How to solve (724873)/(52)

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 (724873)/(52) | Equatix

Use the $1^{st}$ digit $7$ from dividend $724873$

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)724873}\\\end{array}$$

Since $7$ is less than $52$, use the next digit $2$ from dividend $724873$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)724873}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $724873$

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)724873}\\\end{array}$$

Find closest multiple of $52$ to $72$. We see that $1 \times 52 = 52$ is the nearest. Now subtract $52$ from $72$ to get reminder $20$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{52)}01\phantom{4}\\52\overline{)724873}\\\phantom{52)}\underline{\phantom{}52\phantom{9999}}\\\phantom{52)}20\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $724873$

$$\begin{array}{l}\phantom{52)}01\phantom{5}\\52\overline{)724873}\\\phantom{52)}\underline{\phantom{}52\phantom{9999}}\\\phantom{52)}204\\\end{array}$$

Find closest multiple of $52$ to $204$. We see that $3 \times 52 = 156$ is the nearest. Now subtract $156$ from $204$ to get reminder $48$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{52)}013\phantom{6}\\52\overline{)724873}\\\phantom{52)}\underline{\phantom{}52\phantom{9999}}\\\phantom{52)}204\\\phantom{52)}\underline{\phantom{}156\phantom{999}}\\\phantom{52)9}48\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $724873$

$$\begin{array}{l}\phantom{52)}013\phantom{7}\\52\overline{)724873}\\\phantom{52)}\underline{\phantom{}52\phantom{9999}}\\\phantom{52)}204\\\phantom{52)}\underline{\phantom{}156\phantom{999}}\\\phantom{52)9}488\\\end{array}$$

Find closest multiple of $52$ to $488$. We see that $9 \times 52 = 468$ is the nearest. Now subtract $468$ from $488$ to get reminder $20$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{52)}0139\phantom{8}\\52\overline{)724873}\\\phantom{52)}\underline{\phantom{}52\phantom{9999}}\\\phantom{52)}204\\\phantom{52)}\underline{\phantom{}156\phantom{999}}\\\phantom{52)9}488\\\phantom{52)}\underline{\phantom{9}468\phantom{99}}\\\phantom{52)99}20\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $724873$

$$\begin{array}{l}\phantom{52)}0139\phantom{9}\\52\overline{)724873}\\\phantom{52)}\underline{\phantom{}52\phantom{9999}}\\\phantom{52)}204\\\phantom{52)}\underline{\phantom{}156\phantom{999}}\\\phantom{52)9}488\\\phantom{52)}\underline{\phantom{9}468\phantom{99}}\\\phantom{52)99}207\\\end{array}$$

Find closest multiple of $52$ to $207$. We see that $3 \times 52 = 156$ is the nearest. Now subtract $156$ from $207$ to get reminder $51$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{52)}01393\phantom{10}\\52\overline{)724873}\\\phantom{52)}\underline{\phantom{}52\phantom{9999}}\\\phantom{52)}204\\\phantom{52)}\underline{\phantom{}156\phantom{999}}\\\phantom{52)9}488\\\phantom{52)}\underline{\phantom{9}468\phantom{99}}\\\phantom{52)99}207\\\phantom{52)}\underline{\phantom{99}156\phantom{9}}\\\phantom{52)999}51\\\end{array}$$

Use the $6^{th}$ digit $3$ from dividend $724873$

$$\begin{array}{l}\phantom{52)}01393\phantom{11}\\52\overline{)724873}\\\phantom{52)}\underline{\phantom{}52\phantom{9999}}\\\phantom{52)}204\\\phantom{52)}\underline{\phantom{}156\phantom{999}}\\\phantom{52)9}488\\\phantom{52)}\underline{\phantom{9}468\phantom{99}}\\\phantom{52)99}207\\\phantom{52)}\underline{\phantom{99}156\phantom{9}}\\\phantom{52)999}513\\\end{array}$$

Find closest multiple of $52$ to $513$. We see that $9 \times 52 = 468$ is the nearest. Now subtract $468$ from $513$ to get reminder $45$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{52)}013939\phantom{12}\\52\overline{)724873}\\\phantom{52)}\underline{\phantom{}52\phantom{9999}}\\\phantom{52)}204\\\phantom{52)}\underline{\phantom{}156\phantom{999}}\\\phantom{52)9}488\\\phantom{52)}\underline{\phantom{9}468\phantom{99}}\\\phantom{52)99}207\\\phantom{52)}\underline{\phantom{99}156\phantom{9}}\\\phantom{52)999}513\\\phantom{52)}\underline{\phantom{999}468\phantom{}}\\\phantom{52)9999}45\\\end{array}$$

Since $45$ is less than $52$, stop the division. The reminder is $45$. The topmost line $013939$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $13939$.

$$\text{Quotient: }13939$$ $$\text{Reminder: }45$$

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