How to solve 935674/67

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 935674/67 | Equatix

Use the $1^{st}$ digit $9$ from dividend $935674$

$$\begin{array}{l}\phantom{67)}\phantom{1}\\67\overline{)935674}\\\end{array}$$

Since $9$ is less than $67$, use the next digit $3$ from dividend $935674$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{67)}0\phantom{2}\\67\overline{)935674}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $935674$

$$\begin{array}{l}\phantom{67)}0\phantom{3}\\67\overline{)935674}\\\end{array}$$

Find closest multiple of $67$ to $93$. We see that $1 \times 67 = 67$ is the nearest. Now subtract $67$ from $93$ to get reminder $26$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{67)}01\phantom{4}\\67\overline{)935674}\\\phantom{67)}\underline{\phantom{}67\phantom{9999}}\\\phantom{67)}26\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $935674$

$$\begin{array}{l}\phantom{67)}01\phantom{5}\\67\overline{)935674}\\\phantom{67)}\underline{\phantom{}67\phantom{9999}}\\\phantom{67)}265\\\end{array}$$

Find closest multiple of $67$ to $265$. We see that $3 \times 67 = 201$ is the nearest. Now subtract $201$ from $265$ to get reminder $64$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{67)}013\phantom{6}\\67\overline{)935674}\\\phantom{67)}\underline{\phantom{}67\phantom{9999}}\\\phantom{67)}265\\\phantom{67)}\underline{\phantom{}201\phantom{999}}\\\phantom{67)9}64\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $935674$

$$\begin{array}{l}\phantom{67)}013\phantom{7}\\67\overline{)935674}\\\phantom{67)}\underline{\phantom{}67\phantom{9999}}\\\phantom{67)}265\\\phantom{67)}\underline{\phantom{}201\phantom{999}}\\\phantom{67)9}646\\\end{array}$$

Find closest multiple of $67$ to $646$. We see that $9 \times 67 = 603$ is the nearest. Now subtract $603$ from $646$ to get reminder $43$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{67)}0139\phantom{8}\\67\overline{)935674}\\\phantom{67)}\underline{\phantom{}67\phantom{9999}}\\\phantom{67)}265\\\phantom{67)}\underline{\phantom{}201\phantom{999}}\\\phantom{67)9}646\\\phantom{67)}\underline{\phantom{9}603\phantom{99}}\\\phantom{67)99}43\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $935674$

$$\begin{array}{l}\phantom{67)}0139\phantom{9}\\67\overline{)935674}\\\phantom{67)}\underline{\phantom{}67\phantom{9999}}\\\phantom{67)}265\\\phantom{67)}\underline{\phantom{}201\phantom{999}}\\\phantom{67)9}646\\\phantom{67)}\underline{\phantom{9}603\phantom{99}}\\\phantom{67)99}437\\\end{array}$$

Find closest multiple of $67$ to $437$. We see that $6 \times 67 = 402$ is the nearest. Now subtract $402$ from $437$ to get reminder $35$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{67)}01396\phantom{10}\\67\overline{)935674}\\\phantom{67)}\underline{\phantom{}67\phantom{9999}}\\\phantom{67)}265\\\phantom{67)}\underline{\phantom{}201\phantom{999}}\\\phantom{67)9}646\\\phantom{67)}\underline{\phantom{9}603\phantom{99}}\\\phantom{67)99}437\\\phantom{67)}\underline{\phantom{99}402\phantom{9}}\\\phantom{67)999}35\\\end{array}$$

Use the $6^{th}$ digit $4$ from dividend $935674$

$$\begin{array}{l}\phantom{67)}01396\phantom{11}\\67\overline{)935674}\\\phantom{67)}\underline{\phantom{}67\phantom{9999}}\\\phantom{67)}265\\\phantom{67)}\underline{\phantom{}201\phantom{999}}\\\phantom{67)9}646\\\phantom{67)}\underline{\phantom{9}603\phantom{99}}\\\phantom{67)99}437\\\phantom{67)}\underline{\phantom{99}402\phantom{9}}\\\phantom{67)999}354\\\end{array}$$

Find closest multiple of $67$ to $354$. We see that $5 \times 67 = 335$ is the nearest. Now subtract $335$ from $354$ to get reminder $19$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{67)}013965\phantom{12}\\67\overline{)935674}\\\phantom{67)}\underline{\phantom{}67\phantom{9999}}\\\phantom{67)}265\\\phantom{67)}\underline{\phantom{}201\phantom{999}}\\\phantom{67)9}646\\\phantom{67)}\underline{\phantom{9}603\phantom{99}}\\\phantom{67)99}437\\\phantom{67)}\underline{\phantom{99}402\phantom{9}}\\\phantom{67)999}354\\\phantom{67)}\underline{\phantom{999}335\phantom{}}\\\phantom{67)9999}19\\\end{array}$$

Since $19$ is less than $67$, stop the division. The reminder is $19$. The topmost line $013965$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $13965$.

$$\text{Quotient: }13965$$ $$\text{Reminder: }19$$

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