How to solve 4215306/69

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 4215306/69 | Equatix

Use the $1^{st}$ digit $4$ from dividend $4215306$

$$\begin{array}{l}\phantom{69)}\phantom{1}\\69\overline{)4215306}\\\end{array}$$

Since $4$ is less than $69$, use the next digit $2$ from dividend $4215306$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{69)}0\phantom{2}\\69\overline{)4215306}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $4215306$

$$\begin{array}{l}\phantom{69)}0\phantom{3}\\69\overline{)4215306}\\\end{array}$$

Since $42$ is less than $69$, use the next digit $1$ from dividend $4215306$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{69)}00\phantom{4}\\69\overline{)4215306}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $4215306$

$$\begin{array}{l}\phantom{69)}00\phantom{5}\\69\overline{)4215306}\\\end{array}$$

Find closest multiple of $69$ to $421$. We see that $6 \times 69 = 414$ is the nearest. Now subtract $414$ from $421$ to get reminder $7$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{69)}006\phantom{6}\\69\overline{)4215306}\\\phantom{69)}\underline{\phantom{}414\phantom{9999}}\\\phantom{69)99}7\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $4215306$

$$\begin{array}{l}\phantom{69)}006\phantom{7}\\69\overline{)4215306}\\\phantom{69)}\underline{\phantom{}414\phantom{9999}}\\\phantom{69)99}75\\\end{array}$$

Find closest multiple of $69$ to $75$. We see that $1 \times 69 = 69$ is the nearest. Now subtract $69$ from $75$ to get reminder $6$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{69)}0061\phantom{8}\\69\overline{)4215306}\\\phantom{69)}\underline{\phantom{}414\phantom{9999}}\\\phantom{69)99}75\\\phantom{69)}\underline{\phantom{99}69\phantom{999}}\\\phantom{69)999}6\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $4215306$

$$\begin{array}{l}\phantom{69)}0061\phantom{9}\\69\overline{)4215306}\\\phantom{69)}\underline{\phantom{}414\phantom{9999}}\\\phantom{69)99}75\\\phantom{69)}\underline{\phantom{99}69\phantom{999}}\\\phantom{69)999}63\\\end{array}$$

Since $63$ is less than $69$, use the next digit $0$ from dividend $4215306$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{69)}00610\phantom{10}\\69\overline{)4215306}\\\phantom{69)}\underline{\phantom{}414\phantom{9999}}\\\phantom{69)99}75\\\phantom{69)}\underline{\phantom{99}69\phantom{999}}\\\phantom{69)999}63\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $4215306$

$$\begin{array}{l}\phantom{69)}00610\phantom{11}\\69\overline{)4215306}\\\phantom{69)}\underline{\phantom{}414\phantom{9999}}\\\phantom{69)99}75\\\phantom{69)}\underline{\phantom{99}69\phantom{999}}\\\phantom{69)999}630\\\end{array}$$

Find closest multiple of $69$ to $630$. We see that $9 \times 69 = 621$ is the nearest. Now subtract $621$ from $630$ to get reminder $9$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{69)}006109\phantom{12}\\69\overline{)4215306}\\\phantom{69)}\underline{\phantom{}414\phantom{9999}}\\\phantom{69)99}75\\\phantom{69)}\underline{\phantom{99}69\phantom{999}}\\\phantom{69)999}630\\\phantom{69)}\underline{\phantom{999}621\phantom{9}}\\\phantom{69)99999}9\\\end{array}$$

Use the $7^{th}$ digit $6$ from dividend $4215306$

$$\begin{array}{l}\phantom{69)}006109\phantom{13}\\69\overline{)4215306}\\\phantom{69)}\underline{\phantom{}414\phantom{9999}}\\\phantom{69)99}75\\\phantom{69)}\underline{\phantom{99}69\phantom{999}}\\\phantom{69)999}630\\\phantom{69)}\underline{\phantom{999}621\phantom{9}}\\\phantom{69)99999}96\\\end{array}$$

Find closest multiple of $69$ to $96$. We see that $1 \times 69 = 69$ is the nearest. Now subtract $69$ from $96$ to get reminder $27$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{69)}0061091\phantom{14}\\69\overline{)4215306}\\\phantom{69)}\underline{\phantom{}414\phantom{9999}}\\\phantom{69)99}75\\\phantom{69)}\underline{\phantom{99}69\phantom{999}}\\\phantom{69)999}630\\\phantom{69)}\underline{\phantom{999}621\phantom{9}}\\\phantom{69)99999}96\\\phantom{69)}\underline{\phantom{99999}69\phantom{}}\\\phantom{69)99999}27\\\end{array}$$

Since $27$ is less than $69$, stop the division. The reminder is $27$. The topmost line $0061091$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $61091$.

$$\text{Quotient: }61091$$ $$\text{Reminder: }27$$

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