How to solve 31113753/917

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 31113753/917 | Equatix

Use the $1^{st}$ digit $3$ from dividend $31113753$

$$\begin{array}{l}\phantom{917)}\phantom{1}\\917\overline{)31113753}\\\end{array}$$

Since $3$ is less than $917$, use the next digit $1$ from dividend $31113753$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{917)}0\phantom{2}\\917\overline{)31113753}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $31113753$

$$\begin{array}{l}\phantom{917)}0\phantom{3}\\917\overline{)31113753}\\\end{array}$$

Since $31$ is less than $917$, use the next digit $1$ from dividend $31113753$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{917)}00\phantom{4}\\917\overline{)31113753}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $31113753$

$$\begin{array}{l}\phantom{917)}00\phantom{5}\\917\overline{)31113753}\\\end{array}$$

Since $311$ is less than $917$, use the next digit $1$ from dividend $31113753$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{917)}000\phantom{6}\\917\overline{)31113753}\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $31113753$

$$\begin{array}{l}\phantom{917)}000\phantom{7}\\917\overline{)31113753}\\\end{array}$$

Find closest multiple of $917$ to $3111$. We see that $3 \times 917 = 2751$ is the nearest. Now subtract $2751$ from $3111$ to get reminder $360$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{917)}0003\phantom{8}\\917\overline{)31113753}\\\phantom{917)}\underline{\phantom{}2751\phantom{9999}}\\\phantom{917)9}360\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $31113753$

$$\begin{array}{l}\phantom{917)}0003\phantom{9}\\917\overline{)31113753}\\\phantom{917)}\underline{\phantom{}2751\phantom{9999}}\\\phantom{917)9}3603\\\end{array}$$

Find closest multiple of $917$ to $3603$. We see that $3 \times 917 = 2751$ is the nearest. Now subtract $2751$ from $3603$ to get reminder $852$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{917)}00033\phantom{10}\\917\overline{)31113753}\\\phantom{917)}\underline{\phantom{}2751\phantom{9999}}\\\phantom{917)9}3603\\\phantom{917)}\underline{\phantom{9}2751\phantom{999}}\\\phantom{917)99}852\\\end{array}$$

Use the $6^{th}$ digit $7$ from dividend $31113753$

$$\begin{array}{l}\phantom{917)}00033\phantom{11}\\917\overline{)31113753}\\\phantom{917)}\underline{\phantom{}2751\phantom{9999}}\\\phantom{917)9}3603\\\phantom{917)}\underline{\phantom{9}2751\phantom{999}}\\\phantom{917)99}8527\\\end{array}$$

Find closest multiple of $917$ to $8527$. We see that $9 \times 917 = 8253$ is the nearest. Now subtract $8253$ from $8527$ to get reminder $274$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{917)}000339\phantom{12}\\917\overline{)31113753}\\\phantom{917)}\underline{\phantom{}2751\phantom{9999}}\\\phantom{917)9}3603\\\phantom{917)}\underline{\phantom{9}2751\phantom{999}}\\\phantom{917)99}8527\\\phantom{917)}\underline{\phantom{99}8253\phantom{99}}\\\phantom{917)999}274\\\end{array}$$

Use the $7^{th}$ digit $5$ from dividend $31113753$

$$\begin{array}{l}\phantom{917)}000339\phantom{13}\\917\overline{)31113753}\\\phantom{917)}\underline{\phantom{}2751\phantom{9999}}\\\phantom{917)9}3603\\\phantom{917)}\underline{\phantom{9}2751\phantom{999}}\\\phantom{917)99}8527\\\phantom{917)}\underline{\phantom{99}8253\phantom{99}}\\\phantom{917)999}2745\\\end{array}$$

Find closest multiple of $917$ to $2745$. We see that $2 \times 917 = 1834$ is the nearest. Now subtract $1834$ from $2745$ to get reminder $911$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{917)}0003392\phantom{14}\\917\overline{)31113753}\\\phantom{917)}\underline{\phantom{}2751\phantom{9999}}\\\phantom{917)9}3603\\\phantom{917)}\underline{\phantom{9}2751\phantom{999}}\\\phantom{917)99}8527\\\phantom{917)}\underline{\phantom{99}8253\phantom{99}}\\\phantom{917)999}2745\\\phantom{917)}\underline{\phantom{999}1834\phantom{9}}\\\phantom{917)9999}911\\\end{array}$$

Use the $8^{th}$ digit $3$ from dividend $31113753$

$$\begin{array}{l}\phantom{917)}0003392\phantom{15}\\917\overline{)31113753}\\\phantom{917)}\underline{\phantom{}2751\phantom{9999}}\\\phantom{917)9}3603\\\phantom{917)}\underline{\phantom{9}2751\phantom{999}}\\\phantom{917)99}8527\\\phantom{917)}\underline{\phantom{99}8253\phantom{99}}\\\phantom{917)999}2745\\\phantom{917)}\underline{\phantom{999}1834\phantom{9}}\\\phantom{917)9999}9113\\\end{array}$$

Find closest multiple of $917$ to $9113$. We see that $9 \times 917 = 8253$ is the nearest. Now subtract $8253$ from $9113$ to get reminder $860$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{917)}00033929\phantom{16}\\917\overline{)31113753}\\\phantom{917)}\underline{\phantom{}2751\phantom{9999}}\\\phantom{917)9}3603\\\phantom{917)}\underline{\phantom{9}2751\phantom{999}}\\\phantom{917)99}8527\\\phantom{917)}\underline{\phantom{99}8253\phantom{99}}\\\phantom{917)999}2745\\\phantom{917)}\underline{\phantom{999}1834\phantom{9}}\\\phantom{917)9999}9113\\\phantom{917)}\underline{\phantom{9999}8253\phantom{}}\\\phantom{917)99999}860\\\end{array}$$

Since $860$ is less than $917$, stop the division. The reminder is $860$. The topmost line $00033929$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $33929$.

$$\text{Quotient: }33929$$ $$\text{Reminder: }860$$

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