How to solve 63569843/83

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 63569843/83 | Equatix

Use the $1^{st}$ digit $6$ from dividend $63569843$

$$\begin{array}{l}\phantom{83)}\phantom{1}\\83\overline{)63569843}\\\end{array}$$

Since $6$ is less than $83$, use the next digit $3$ from dividend $63569843$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{83)}0\phantom{2}\\83\overline{)63569843}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $63569843$

$$\begin{array}{l}\phantom{83)}0\phantom{3}\\83\overline{)63569843}\\\end{array}$$

Since $63$ is less than $83$, use the next digit $5$ from dividend $63569843$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{83)}00\phantom{4}\\83\overline{)63569843}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $63569843$

$$\begin{array}{l}\phantom{83)}00\phantom{5}\\83\overline{)63569843}\\\end{array}$$

Find closest multiple of $83$ to $635$. We see that $7 \times 83 = 581$ is the nearest. Now subtract $581$ from $635$ to get reminder $54$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{83)}007\phantom{6}\\83\overline{)63569843}\\\phantom{83)}\underline{\phantom{}581\phantom{99999}}\\\phantom{83)9}54\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $63569843$

$$\begin{array}{l}\phantom{83)}007\phantom{7}\\83\overline{)63569843}\\\phantom{83)}\underline{\phantom{}581\phantom{99999}}\\\phantom{83)9}546\\\end{array}$$

Find closest multiple of $83$ to $546$. We see that $6 \times 83 = 498$ is the nearest. Now subtract $498$ from $546$ to get reminder $48$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{83)}0076\phantom{8}\\83\overline{)63569843}\\\phantom{83)}\underline{\phantom{}581\phantom{99999}}\\\phantom{83)9}546\\\phantom{83)}\underline{\phantom{9}498\phantom{9999}}\\\phantom{83)99}48\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $63569843$

$$\begin{array}{l}\phantom{83)}0076\phantom{9}\\83\overline{)63569843}\\\phantom{83)}\underline{\phantom{}581\phantom{99999}}\\\phantom{83)9}546\\\phantom{83)}\underline{\phantom{9}498\phantom{9999}}\\\phantom{83)99}489\\\end{array}$$

Find closest multiple of $83$ to $489$. We see that $5 \times 83 = 415$ is the nearest. Now subtract $415$ from $489$ to get reminder $74$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{83)}00765\phantom{10}\\83\overline{)63569843}\\\phantom{83)}\underline{\phantom{}581\phantom{99999}}\\\phantom{83)9}546\\\phantom{83)}\underline{\phantom{9}498\phantom{9999}}\\\phantom{83)99}489\\\phantom{83)}\underline{\phantom{99}415\phantom{999}}\\\phantom{83)999}74\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $63569843$

$$\begin{array}{l}\phantom{83)}00765\phantom{11}\\83\overline{)63569843}\\\phantom{83)}\underline{\phantom{}581\phantom{99999}}\\\phantom{83)9}546\\\phantom{83)}\underline{\phantom{9}498\phantom{9999}}\\\phantom{83)99}489\\\phantom{83)}\underline{\phantom{99}415\phantom{999}}\\\phantom{83)999}748\\\end{array}$$

Find closest multiple of $83$ to $748$. We see that $9 \times 83 = 747$ is the nearest. Now subtract $747$ from $748$ to get reminder $1$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{83)}007659\phantom{12}\\83\overline{)63569843}\\\phantom{83)}\underline{\phantom{}581\phantom{99999}}\\\phantom{83)9}546\\\phantom{83)}\underline{\phantom{9}498\phantom{9999}}\\\phantom{83)99}489\\\phantom{83)}\underline{\phantom{99}415\phantom{999}}\\\phantom{83)999}748\\\phantom{83)}\underline{\phantom{999}747\phantom{99}}\\\phantom{83)99999}1\\\end{array}$$

Use the $7^{th}$ digit $4$ from dividend $63569843$

$$\begin{array}{l}\phantom{83)}007659\phantom{13}\\83\overline{)63569843}\\\phantom{83)}\underline{\phantom{}581\phantom{99999}}\\\phantom{83)9}546\\\phantom{83)}\underline{\phantom{9}498\phantom{9999}}\\\phantom{83)99}489\\\phantom{83)}\underline{\phantom{99}415\phantom{999}}\\\phantom{83)999}748\\\phantom{83)}\underline{\phantom{999}747\phantom{99}}\\\phantom{83)99999}14\\\end{array}$$

Since $14$ is less than $83$, use the next digit $3$ from dividend $63569843$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{83)}0076590\phantom{14}\\83\overline{)63569843}\\\phantom{83)}\underline{\phantom{}581\phantom{99999}}\\\phantom{83)9}546\\\phantom{83)}\underline{\phantom{9}498\phantom{9999}}\\\phantom{83)99}489\\\phantom{83)}\underline{\phantom{99}415\phantom{999}}\\\phantom{83)999}748\\\phantom{83)}\underline{\phantom{999}747\phantom{99}}\\\phantom{83)99999}14\\\end{array}$$

Use the $8^{th}$ digit $3$ from dividend $63569843$

$$\begin{array}{l}\phantom{83)}0076590\phantom{15}\\83\overline{)63569843}\\\phantom{83)}\underline{\phantom{}581\phantom{99999}}\\\phantom{83)9}546\\\phantom{83)}\underline{\phantom{9}498\phantom{9999}}\\\phantom{83)99}489\\\phantom{83)}\underline{\phantom{99}415\phantom{999}}\\\phantom{83)999}748\\\phantom{83)}\underline{\phantom{999}747\phantom{99}}\\\phantom{83)99999}143\\\end{array}$$

Find closest multiple of $83$ to $143$. We see that $1 \times 83 = 83$ is the nearest. Now subtract $83$ from $143$ to get reminder $60$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{83)}00765901\phantom{16}\\83\overline{)63569843}\\\phantom{83)}\underline{\phantom{}581\phantom{99999}}\\\phantom{83)9}546\\\phantom{83)}\underline{\phantom{9}498\phantom{9999}}\\\phantom{83)99}489\\\phantom{83)}\underline{\phantom{99}415\phantom{999}}\\\phantom{83)999}748\\\phantom{83)}\underline{\phantom{999}747\phantom{99}}\\\phantom{83)99999}143\\\phantom{83)}\underline{\phantom{999999}83\phantom{}}\\\phantom{83)999999}60\\\end{array}$$

Since $60$ is less than $83$, stop the division. The reminder is $60$. The topmost line $00765901$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $765901$.

$$\text{Quotient: }765901$$ $$\text{Reminder: }60$$

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