17\phantom{9}}\\\phantom{17)9}163\\\end{array}$$

Find closest multiple of $17$ to $163$. We see that $9 \times 17 = 153$ is the nearest. Now subtract $153$ from $163$ to get reminder $10$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{17)}0119\phantom{8}\\17\overline{)2033}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}33\\\phantom{17)}\underline{\phantom{9}17\phantom{9}}\\\phantom{17)9}163\\\phantom{17)}\underline{\phantom{9}153\phantom{}}\\\phantom{17)99}10\\\end{array}$$

Since $10$ is less than $17$, stop the division. The reminder is $10$. The topmost line $0119$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $119$.

$$\text{Quotient: }119$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{19 \cdot 107}{17} = 119\frac{10}{17} = 119.58823529411765$

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Steps For Long Division Method

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