How to solve 74836/17

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 74836/17 | Equatix

Question

$$74836\div17$$

Evaluate

$\frac{74836}{17}\approx 4402.117647059$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $74836$

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)74836}\\\end{array}$$

Since $7$ is less than $17$, use the next digit $4$ from dividend $74836$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)74836}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $74836$

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)74836}\\\end{array}$$

Find closest multiple of $17$ to $74$. We see that $4 \times 17 = 68$ is the nearest. Now subtract $68$ from $74$ to get reminder $6$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{17)}04\phantom{4}\\17\overline{)74836}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)9}6\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $74836$

$$\begin{array}{l}\phantom{17)}04\phantom{5}\\17\overline{)74836}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)9}68\\\end{array}$$

Find closest multiple of $17$ to $68$. We see that $4 \times 17 = 68$ is the nearest. Now subtract $68$ from $68$ to get reminder $0$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{17)}044\phantom{6}\\17\overline{)74836}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)9}68\\\phantom{17)}\underline{\phantom{9}68\phantom{99}}\\\phantom{17)999}0\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $74836$

$$\begin{array}{l}\phantom{17)}044\phantom{7}\\17\overline{)74836}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)9}68\\\phantom{17)}\underline{\phantom{9}68\phantom{99}}\\\phantom{17)999}3\\\end{array}$$

Since $3$ is less than $17$, use the next digit $6$ from dividend $74836$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{17)}0440\phantom{8}\\17\overline{)74836}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)9}68\\\phantom{17)}\underline{\phantom{9}68\phantom{99}}\\\phantom{17)999}3\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $74836$

$$\begin{array}{l}\phantom{17)}0440\phantom{9}\\17\overline{)74836}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)9}68\\\phantom{17)}\underline{\phantom{9}68\phantom{99}}\\\phantom{17)999}36\\\end{array}$$

Find closest multiple of $17$ to $36$. We see that $2 \times 17 = 34$ is the nearest. Now subtract $34$ from $36$ to get reminder $2$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{17)}04402\phantom{10}\\17\overline{)74836}\\\phantom{17)}\underline{\phantom{}68\phantom{999}}\\\phantom{17)9}68\\\phantom{17)}\underline{\phantom{9}68\phantom{99}}\\\phantom{17)999}36\\\phantom{17)}\underline{\phantom{999}34\phantom{}}\\\phantom{17)9999}2\\\end{array}$$

Since $2$ is less than $17$, stop the division. The reminder is $2$. The topmost line $04402$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4402$.

$$\text{Quotient: }4402$$ $$\text{Reminder: }2$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 53 \cdot 353}{17} = 4402\frac{2}{17} = 4402.117647058823$

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Steps For Long Division Method

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