How to solve 9842398/48

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 9842398/48 | Equatix

Use the $1^{st}$ digit $9$ from dividend $9842398$

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)9842398}\\\end{array}$$

Since $9$ is less than $48$, use the next digit $8$ from dividend $9842398$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)9842398}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $9842398$

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)9842398}\\\end{array}$$

Find closest multiple of $48$ to $98$. We see that $2 \times 48 = 96$ is the nearest. Now subtract $96$ from $98$ to get reminder $2$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{48)}02\phantom{4}\\48\overline{)9842398}\\\phantom{48)}\underline{\phantom{}96\phantom{99999}}\\\phantom{48)9}2\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $9842398$

$$\begin{array}{l}\phantom{48)}02\phantom{5}\\48\overline{)9842398}\\\phantom{48)}\underline{\phantom{}96\phantom{99999}}\\\phantom{48)9}24\\\end{array}$$

Since $24$ is less than $48$, use the next digit $2$ from dividend $9842398$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{48)}020\phantom{6}\\48\overline{)9842398}\\\phantom{48)}\underline{\phantom{}96\phantom{99999}}\\\phantom{48)9}24\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $9842398$

$$\begin{array}{l}\phantom{48)}020\phantom{7}\\48\overline{)9842398}\\\phantom{48)}\underline{\phantom{}96\phantom{99999}}\\\phantom{48)9}242\\\end{array}$$

Find closest multiple of $48$ to $242$. We see that $5 \times 48 = 240$ is the nearest. Now subtract $240$ from $242$ to get reminder $2$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{48)}0205\phantom{8}\\48\overline{)9842398}\\\phantom{48)}\underline{\phantom{}96\phantom{99999}}\\\phantom{48)9}242\\\phantom{48)}\underline{\phantom{9}240\phantom{999}}\\\phantom{48)999}2\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $9842398$

$$\begin{array}{l}\phantom{48)}0205\phantom{9}\\48\overline{)9842398}\\\phantom{48)}\underline{\phantom{}96\phantom{99999}}\\\phantom{48)9}242\\\phantom{48)}\underline{\phantom{9}240\phantom{999}}\\\phantom{48)999}23\\\end{array}$$

Since $23$ is less than $48$, use the next digit $9$ from dividend $9842398$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{48)}02050\phantom{10}\\48\overline{)9842398}\\\phantom{48)}\underline{\phantom{}96\phantom{99999}}\\\phantom{48)9}242\\\phantom{48)}\underline{\phantom{9}240\phantom{999}}\\\phantom{48)999}23\\\end{array}$$

Use the $6^{th}$ digit $9$ from dividend $9842398$

$$\begin{array}{l}\phantom{48)}02050\phantom{11}\\48\overline{)9842398}\\\phantom{48)}\underline{\phantom{}96\phantom{99999}}\\\phantom{48)9}242\\\phantom{48)}\underline{\phantom{9}240\phantom{999}}\\\phantom{48)999}239\\\end{array}$$

Find closest multiple of $48$ to $239$. We see that $4 \times 48 = 192$ is the nearest. Now subtract $192$ from $239$ to get reminder $47$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{48)}020504\phantom{12}\\48\overline{)9842398}\\\phantom{48)}\underline{\phantom{}96\phantom{99999}}\\\phantom{48)9}242\\\phantom{48)}\underline{\phantom{9}240\phantom{999}}\\\phantom{48)999}239\\\phantom{48)}\underline{\phantom{999}192\phantom{9}}\\\phantom{48)9999}47\\\end{array}$$

Use the $7^{th}$ digit $8$ from dividend $9842398$

$$\begin{array}{l}\phantom{48)}020504\phantom{13}\\48\overline{)9842398}\\\phantom{48)}\underline{\phantom{}96\phantom{99999}}\\\phantom{48)9}242\\\phantom{48)}\underline{\phantom{9}240\phantom{999}}\\\phantom{48)999}239\\\phantom{48)}\underline{\phantom{999}192\phantom{9}}\\\phantom{48)9999}478\\\end{array}$$

Find closest multiple of $48$ to $478$. We see that $9 \times 48 = 432$ is the nearest. Now subtract $432$ from $478$ to get reminder $46$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{48)}0205049\phantom{14}\\48\overline{)9842398}\\\phantom{48)}\underline{\phantom{}96\phantom{99999}}\\\phantom{48)9}242\\\phantom{48)}\underline{\phantom{9}240\phantom{999}}\\\phantom{48)999}239\\\phantom{48)}\underline{\phantom{999}192\phantom{9}}\\\phantom{48)9999}478\\\phantom{48)}\underline{\phantom{9999}432\phantom{}}\\\phantom{48)99999}46\\\end{array}$$

Since $46$ is less than $48$, stop the division. The reminder is $46$. The topmost line $0205049$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $205049$.

$$\text{Quotient: }205049$$ $$\text{Reminder: }46$$

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