How to solve 1664212/347

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 1664212/347 | Equatix

Use the $1^{st}$ digit $1$ from dividend $1664212$

$$\begin{array}{l}\phantom{347)}\phantom{1}\\347\overline{)1664212}\\\end{array}$$

Since $1$ is less than $347$, use the next digit $6$ from dividend $1664212$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{347)}0\phantom{2}\\347\overline{)1664212}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $1664212$

$$\begin{array}{l}\phantom{347)}0\phantom{3}\\347\overline{)1664212}\\\end{array}$$

Since $16$ is less than $347$, use the next digit $6$ from dividend $1664212$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{347)}00\phantom{4}\\347\overline{)1664212}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $1664212$

$$\begin{array}{l}\phantom{347)}00\phantom{5}\\347\overline{)1664212}\\\end{array}$$

Since $166$ is less than $347$, use the next digit $4$ from dividend $1664212$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{347)}000\phantom{6}\\347\overline{)1664212}\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $1664212$

$$\begin{array}{l}\phantom{347)}000\phantom{7}\\347\overline{)1664212}\\\end{array}$$

Find closest multiple of $347$ to $1664$. We see that $4 \times 347 = 1388$ is the nearest. Now subtract $1388$ from $1664$ to get reminder $276$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{347)}0004\phantom{8}\\347\overline{)1664212}\\\phantom{347)}\underline{\phantom{}1388\phantom{999}}\\\phantom{347)9}276\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $1664212$

$$\begin{array}{l}\phantom{347)}0004\phantom{9}\\347\overline{)1664212}\\\phantom{347)}\underline{\phantom{}1388\phantom{999}}\\\phantom{347)9}2762\\\end{array}$$

Find closest multiple of $347$ to $2762$. We see that $7 \times 347 = 2429$ is the nearest. Now subtract $2429$ from $2762$ to get reminder $333$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{347)}00047\phantom{10}\\347\overline{)1664212}\\\phantom{347)}\underline{\phantom{}1388\phantom{999}}\\\phantom{347)9}2762\\\phantom{347)}\underline{\phantom{9}2429\phantom{99}}\\\phantom{347)99}333\\\end{array}$$

Use the $6^{th}$ digit $1$ from dividend $1664212$

$$\begin{array}{l}\phantom{347)}00047\phantom{11}\\347\overline{)1664212}\\\phantom{347)}\underline{\phantom{}1388\phantom{999}}\\\phantom{347)9}2762\\\phantom{347)}\underline{\phantom{9}2429\phantom{99}}\\\phantom{347)99}3331\\\end{array}$$

Find closest multiple of $347$ to $3331$. We see that $9 \times 347 = 3123$ is the nearest. Now subtract $3123$ from $3331$ to get reminder $208$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{347)}000479\phantom{12}\\347\overline{)1664212}\\\phantom{347)}\underline{\phantom{}1388\phantom{999}}\\\phantom{347)9}2762\\\phantom{347)}\underline{\phantom{9}2429\phantom{99}}\\\phantom{347)99}3331\\\phantom{347)}\underline{\phantom{99}3123\phantom{9}}\\\phantom{347)999}208\\\end{array}$$

Use the $7^{th}$ digit $2$ from dividend $1664212$

$$\begin{array}{l}\phantom{347)}000479\phantom{13}\\347\overline{)1664212}\\\phantom{347)}\underline{\phantom{}1388\phantom{999}}\\\phantom{347)9}2762\\\phantom{347)}\underline{\phantom{9}2429\phantom{99}}\\\phantom{347)99}3331\\\phantom{347)}\underline{\phantom{99}3123\phantom{9}}\\\phantom{347)999}2082\\\end{array}$$

Find closest multiple of $347$ to $2082$. We see that $6 \times 347 = 2082$ is the nearest. Now subtract $2082$ from $2082$ to get reminder $0$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{347)}0004796\phantom{14}\\347\overline{)1664212}\\\phantom{347)}\underline{\phantom{}1388\phantom{999}}\\\phantom{347)9}2762\\\phantom{347)}\underline{\phantom{9}2429\phantom{99}}\\\phantom{347)99}3331\\\phantom{347)}\underline{\phantom{99}3123\phantom{9}}\\\phantom{347)999}2082\\\phantom{347)}\underline{\phantom{999}2082\phantom{}}\\\phantom{347)9999999}0\\\end{array}$$

Since $0$ is less than $347$, stop the division. The reminder is $0$. The topmost line $0004796$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4796$.

$$\text{Quotient: }4796$$ $$\text{Reminder: }0$$

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