How to solve 61657988/3116

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 61657988/3116 | Equatix

Use the $1^{st}$ digit $6$ from dividend $61657988$

$$\begin{array}{l}\phantom{3116)}\phantom{1}\\3116\overline{)61657988}\\\end{array}$$

Since $6$ is less than $3116$, use the next digit $1$ from dividend $61657988$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{3116)}0\phantom{2}\\3116\overline{)61657988}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $61657988$

$$\begin{array}{l}\phantom{3116)}0\phantom{3}\\3116\overline{)61657988}\\\end{array}$$

Since $61$ is less than $3116$, use the next digit $6$ from dividend $61657988$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{3116)}00\phantom{4}\\3116\overline{)61657988}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $61657988$

$$\begin{array}{l}\phantom{3116)}00\phantom{5}\\3116\overline{)61657988}\\\end{array}$$

Since $616$ is less than $3116$, use the next digit $5$ from dividend $61657988$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{3116)}000\phantom{6}\\3116\overline{)61657988}\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $61657988$

$$\begin{array}{l}\phantom{3116)}000\phantom{7}\\3116\overline{)61657988}\\\end{array}$$

Find closest multiple of $3116$ to $6165$. We see that $1 \times 3116 = 3116$ is the nearest. Now subtract $3116$ from $6165$ to get reminder $3049$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{3116)}0001\phantom{8}\\3116\overline{)61657988}\\\phantom{3116)}\underline{\phantom{}3116\phantom{9999}}\\\phantom{3116)}3049\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $61657988$

$$\begin{array}{l}\phantom{3116)}0001\phantom{9}\\3116\overline{)61657988}\\\phantom{3116)}\underline{\phantom{}3116\phantom{9999}}\\\phantom{3116)}30497\\\end{array}$$

Find closest multiple of $3116$ to $30497$. We see that $9 \times 3116 = 28044$ is the nearest. Now subtract $28044$ from $30497$ to get reminder $2453$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{3116)}00019\phantom{10}\\3116\overline{)61657988}\\\phantom{3116)}\underline{\phantom{}3116\phantom{9999}}\\\phantom{3116)}30497\\\phantom{3116)}\underline{\phantom{}28044\phantom{999}}\\\phantom{3116)9}2453\\\end{array}$$

Use the $6^{th}$ digit $9$ from dividend $61657988$

$$\begin{array}{l}\phantom{3116)}00019\phantom{11}\\3116\overline{)61657988}\\\phantom{3116)}\underline{\phantom{}3116\phantom{9999}}\\\phantom{3116)}30497\\\phantom{3116)}\underline{\phantom{}28044\phantom{999}}\\\phantom{3116)9}24539\\\end{array}$$

Find closest multiple of $3116$ to $24539$. We see that $7 \times 3116 = 21812$ is the nearest. Now subtract $21812$ from $24539$ to get reminder $2727$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{3116)}000197\phantom{12}\\3116\overline{)61657988}\\\phantom{3116)}\underline{\phantom{}3116\phantom{9999}}\\\phantom{3116)}30497\\\phantom{3116)}\underline{\phantom{}28044\phantom{999}}\\\phantom{3116)9}24539\\\phantom{3116)}\underline{\phantom{9}21812\phantom{99}}\\\phantom{3116)99}2727\\\end{array}$$

Use the $7^{th}$ digit $8$ from dividend $61657988$

$$\begin{array}{l}\phantom{3116)}000197\phantom{13}\\3116\overline{)61657988}\\\phantom{3116)}\underline{\phantom{}3116\phantom{9999}}\\\phantom{3116)}30497\\\phantom{3116)}\underline{\phantom{}28044\phantom{999}}\\\phantom{3116)9}24539\\\phantom{3116)}\underline{\phantom{9}21812\phantom{99}}\\\phantom{3116)99}27278\\\end{array}$$

Find closest multiple of $3116$ to $27278$. We see that $8 \times 3116 = 24928$ is the nearest. Now subtract $24928$ from $27278$ to get reminder $2350$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{3116)}0001978\phantom{14}\\3116\overline{)61657988}\\\phantom{3116)}\underline{\phantom{}3116\phantom{9999}}\\\phantom{3116)}30497\\\phantom{3116)}\underline{\phantom{}28044\phantom{999}}\\\phantom{3116)9}24539\\\phantom{3116)}\underline{\phantom{9}21812\phantom{99}}\\\phantom{3116)99}27278\\\phantom{3116)}\underline{\phantom{99}24928\phantom{9}}\\\phantom{3116)999}2350\\\end{array}$$

Use the $8^{th}$ digit $8$ from dividend $61657988$

$$\begin{array}{l}\phantom{3116)}0001978\phantom{15}\\3116\overline{)61657988}\\\phantom{3116)}\underline{\phantom{}3116\phantom{9999}}\\\phantom{3116)}30497\\\phantom{3116)}\underline{\phantom{}28044\phantom{999}}\\\phantom{3116)9}24539\\\phantom{3116)}\underline{\phantom{9}21812\phantom{99}}\\\phantom{3116)99}27278\\\phantom{3116)}\underline{\phantom{99}24928\phantom{9}}\\\phantom{3116)999}23508\\\end{array}$$

Find closest multiple of $3116$ to $23508$. We see that $7 \times 3116 = 21812$ is the nearest. Now subtract $21812$ from $23508$ to get reminder $1696$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{3116)}00019787\phantom{16}\\3116\overline{)61657988}\\\phantom{3116)}\underline{\phantom{}3116\phantom{9999}}\\\phantom{3116)}30497\\\phantom{3116)}\underline{\phantom{}28044\phantom{999}}\\\phantom{3116)9}24539\\\phantom{3116)}\underline{\phantom{9}21812\phantom{99}}\\\phantom{3116)99}27278\\\phantom{3116)}\underline{\phantom{99}24928\phantom{9}}\\\phantom{3116)999}23508\\\phantom{3116)}\underline{\phantom{999}21812\phantom{}}\\\phantom{3116)9999}1696\\\end{array}$$

Since $1696$ is less than $3116$, stop the division. The reminder is $1696$. The topmost line $00019787$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $19787$.

$$\text{Quotient: }19787$$ $$\text{Reminder: }1696$$

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