How to solve 31056827/4000

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 31056827/4000 | Equatix

Use the $1^{st}$ digit $3$ from dividend $31056827$

$$\begin{array}{l}\phantom{4000)}\phantom{1}\\4000\overline{)31056827}\\\end{array}$$

Since $3$ is less than $4000$, use the next digit $1$ from dividend $31056827$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{4000)}0\phantom{2}\\4000\overline{)31056827}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $31056827$

$$\begin{array}{l}\phantom{4000)}0\phantom{3}\\4000\overline{)31056827}\\\end{array}$$

Since $31$ is less than $4000$, use the next digit $0$ from dividend $31056827$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{4000)}00\phantom{4}\\4000\overline{)31056827}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $31056827$

$$\begin{array}{l}\phantom{4000)}00\phantom{5}\\4000\overline{)31056827}\\\end{array}$$

Since $310$ is less than $4000$, use the next digit $5$ from dividend $31056827$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{4000)}000\phantom{6}\\4000\overline{)31056827}\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $31056827$

$$\begin{array}{l}\phantom{4000)}000\phantom{7}\\4000\overline{)31056827}\\\end{array}$$

Since $3105$ is less than $4000$, use the next digit $6$ from dividend $31056827$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{4000)}0000\phantom{8}\\4000\overline{)31056827}\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $31056827$

$$\begin{array}{l}\phantom{4000)}0000\phantom{9}\\4000\overline{)31056827}\\\end{array}$$

Find closest multiple of $4000$ to $31056$. We see that $7 \times 4000 = 28000$ is the nearest. Now subtract $28000$ from $31056$ to get reminder $3056$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{4000)}00007\phantom{10}\\4000\overline{)31056827}\\\phantom{4000)}\underline{\phantom{}28000\phantom{999}}\\\phantom{4000)9}3056\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $31056827$

$$\begin{array}{l}\phantom{4000)}00007\phantom{11}\\4000\overline{)31056827}\\\phantom{4000)}\underline{\phantom{}28000\phantom{999}}\\\phantom{4000)9}30568\\\end{array}$$

Find closest multiple of $4000$ to $30568$. We see that $7 \times 4000 = 28000$ is the nearest. Now subtract $28000$ from $30568$ to get reminder $2568$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{4000)}000077\phantom{12}\\4000\overline{)31056827}\\\phantom{4000)}\underline{\phantom{}28000\phantom{999}}\\\phantom{4000)9}30568\\\phantom{4000)}\underline{\phantom{9}28000\phantom{99}}\\\phantom{4000)99}2568\\\end{array}$$

Use the $7^{th}$ digit $2$ from dividend $31056827$

$$\begin{array}{l}\phantom{4000)}000077\phantom{13}\\4000\overline{)31056827}\\\phantom{4000)}\underline{\phantom{}28000\phantom{999}}\\\phantom{4000)9}30568\\\phantom{4000)}\underline{\phantom{9}28000\phantom{99}}\\\phantom{4000)99}25682\\\end{array}$$

Find closest multiple of $4000$ to $25682$. We see that $6 \times 4000 = 24000$ is the nearest. Now subtract $24000$ from $25682$ to get reminder $1682$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{4000)}0000776\phantom{14}\\4000\overline{)31056827}\\\phantom{4000)}\underline{\phantom{}28000\phantom{999}}\\\phantom{4000)9}30568\\\phantom{4000)}\underline{\phantom{9}28000\phantom{99}}\\\phantom{4000)99}25682\\\phantom{4000)}\underline{\phantom{99}24000\phantom{9}}\\\phantom{4000)999}1682\\\end{array}$$

Use the $8^{th}$ digit $7$ from dividend $31056827$

$$\begin{array}{l}\phantom{4000)}0000776\phantom{15}\\4000\overline{)31056827}\\\phantom{4000)}\underline{\phantom{}28000\phantom{999}}\\\phantom{4000)9}30568\\\phantom{4000)}\underline{\phantom{9}28000\phantom{99}}\\\phantom{4000)99}25682\\\phantom{4000)}\underline{\phantom{99}24000\phantom{9}}\\\phantom{4000)999}16827\\\end{array}$$

Find closest multiple of $4000$ to $16827$. We see that $4 \times 4000 = 16000$ is the nearest. Now subtract $16000$ from $16827$ to get reminder $827$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{4000)}00007764\phantom{16}\\4000\overline{)31056827}\\\phantom{4000)}\underline{\phantom{}28000\phantom{999}}\\\phantom{4000)9}30568\\\phantom{4000)}\underline{\phantom{9}28000\phantom{99}}\\\phantom{4000)99}25682\\\phantom{4000)}\underline{\phantom{99}24000\phantom{9}}\\\phantom{4000)999}16827\\\phantom{4000)}\underline{\phantom{999}16000\phantom{}}\\\phantom{4000)99999}827\\\end{array}$$

Since $827$ is less than $4000$, stop the division. The reminder is $827$. The topmost line $00007764$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $7764$.

$$\text{Quotient: }7764$$ $$\text{Reminder: }827$$

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