How to solve 1986 45 98

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 1986 45 98 | Equatix

Use the $1^{st}$ digit $9$ from dividend $9864598$

$$\begin{array}{l}\phantom{104)}\phantom{1}\\104\overline{)9864598}\\\end{array}$$

Since $9$ is less than $104$, use the next digit $8$ from dividend $9864598$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{104)}0\phantom{2}\\104\overline{)9864598}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $9864598$

$$\begin{array}{l}\phantom{104)}0\phantom{3}\\104\overline{)9864598}\\\end{array}$$

Since $98$ is less than $104$, use the next digit $6$ from dividend $9864598$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{104)}00\phantom{4}\\104\overline{)9864598}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $9864598$

$$\begin{array}{l}\phantom{104)}00\phantom{5}\\104\overline{)9864598}\\\end{array}$$

Find closest multiple of $104$ to $986$. We see that $9 \times 104 = 936$ is the nearest. Now subtract $936$ from $986$ to get reminder $50$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{104)}009\phantom{6}\\104\overline{)9864598}\\\phantom{104)}\underline{\phantom{}936\phantom{9999}}\\\phantom{104)9}50\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $9864598$

$$\begin{array}{l}\phantom{104)}009\phantom{7}\\104\overline{)9864598}\\\phantom{104)}\underline{\phantom{}936\phantom{9999}}\\\phantom{104)9}504\\\end{array}$$

Find closest multiple of $104$ to $504$. We see that $4 \times 104 = 416$ is the nearest. Now subtract $416$ from $504$ to get reminder $88$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{104)}0094\phantom{8}\\104\overline{)9864598}\\\phantom{104)}\underline{\phantom{}936\phantom{9999}}\\\phantom{104)9}504\\\phantom{104)}\underline{\phantom{9}416\phantom{999}}\\\phantom{104)99}88\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $9864598$

$$\begin{array}{l}\phantom{104)}0094\phantom{9}\\104\overline{)9864598}\\\phantom{104)}\underline{\phantom{}936\phantom{9999}}\\\phantom{104)9}504\\\phantom{104)}\underline{\phantom{9}416\phantom{999}}\\\phantom{104)99}885\\\end{array}$$

Find closest multiple of $104$ to $885$. We see that $8 \times 104 = 832$ is the nearest. Now subtract $832$ from $885$ to get reminder $53$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{104)}00948\phantom{10}\\104\overline{)9864598}\\\phantom{104)}\underline{\phantom{}936\phantom{9999}}\\\phantom{104)9}504\\\phantom{104)}\underline{\phantom{9}416\phantom{999}}\\\phantom{104)99}885\\\phantom{104)}\underline{\phantom{99}832\phantom{99}}\\\phantom{104)999}53\\\end{array}$$

Use the $6^{th}$ digit $9$ from dividend $9864598$

$$\begin{array}{l}\phantom{104)}00948\phantom{11}\\104\overline{)9864598}\\\phantom{104)}\underline{\phantom{}936\phantom{9999}}\\\phantom{104)9}504\\\phantom{104)}\underline{\phantom{9}416\phantom{999}}\\\phantom{104)99}885\\\phantom{104)}\underline{\phantom{99}832\phantom{99}}\\\phantom{104)999}539\\\end{array}$$

Find closest multiple of $104$ to $539$. We see that $5 \times 104 = 520$ is the nearest. Now subtract $520$ from $539$ to get reminder $19$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{104)}009485\phantom{12}\\104\overline{)9864598}\\\phantom{104)}\underline{\phantom{}936\phantom{9999}}\\\phantom{104)9}504\\\phantom{104)}\underline{\phantom{9}416\phantom{999}}\\\phantom{104)99}885\\\phantom{104)}\underline{\phantom{99}832\phantom{99}}\\\phantom{104)999}539\\\phantom{104)}\underline{\phantom{999}520\phantom{9}}\\\phantom{104)9999}19\\\end{array}$$

Use the $7^{th}$ digit $8$ from dividend $9864598$

$$\begin{array}{l}\phantom{104)}009485\phantom{13}\\104\overline{)9864598}\\\phantom{104)}\underline{\phantom{}936\phantom{9999}}\\\phantom{104)9}504\\\phantom{104)}\underline{\phantom{9}416\phantom{999}}\\\phantom{104)99}885\\\phantom{104)}\underline{\phantom{99}832\phantom{99}}\\\phantom{104)999}539\\\phantom{104)}\underline{\phantom{999}520\phantom{9}}\\\phantom{104)9999}198\\\end{array}$$

Find closest multiple of $104$ to $198$. We see that $1 \times 104 = 104$ is the nearest. Now subtract $104$ from $198$ to get reminder $94$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{104)}0094851\phantom{14}\\104\overline{)9864598}\\\phantom{104)}\underline{\phantom{}936\phantom{9999}}\\\phantom{104)9}504\\\phantom{104)}\underline{\phantom{9}416\phantom{999}}\\\phantom{104)99}885\\\phantom{104)}\underline{\phantom{99}832\phantom{99}}\\\phantom{104)999}539\\\phantom{104)}\underline{\phantom{999}520\phantom{9}}\\\phantom{104)9999}198\\\phantom{104)}\underline{\phantom{9999}104\phantom{}}\\\phantom{104)99999}94\\\end{array}$$

Since $94$ is less than $104$, stop the division. The reminder is $94$. The topmost line $0094851$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $94851$.

$$\text{Quotient: }94851$$ $$\text{Reminder: }94$$

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