How to solve 916741/84

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 916741/84 | Equatix

Question

$$916741\div84$$

Evaluate

$\frac{130963}{12}\approx 10913.583333333$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $916741$

$$\begin{array}{l}\phantom{84)}\phantom{1}\\84\overline{)916741}\\\end{array}$$

Since $9$ is less than $84$, use the next digit $1$ from dividend $916741$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{84)}0\phantom{2}\\84\overline{)916741}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $916741$

$$\begin{array}{l}\phantom{84)}0\phantom{3}\\84\overline{)916741}\\\end{array}$$

Find closest multiple of $84$ to $91$. We see that $1 \times 84 = 84$ is the nearest. Now subtract $84$ from $91$ to get reminder $7$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{84)}01\phantom{4}\\84\overline{)916741}\\\phantom{84)}\underline{\phantom{}84\phantom{9999}}\\\phantom{84)9}7\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $916741$

$$\begin{array}{l}\phantom{84)}01\phantom{5}\\84\overline{)916741}\\\phantom{84)}\underline{\phantom{}84\phantom{9999}}\\\phantom{84)9}76\\\end{array}$$

Since $76$ is less than $84$, use the next digit $7$ from dividend $916741$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{84)}010\phantom{6}\\84\overline{)916741}\\\phantom{84)}\underline{\phantom{}84\phantom{9999}}\\\phantom{84)9}76\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $916741$

$$\begin{array}{l}\phantom{84)}010\phantom{7}\\84\overline{)916741}\\\phantom{84)}\underline{\phantom{}84\phantom{9999}}\\\phantom{84)9}767\\\end{array}$$

Find closest multiple of $84$ to $767$. We see that $9 \times 84 = 756$ is the nearest. Now subtract $756$ from $767$ to get reminder $11$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{84)}0109\phantom{8}\\84\overline{)916741}\\\phantom{84)}\underline{\phantom{}84\phantom{9999}}\\\phantom{84)9}767\\\phantom{84)}\underline{\phantom{9}756\phantom{99}}\\\phantom{84)99}11\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $916741$

$$\begin{array}{l}\phantom{84)}0109\phantom{9}\\84\overline{)916741}\\\phantom{84)}\underline{\phantom{}84\phantom{9999}}\\\phantom{84)9}767\\\phantom{84)}\underline{\phantom{9}756\phantom{99}}\\\phantom{84)99}114\\\end{array}$$

Find closest multiple of $84$ to $114$. We see that $1 \times 84 = 84$ is the nearest. Now subtract $84$ from $114$ to get reminder $30$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{84)}01091\phantom{10}\\84\overline{)916741}\\\phantom{84)}\underline{\phantom{}84\phantom{9999}}\\\phantom{84)9}767\\\phantom{84)}\underline{\phantom{9}756\phantom{99}}\\\phantom{84)99}114\\\phantom{84)}\underline{\phantom{999}84\phantom{9}}\\\phantom{84)999}30\\\end{array}$$

Use the $6^{th}$ digit $1$ from dividend $916741$

$$\begin{array}{l}\phantom{84)}01091\phantom{11}\\84\overline{)916741}\\\phantom{84)}\underline{\phantom{}84\phantom{9999}}\\\phantom{84)9}767\\\phantom{84)}\underline{\phantom{9}756\phantom{99}}\\\phantom{84)99}114\\\phantom{84)}\underline{\phantom{999}84\phantom{9}}\\\phantom{84)999}301\\\end{array}$$

Find closest multiple of $84$ to $301$. We see that $3 \times 84 = 252$ is the nearest. Now subtract $252$ from $301$ to get reminder $49$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{84)}010913\phantom{12}\\84\overline{)916741}\\\phantom{84)}\underline{\phantom{}84\phantom{9999}}\\\phantom{84)9}767\\\phantom{84)}\underline{\phantom{9}756\phantom{99}}\\\phantom{84)99}114\\\phantom{84)}\underline{\phantom{999}84\phantom{9}}\\\phantom{84)999}301\\\phantom{84)}\underline{\phantom{999}252\phantom{}}\\\phantom{84)9999}49\\\end{array}$$

Since $49$ is less than $84$, stop the division. The reminder is $49$. The topmost line $010913$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $10913$.

$$\text{Quotient: }10913$$ $$\text{Reminder: }49$$

Show Solution

Factor

$\frac{7 \cdot 53 \cdot 353}{2 ^ {2} \cdot 3} = 10913\frac{7}{12} = 10913.583333333334$

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Steps For Long Division Method

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