How to solve 83029/17

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 83029/17 | Equatix

Question

$$83029/17$$

Evaluate

$\frac{83029}{17}\approx 4884.058823529$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $83029$

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)83029}\\\end{array}$$

Since $8$ is less than $17$, use the next digit $3$ from dividend $83029$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)83029}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $83029$

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)83029}\\\end{array}$$

Find closest multiple of $17$ to $83$. We see that $4 \times 17 = 68$ is the nearest. Now subtract $68$ from $83$ to get reminder $15$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{17)}04\phantom{4}\\17\overline{)83029}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}15\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $83029$

$$\begin{array}{l}\phantom{17)}04\phantom{5}\\17\overline{)83029}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}150\\\end{array}$$

Find closest multiple of $17$ to $150$. We see that $8 \times 17 = 136$ is the nearest. Now subtract $136$ from $150$ to get reminder $14$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{17)}048\phantom{6}\\17\overline{)83029}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}150\\\phantom{17)}\underline{\phantom{}136\phantom{99}}\\\phantom{17)9}14\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $83029$

$$\begin{array}{l}\phantom{17)}048\phantom{7}\\17\overline{)83029}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}150\\\phantom{17)}\underline{\phantom{}136\phantom{99}}\\\phantom{17)9}142\\\end{array}$$

Find closest multiple of $17$ to $142$. We see that $8 \times 17 = 136$ is the nearest. Now subtract $136$ from $142$ to get reminder $6$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{17)}0488\phantom{8}\\17\overline{)83029}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}150\\\phantom{17)}\underline{\phantom{}136\phantom{99}}\\\phantom{17)9}142\\\phantom{17)}\underline{\phantom{9}136\phantom{9}}\\\phantom{17)999}6\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $83029$

$$\begin{array}{l}\phantom{17)}0488\phantom{9}\\17\overline{)83029}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}150\\\phantom{17)}\underline{\phantom{}136\phantom{99}}\\\phantom{17)9}142\\\phantom{17)}\underline{\phantom{9}136\phantom{9}}\\\phantom{17)999}69\\\end{array}$$

Find closest multiple of $17$ to $69$. We see that $4 \times 17 = 68$ is the nearest. Now subtract $68$ from $69$ to get reminder $1$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{17)}04884\phantom{10}\\17\overline{)83029}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)}150\\\phantom{17)}\underline{\phantom{}136\phantom{99}}\\\phantom{17)9}142\\\phantom{17)}\underline{\phantom{9}136\phantom{9}}\\\phantom{17)999}69\\\phantom{17)}\underline{\phantom{999}68\phantom{}}\\\phantom{17)9999}1\\\end{array}$$

Since $1$ is less than $17$, stop the division. The reminder is $1$. The topmost line $04884$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4884$.

$$\text{Quotient: }4884$$ $$\text{Reminder: }1$$

Show Solution

Factor

$\frac{79 \cdot 1051}{17} = 4884\frac{1}{17} = 4884.058823529412$

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Steps For Long Division Method

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