How to solve 935824/47

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 935824/47 | Equatix

Use the $1^{st}$ digit $9$ from dividend $935824$

$$\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)935824}\\\end{array}$$

Since $9$ is less than $47$, use the next digit $3$ from dividend $935824$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)935824}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $935824$

$$\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)935824}\\\end{array}$$

Find closest multiple of $47$ to $93$. We see that $1 \times 47 = 47$ is the nearest. Now subtract $47$ from $93$ to get reminder $46$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{47)}01\phantom{4}\\47\overline{)935824}\\\phantom{47)}\underline{\phantom{}47\phantom{9999}}\\\phantom{47)}46\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $935824$

$$\begin{array}{l}\phantom{47)}01\phantom{5}\\47\overline{)935824}\\\phantom{47)}\underline{\phantom{}47\phantom{9999}}\\\phantom{47)}465\\\end{array}$$

Find closest multiple of $47$ to $465$. We see that $9 \times 47 = 423$ is the nearest. Now subtract $423$ from $465$ to get reminder $42$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{47)}019\phantom{6}\\47\overline{)935824}\\\phantom{47)}\underline{\phantom{}47\phantom{9999}}\\\phantom{47)}465\\\phantom{47)}\underline{\phantom{}423\phantom{999}}\\\phantom{47)9}42\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $935824$

$$\begin{array}{l}\phantom{47)}019\phantom{7}\\47\overline{)935824}\\\phantom{47)}\underline{\phantom{}47\phantom{9999}}\\\phantom{47)}465\\\phantom{47)}\underline{\phantom{}423\phantom{999}}\\\phantom{47)9}428\\\end{array}$$

Find closest multiple of $47$ to $428$. We see that $9 \times 47 = 423$ is the nearest. Now subtract $423$ from $428$ to get reminder $5$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{47)}0199\phantom{8}\\47\overline{)935824}\\\phantom{47)}\underline{\phantom{}47\phantom{9999}}\\\phantom{47)}465\\\phantom{47)}\underline{\phantom{}423\phantom{999}}\\\phantom{47)9}428\\\phantom{47)}\underline{\phantom{9}423\phantom{99}}\\\phantom{47)999}5\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $935824$

$$\begin{array}{l}\phantom{47)}0199\phantom{9}\\47\overline{)935824}\\\phantom{47)}\underline{\phantom{}47\phantom{9999}}\\\phantom{47)}465\\\phantom{47)}\underline{\phantom{}423\phantom{999}}\\\phantom{47)9}428\\\phantom{47)}\underline{\phantom{9}423\phantom{99}}\\\phantom{47)999}52\\\end{array}$$

Find closest multiple of $47$ to $52$. We see that $1 \times 47 = 47$ is the nearest. Now subtract $47$ from $52$ to get reminder $5$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{47)}01991\phantom{10}\\47\overline{)935824}\\\phantom{47)}\underline{\phantom{}47\phantom{9999}}\\\phantom{47)}465\\\phantom{47)}\underline{\phantom{}423\phantom{999}}\\\phantom{47)9}428\\\phantom{47)}\underline{\phantom{9}423\phantom{99}}\\\phantom{47)999}52\\\phantom{47)}\underline{\phantom{999}47\phantom{9}}\\\phantom{47)9999}5\\\end{array}$$

Use the $6^{th}$ digit $4$ from dividend $935824$

$$\begin{array}{l}\phantom{47)}01991\phantom{11}\\47\overline{)935824}\\\phantom{47)}\underline{\phantom{}47\phantom{9999}}\\\phantom{47)}465\\\phantom{47)}\underline{\phantom{}423\phantom{999}}\\\phantom{47)9}428\\\phantom{47)}\underline{\phantom{9}423\phantom{99}}\\\phantom{47)999}52\\\phantom{47)}\underline{\phantom{999}47\phantom{9}}\\\phantom{47)9999}54\\\end{array}$$

Find closest multiple of $47$ to $54$. We see that $1 \times 47 = 47$ is the nearest. Now subtract $47$ from $54$ to get reminder $7$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{47)}019911\phantom{12}\\47\overline{)935824}\\\phantom{47)}\underline{\phantom{}47\phantom{9999}}\\\phantom{47)}465\\\phantom{47)}\underline{\phantom{}423\phantom{999}}\\\phantom{47)9}428\\\phantom{47)}\underline{\phantom{9}423\phantom{99}}\\\phantom{47)999}52\\\phantom{47)}\underline{\phantom{999}47\phantom{9}}\\\phantom{47)9999}54\\\phantom{47)}\underline{\phantom{9999}47\phantom{}}\\\phantom{47)99999}7\\\end{array}$$

Since $7$ is less than $47$, stop the division. The reminder is $7$. The topmost line $019911$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $19911$.

$$\text{Quotient: }19911$$ $$\text{Reminder: }7$$

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